Tags

Jharkhand

• Jharkhand State University Governance Manual

Moyal bracket

• Quantum Mechanics in Phase Space

University Governance

• Jharkhand State University Governance Manual

Weyl transform

• Quantum Mechanics in Phase Space

Witten index

• Supersymmetry from First Principles: How Bosons and Fermions Are Related

academic-speech

• Structure of Formal Salutation

• औपचारिक अभिवादन

• सेवानिवृत्ति भाषण: 2026

action-principle

• Lagrangian Mechanics-Advance

algebra

• Symmetry and Algebra in Physics

algorithms

• Algorithms, Flowcharts, and Program Structure

angular momentum

• I: Magnetic oscillator stability and rotated-coordinate reduction

• Spherical Harmonics and Their Research Extensions

angular-momentum

• Central-Force Motion and Angular Momentum

• Quantum Angular Momentum

angular-momentum quench

• III: A Fixed-Confinement Angular-Momentum Quench

• VI: Exceptional-Basis Spectral Propagation and Synchronization

• VII: Non-Gaussian Mutual Information: Exact Entropy and Covariance Bounds

approximation

• Errors, Significant Digits, and Approximation

arithmetic

• Python Types, Arithmetic, Precision, and Input-Output

arrays

• One- and Two-Dimensional Arrays in Python

artificial-intelligence

• Talk on AI

assets

• How To Manage Images And PDFs

atomic-size

• Heisenberg Uncertainty Principle and Its Consequences

babinet-compensator

• Retardation Plates, Babinet Compensator, and Polarization Analysis

bisection

• Bisection, Newton, Fixed-Point Iteration, and Convergence

blackbody-radiation

• Why Quantum Mechanics: Radiation Quanta

bosons and fermions

• Supersymmetry from First Principles: How Bosons and Fermions Are Related

boundary-conditions

• Boundary Conditions, Rigid-Wall Box, and Square Wells

• Electromagnetic Boundaries, Dielectric Waves, and Energy Flow

box-potential

• Three-Dimensional Free Particle, Box, Rigid Rotator, and Hydrogen Ground State

brewster-law

• Reflection and Refraction at a Dielectric Interface

bsc

• Anisotropic Crystals, Double Refraction, and the Nicol Prism

• Canonical Transformations, Poisson Brackets, and Lagrange Brackets

• Coordinate Systems, Virtual Work, and D’Alembert’s Principle

• Electromagnetic Boundaries, Dielectric Waves, and Energy Flow

• Electromagnetic Waves in Conductors: Relaxation and Skin Depth

• Frames, the Michelson–Morley Experiment, and Einstein’s Postulates

• Hamiltonian Dynamics and Mechanical Examples

• Lagrangian Dynamics and Applications

• Length Contraction and Time Dilation

• Linear, Circular, and Elliptical Polarization

• Lorentz Transformations from the Light Postulate

• Maxwell Equations, Displacement Current, and Potentials

• Newtonian Mechanics and Charged Particles in Uniform Fields

• Optical Fibres: Numerical Aperture, Index Profiles, and Modes

• Optical Rotation: Biot’s Laws and Fresnel’s Theory

• Planar Dielectric Waveguides and Guided-Wave Power

• Plane Electromagnetic Waves in Vacuum and Dielectrics

• Reflection and Refraction at a Dielectric Interface

• Relativistic Doppler Effect

• Relativistic Mass, Mass–Energy Equivalence, and Massless Particles

• Retardation Plates, Babinet Compensator, and Polarization Analysis

• Simultaneity, Event Order, and Relativistic Velocity Addition

• Variational Principles, Constraints, and Least Action

build

• How To Build And Check The Site

calogero

• Calogero–Sinha Case

canonical-transformations

• Canonical Transformations, Poisson Brackets, and Lagrange Brackets

capillary-flow

• Viscosity and Poiseuille Flow

cauchy-integral

• Contour Integration

central-force

• Central-Force Motion and Angular Momentum

centrifugal-force

• Central-Force Motion and Angular Momentum

charged-particle

• Newtonian Mechanics and Charged Particles in Uniform Fields

checks

• How To Build And Check The Site

circular-orbit

• Circular Satellites and Applications

classical-mechanics

• Canonical Transformations, Poisson Brackets, and Lagrange Brackets

• Coordinate Systems, Virtual Work, and D’Alembert’s Principle

• Hamiltonian Dynamics and Mechanical Examples

• Lagrangian Dynamics and Applications

• Lagrangian Mechanics-Advance

• Newtonian Mechanics and Charged Particles in Uniform Fields

• Variational Principles, Constraints, and Least Action

code

• How To Write Code Blocks

coherent-states

• Coherent States

commutators

• Quantum Postulates, Wavefunctions, and Operators

complex-analysis

• Contour Integration

compound-pendulum

• Simple, Compound, and Torsional Pendulums

compressible-flow

• Compressible Capillary Flow and Rankine’s Method

compton-scattering

• Why Quantum Mechanics: Radiation Quanta

conditionals

• Python Conditionals, Loops, and Iteration

conducting-media

• Electromagnetic Waves in Conductors: Relaxation and Skin Depth

contact-angle

• Surface Tension, Contact Angle and Virtual Work

contour-integration

• Contour Integration

control-structures

• Python Conditionals, Loops, and Iteration

convergence

• Bisection, Newton, Fixed-Point Iteration, and Convergence

covariance dynamics

• IV: Exact First-Order Covariance Response Without Gaussian Closure

covariance limitations

• V: Survival Curvature Beyond the Linear Covariance Response

covariance matrix

• Covariance, Gaussian Completeness, and Moment Closure

• VII: Non-Gaussian Mutual Information: Exact Entropy and Covariance Bounds

cutoff convergence

• VI: Exceptional-Basis Spectral Propagation and Synchronization

dalembert-principle

• Coordinate Systems, Virtual Work, and D’Alembert’s Principle

damping

• LC Circuit and Damped Oscillations

data

• How To Edit Site Data

data-types

• Python Types, Arithmetic, Precision, and Input-Output

davisson-germer

• Matter Waves, Phase and Group Velocities, and Electron Diffraction

de-broglie-wavelength

• Matter Waves, Phase and Group Velocities, and Electron Diffraction

delta-potential

• Quantum Mechanics in Momentum Space by M Lieber

dispersion

• Ripples and Gravity Waves

doc

• How To Write In Markdown

• How To Write LaTeX Equations

• How To Write Quiz And Standard Problems

documentation

• How To Edit SCSS Partials

• How To Edit Site Data

• How To Write Code Blocks

• How To Write YAML Front Matter

double-refraction

• Anisotropic Crystals, Double Refraction, and the Nicol Prism

eigenvalues

• Power and Jacobi Eigenvalue Methods

elastic-moduli

• Elasticity and Elastic Constants

elasticity

• Elasticity and Elastic Constants

electromagnetic-theory

• Anisotropic Crystals, Double Refraction, and the Nicol Prism

• Electromagnetic Boundaries, Dielectric Waves, and Energy Flow

• Electromagnetic Waves in Conductors: Relaxation and Skin Depth

• Linear, Circular, and Elliptical Polarization

• Maxwell Equations, Displacement Current, and Potentials

• Optical Fibres: Numerical Aperture, Index Profiles, and Modes

• Optical Rotation: Biot’s Laws and Fresnel’s Theory

• Planar Dielectric Waveguides and Guided-Wave Power

• Plane Electromagnetic Waves in Vacuum and Dielectrics

• Reflection and Refraction at a Dielectric Interface

• Retardation Plates, Babinet Compensator, and Polarization Analysis

energy

• Simple Harmonic Motion and Energy

energy variance

• V: Survival Curvature Beyond the Linear Covariance Response

energy-eigenfunctions

• Energy-Eigenfunction Expansion and Time Evolution

energy-eigenvalues

• Schrödinger Equations and Stationary States

english

• Structure of Formal Salutation

equations

• How To Write LaTeX Equations

error-analysis

• Errors, Significant Digits, and Approximation

euler-method

• Euler and Fourth-Order Runge-Kutta Methods

event-order

• Simultaneity, Event Order, and Relativistic Velocity Addition

exactly-solvable-potentials

• Shape Invariance and Ramos

exam

• How To Add Exam Material

• How To Write Quiz And Standard Problems

exceptional Hermite

• VI: Exceptional-Basis Spectral Propagation and Synchronization

• VII: Non-Gaussian Mutual Information: Exact Entropy and Covariance Bounds

exceptional Hermite polynomials

• II: Exact exceptional-Hermite preparation before the angular quench

exceptional Hermite states

• III: A Fixed-Confinement Angular-Momentum Quench

• IV: Exact First-Order Covariance Response Without Gaussian Closure

• V: Survival Curvature Beyond the Linear Covariance Response

excess-pressure

• Surface Tension, Contact Angle and Virtual Work

finite-differences

• Newton Forward and Backward Interpolation

• Numerical Differentiation with Finite Differences

finite-square-well

• Boundary Conditions, Rigid-Wall Box, and Square Wells

fixed confinement

• III: A Fixed-Confinement Angular-Momentum Quench

fixed-point

• Bisection, Newton, Fixed-Point Iteration, and Convergence

flowcharts

• Algorithms, Flowcharts, and Program Structure

fock

• Fock

• Fock-German

forced-oscillation

• Forced Oscillations, Resonance, and Quality Factor

formal-salutation

• Structure of Formal Salutation

• औपचारिक अभिवादन

fourier-transform

• Free Gaussian Wave Packet and Momentum Space

fresnel-formulae

• Reflection and Refraction at a Dielectric Interface

front-matter

• How To Write YAML Front Matter

functions

• Python Functions, Parameters, Scope, and Recursion

gas-viscosity

• Compressible Capillary Flow and Rankine’s Method

gauss-seidel

• Jacobi and Gauss-Seidel Iteration

gaussian states

• Covariance, Gaussian Completeness, and Moment Closure

gaussian-elimination

• Gaussian Elimination and LU Decomposition

gaussian-quadrature

• Trapezoidal, Simpson, and Gaussian Quadrature

gaussian-spreading

• Free Gaussian Wave Packet and Momentum Space

gaussian-states

• Quantum Information: NonG Measure

graded-algebra

• Lie Superalgebras in Supersymmetry

• Supersymmetry and Lie Superalgebras

gravitation

• Kepler’s Laws and Their Derivation

gravity-waves

• Ripples and Gravity Waves

group-theory

• Foundations of Symmetry in Quantum Theory

guided-waves

• Planar Dielectric Waveguides and Guided-Wave Power

hamiltonian

• Schrödinger Equations and Stationary States

hamiltonian-dynamics

• Hamiltonian Dynamics and Mechanical Examples

harmonic oscillator

• Covariance, Gaussian Completeness, and Moment Closure

• Quantum Mechanics in Phase Space

harmonic-oscillator

• Coherent States

• Harmonic Oscillator and Lie Superalgebra

• Linear Harmonic Oscillator in One and Three Dimensions

• Magnetic Oscillator Complexity

hermite-polynomials

• Linear Harmonic Oscillator in One and Three Dimensions

hermitian-operators

• Quantum Postulates, Wavefunctions, and Operators

hindi

• औपचारिक अभिवादन

• सेवानिवृत्ति भाषण: 2026

hookes-law

• Elasticity and Elastic Constants

hydrogen-atom

• Fock

• Fock-German

hydrogen-ground-state

• Three-Dimensional Free Particle, Box, Rigid Rotator, and Hydrogen Ground State

images

• How To Manage Images And PDFs

inertial-frames

• Frames, the Michelson–Morley Experiment, and Einstein’s Postulates

infinite-square-well

• Boundary Conditions, Rigid-Wall Box, and Square Wells

input-output

• Python Types, Arithmetic, Precision, and Input-Output

interactive

• How To Write Quiz And Standard Problems

interpolation

• Newton Forward and Backward Interpolation

iteration

• Python Conditionals, Loops, and Iteration

jacobi-iteration

• Jacobi and Gauss-Seidel Iteration

jacobi-method

• Power and Jacobi Eigenvalue Methods

jekyll

• How To Build And Check The Site

• How To Edit Site Data

• How To Write YAML Front Matter

kepler-laws

• Kepler’s Laws and Their Derivation

lagrangian

• Lagrangian Mechanics-Advance

lagrangian-dynamics

• Lagrangian Dynamics and Applications

laguerre-polynomials

• PT-Symmetric Radial Oscillator

latex

• How To Write LaTeX Equations

lc-circuit

• LC Circuit and Damped Oscillations

least-squares

• Least-Squares Linear and Polynomial Regression

lecture

• How To Add Lecture Notes

length-contraction

• Length Contraction and Time Dilation

lie-algebra

• Symmetry and Algebra in Physics

lie-algebras

• Lie Groups, Lie Algebras, and Quantum Structure

lie-groups

• Lie Groups, Lie Algebras, and Quantum Structure

lie-superalgebra

• Harmonic Oscillator and Lie Superalgebra

• Lie Superalgebras in Supersymmetry

• Supersymmetry and Lie Superalgebras

linear-regression

• Least-Squares Linear and Polynomial Regression

linear-systems

• Gaussian Elimination and LU Decomposition

• Jacobi and Gauss-Seidel Iteration

loops

• Python Conditionals, Loops, and Iteration

lorentz-transformation

• Lorentz Transformations from the Light Postulate

lu-decomposition

• Gaussian Elimination and LU Decomposition

machine-intelligence

• Talk on AI

magnetic oscillator

• I: Magnetic oscillator stability and rotated-coordinate reduction

• III: A Fixed-Confinement Angular-Momentum Quench

magnetic-field

• Magnetic Oscillator Complexity

markdown

• How To Write Code Blocks

• How To Write In Markdown

mass-energy-equivalence

• Relativistic Mass, Mass–Energy Equivalence, and Massless Particles

massless-particles

• Relativistic Mass, Mass–Energy Equivalence, and Massless Particles

mathematical physics

• Spherical Harmonics and Their Research Extensions

matter-waves

• Matter Waves, Phase and Group Velocities, and Electron Diffraction

maxwell-equations

• Maxwell Equations, Displacement Current, and Potentials

mechanics

• Central-Force Motion and Angular Momentum

• Circular Satellites and Applications

• Kepler’s Laws and Their Derivation

michelson-morley

• Frames, the Michelson–Morley Experiment, and Einstein’s Postulates

minimal coupling

• I: Magnetic oscillator stability and rotated-coordinate reduction

mj-10

• Canonical Transformations, Poisson Brackets, and Lagrange Brackets

• Coordinate Systems, Virtual Work, and D’Alembert’s Principle

• Hamiltonian Dynamics and Mechanical Examples

• Lagrangian Dynamics and Applications

• Newtonian Mechanics and Charged Particles in Uniform Fields

• Variational Principles, Constraints, and Least Action

mj-8

• Anisotropic Crystals, Double Refraction, and the Nicol Prism

• Electromagnetic Boundaries, Dielectric Waves, and Energy Flow

• Electromagnetic Waves in Conductors: Relaxation and Skin Depth

• Linear, Circular, and Elliptical Polarization

• Maxwell Equations, Displacement Current, and Potentials

• Optical Fibres: Numerical Aperture, Index Profiles, and Modes

• Optical Rotation: Biot’s Laws and Fresnel’s Theory

• Planar Dielectric Waveguides and Guided-Wave Power

• Plane Electromagnetic Waves in Vacuum and Dielectrics

• Reflection and Refraction at a Dielectric Interface

• Retardation Plates, Babinet Compensator, and Polarization Analysis

moment hierarchy

• Covariance, Gaussian Completeness, and Moment Closure

• IV: Exact First-Order Covariance Response Without Gaussian Closure

momentum-space

• Fock

• Fock-German

• Free Gaussian Wave Packet and Momentum Space

• Quantum Mechanics in Momentum Space by M Lieber

mutual information

• VII: Non-Gaussian Mutual Information: Exact Entropy and Covariance Bounds

newton-formulae

• Newton Forward and Backward Interpolation

newton-raphson

• Bisection, Newton, Fixed-Point Iteration, and Convergence

nicol-prism

• Anisotropic Crystals, Double Refraction, and the Nicol Prism

non-Gaussian dynamics

• III: A Fixed-Confinement Angular-Momentum Quench

• IV: Exact First-Order Covariance Response Without Gaussian Closure

• V: Survival Curvature Beyond the Linear Covariance Response

• VI: Exceptional-Basis Spectral Propagation and Synchronization

non-Gaussian states

• II: Exact exceptional-Hermite preparation before the angular quench

• VII: Non-Gaussian Mutual Information: Exact Entropy and Covariance Bounds

non-gaussian states

• Covariance, Gaussian Completeness, and Moment Closure

non-gaussianity

• Quantum Information: NonG Measure

• Quantum Information: Weigner Non-Gaussianity Measure

notes

• How To Add Lecture Notes

nuclear-confinement

• Heisenberg Uncertainty Principle and Its Consequences

numerical-aperture

• Optical Fibres: Numerical Aperture, Index Profiles, and Modes

numerical-differentiation

• Numerical Differentiation with Finite Differences

numerical-methods

• Bisection, Newton, Fixed-Point Iteration, and Convergence

• Errors, Significant Digits, and Approximation

• Euler and Fourth-Order Runge-Kutta Methods

• Gaussian Elimination and LU Decomposition

• Jacobi and Gauss-Seidel Iteration

• Least-Squares Linear and Polynomial Regression

• Newton Forward and Backward Interpolation

• Numerical Differentiation with Finite Differences

• Power and Jacobi Eigenvalue Methods

• Trapezoidal, Simpson, and Gaussian Quadrature

one-dimensional-arrays

• One- and Two-Dimensional Arrays in Python

optical-fibre

• Optical Fibres: Numerical Aperture, Index Profiles, and Modes

optical-rotation

• Optical Rotation: Biot’s Laws and Fresnel’s Theory

ordinary-differential-equations

• Euler and Fourth-Order Runge-Kutta Methods

oscillations

• Forced Oscillations, Resonance, and Quality Factor

• LC Circuit and Damped Oscillations

• Simple Harmonic Motion and Energy

• Simple, Compound, and Torsional Pendulums

parameter-passing

• Python Functions, Parameters, Scope, and Recursion

parity

• II: Exact exceptional-Hermite preparation before the angular quench

particle-in-a-box

• Boundary Conditions, Rigid-Wall Box, and Square Wells

pdf

• How To Manage Images And PDFs

phase-space

• Quantum Information: Weigner Non-Gaussianity Measure

phase-space quantum mechanics

• Quantum Mechanics in Phase Space

photoelectric-effect

• Why Quantum Mechanics: Radiation Quanta

physics

• Symmetry and Algebra in Physics

planar-waveguide

• Planar Dielectric Waveguides and Guided-Wave Power

plane-waves

• Plane Electromagnetic Waves in Vacuum and Dielectrics

poiseuille-flow

• Viscosity and Poiseuille Flow

poisson-ratio

• Elasticity and Elastic Constants

polarization

• Linear, Circular, and Elliptical Polarization

polynomial-regression

• Least-Squares Linear and Polynomial Regression

power-method

• Power and Jacobi Eigenvalue Methods

poynting-theorem

• Electromagnetic Boundaries, Dielectric Waves, and Energy Flow

probability-current

• Quantum Postulates, Wavefunctions, and Operators

problems

• How To Add Exam Material

• How To Write Quiz And Standard Problems

programming-fundamentals

• Algorithms, Flowcharts, and Program Structure

pt-symmetry

• PT-Symmetric Radial Oscillator

python

• Algorithms, Flowcharts, and Program Structure

• One- and Two-Dimensional Arrays in Python

• Python Conditionals, Loops, and Iteration

• Python Functions, Parameters, Scope, and Recursion

• Python Types, Arithmetic, Precision, and Input-Output

quadrature

• Trapezoidal, Simpson, and Gaussian Quadrature

quality-factor

• Forced Oscillations, Resonance, and Quality Factor

quantum quench

• I: Magnetic oscillator stability and rotated-coordinate reduction

• II: Exact exceptional-Hermite preparation before the angular quench

quantum synchronization

• IV: Exact First-Order Covariance Response Without Gaussian Closure

• VI: Exceptional-Basis Spectral Propagation and Synchronization

quantum-complexity

• Magnetic Oscillator Complexity

quantum-information

• Quantum Information: NonG Measure

• Quantum Information: Weigner Non-Gaussianity Measure

quantum-mechanics

• Calogero–Sinha Case

• Fock

• Fock-German

• Foundations of Symmetry in Quantum Theory

• PT-Symmetric Radial Oscillator

• Quantum Angular Momentum

• Quantum Mechanics in Momentum Space by M Lieber

• Why Quantum Mechanics: Radiation Quanta

quantum-optics

• Coherent States

quantum-postulates

• Quantum Postulates, Wavefunctions, and Operators

quantum-structure

• Lie Groups, Lie Algebras, and Quantum Structure

quantum-symmetry

• Foundations of Symmetry in Quantum Theory

quiz

• How To Add Exam Material

• How To Write Quiz And Standard Problems

radial-oscillator

• PT-Symmetric Radial Oscillator

rankine-method

• Compressible Capillary Flow and Rankine’s Method

rational oscillator

• II: Exact exceptional-Hermite preparation before the angular quench

recursion

• Python Functions, Parameters, Scope, and Recursion

relative entropy

• VII: Non-Gaussian Mutual Information: Exact Entropy and Covariance Bounds

relative-entropy

• Quantum Information: NonG Measure

relativistic-doppler-effect

• Relativistic Doppler Effect

relativistic-mass

• Relativistic Mass, Mass–Energy Equivalence, and Massless Particles

residue-theorem

• Contour Integration

resonance

• Forced Oscillations, Resonance, and Quality Factor

retirement-speech

• सेवानिवृत्ति भाषण: 2026

rigid-rotator

• Three-Dimensional Free Particle, Box, Rigid Rotator, and Hydrogen Ground State

ripples

• Ripples and Gravity Waves

rotations

• Quantum Angular Momentum

runge-kutta

• Euler and Fourth-Order Runge-Kutta Methods

sass

• How To Edit SCSS Partials

satellite

• Circular Satellites and Applications

schrodinger-equation

• Quantum Mechanics in Momentum Space by M Lieber

• Schrödinger Equations and Stationary States

scope

• Python Functions, Parameters, Scope, and Recursion

scss

• How To Edit SCSS Partials

• How To Write Code Blocks

semester-i

• Frames, the Michelson–Morley Experiment, and Einstein’s Postulates

• Length Contraction and Time Dilation

• Lorentz Transformations from the Light Postulate

• Relativistic Doppler Effect

• Relativistic Mass, Mass–Energy Equivalence, and Massless Particles

• Simultaneity, Event Order, and Relativistic Velocity Addition

semester-v

• Anisotropic Crystals, Double Refraction, and the Nicol Prism

• Canonical Transformations, Poisson Brackets, and Lagrange Brackets

• Coordinate Systems, Virtual Work, and D’Alembert’s Principle

• Electromagnetic Boundaries, Dielectric Waves, and Energy Flow

• Electromagnetic Waves in Conductors: Relaxation and Skin Depth

• Hamiltonian Dynamics and Mechanical Examples

• Lagrangian Dynamics and Applications

• Linear, Circular, and Elliptical Polarization

• Maxwell Equations, Displacement Current, and Potentials

• Newtonian Mechanics and Charged Particles in Uniform Fields

• Optical Fibres: Numerical Aperture, Index Profiles, and Modes

• Optical Rotation: Biot’s Laws and Fresnel’s Theory

• Planar Dielectric Waveguides and Guided-Wave Power

• Plane Electromagnetic Waves in Vacuum and Dielectrics

• Reflection and Refraction at a Dielectric Interface

• Retardation Plates, Babinet Compensator, and Polarization Analysis

• Variational Principles, Constraints, and Least Action

shape-invariance

• Shape Invariance and Ramos

simple-harmonic-motion

• Simple Harmonic Motion and Energy

simple-pendulum

• Simple, Compound, and Torsional Pendulums

simpson-rule

• Trapezoidal, Simpson, and Gaussian Quadrature

simultaneity

• Simultaneity, Event Order, and Relativistic Velocity Addition

singular-oscillator

• Calogero–Sinha Case

skin-depth

• Electromagnetic Waves in Conductors: Relaxation and Skin Depth

special functions

• Spherical Harmonics and Their Research Extensions

special-relativity

• Frames, the Michelson–Morley Experiment, and Einstein’s Postulates

• Length Contraction and Time Dilation

• Lorentz Transformations from the Light Postulate

• Relativistic Doppler Effect

• Relativistic Mass, Mass–Energy Equivalence, and Massless Particles

• Simultaneity, Event Order, and Relativistic Velocity Addition

specific-rotation

• Optical Rotation: Biot’s Laws and Fresnel’s Theory

spectral geometry

• Spherical Harmonics and Their Research Extensions

spectral propagation

• VI: Exceptional-Basis Spectral Propagation and Synchronization

spectral-expansion

• Energy-Eigenfunction Expansion and Time Evolution

spherical harmonics

• Spherical Harmonics and Their Research Extensions

stability

• I: Magnetic oscillator stability and rotated-coordinate reduction

stationary-states

• Energy-Eigenfunction Expansion and Time Evolution

• Schrödinger Equations and Stationary States

styles

• How To Edit SCSS Partials

supercharges

• Supersymmetry from First Principles: How Bosons and Fermions Are Related

supergeometry

• Superspace, Supergeometry, and Supersymmetry Transformations

superspace

• Superspace, Supergeometry, and Supersymmetry Transformations

supersymmetric quantum mechanics

• Supersymmetry from First Principles: How Bosons and Fermions Are Related

supersymmetry

• Harmonic Oscillator and Lie Superalgebra

• Lie Superalgebras in Supersymmetry

• Superspace, Supergeometry, and Supersymmetry Transformations

• Supersymmetry and Lie Superalgebras

• Supersymmetry from First Principles: How Bosons and Fermions Are Related

surface-energy

• Surface Tension, Contact Angle and Virtual Work

surface-tension

• Surface Tension, Contact Angle and Virtual Work

surface-waves

• Ripples and Gravity Waves

survival probability

• V: Survival Curvature Beyond the Linear Covariance Response

susy-qm

• Shape Invariance and Ramos

symmetry

• Lie Groups, Lie Algebras, and Quantum Structure

• Superspace, Supergeometry, and Supersymmetry Transformations

• Supersymmetry and Lie Superalgebras

• Symmetry and Algebra in Physics

three-dimensional-oscillator

• Linear Harmonic Oscillator in One and Three Dimensions

three-dimensional-schrodinger-equation

• Three-Dimensional Free Particle, Box, Rigid Rotator, and Hydrogen Ground State

time-dilation

• Length Contraction and Time Dilation

time-evolution

• Energy-Eigenfunction Expansion and Time Evolution

torsional-pendulum

• Simple, Compound, and Torsional Pendulums

trapezoidal-rule

• Trapezoidal, Simpson, and Gaussian Quadrature

turing-test

• Talk on AI

two-dimensional-arrays

• One- and Two-Dimensional Arrays in Python

typecasting

• Python Types, Arithmetic, Precision, and Input-Output

uncertainty-principle

• Heisenberg Uncertainty Principle and Its Consequences

unit-i

• Coordinate Systems, Virtual Work, and D’Alembert’s Principle

• Electromagnetic Boundaries, Dielectric Waves, and Energy Flow

• Maxwell Equations, Displacement Current, and Potentials

• Newtonian Mechanics and Charged Particles in Uniform Fields

unit-ii

• Electromagnetic Waves in Conductors: Relaxation and Skin Depth

• Hamiltonian Dynamics and Mechanical Examples

• Lagrangian Dynamics and Applications

• Optical Fibres: Numerical Aperture, Index Profiles, and Modes

• Planar Dielectric Waveguides and Guided-Wave Power

• Plane Electromagnetic Waves in Vacuum and Dielectrics

• Reflection and Refraction at a Dielectric Interface

unit-iii

• Anisotropic Crystals, Double Refraction, and the Nicol Prism

• Canonical Transformations, Poisson Brackets, and Lagrange Brackets

• Linear, Circular, and Elliptical Polarization

• Optical Rotation: Biot’s Laws and Fresnel’s Theory

• Retardation Plates, Babinet Compensator, and Polarization Analysis

• Variational Principles, Constraints, and Least Action

variational-principles

• Variational Principles, Constraints, and Least Action

velocity-addition

• Simultaneity, Event Order, and Relativistic Velocity Addition

virtual-work

• Surface Tension, Contact Angle and Virtual Work

viscosity

• Viscosity and Poiseuille Flow

wave-packets

• Free Gaussian Wave Packet and Momentum Space

wave-particle-duality

• Matter Waves, Phase and Group Velocities, and Electron Diffraction

wave-plates

• Retardation Plates, Babinet Compensator, and Polarization Analysis

wavefunction

• Quantum Postulates, Wavefunctions, and Operators

wigner function

• Quantum Mechanics in Phase Space

wigner-function

• Quantum Information: Weigner Non-Gaussianity Measure

wigner-theorem

• Foundations of Symmetry in Quantum Theory

workflow

• How To Add Lecture Notes

writing

• How To Write In Markdown

yaml

• How To Edit Site Data

• How To Write YAML Front Matter

zero-point-energy

• Heisenberg Uncertainty Principle and Its Consequences

• Linear Harmonic Oscillator in One and Three Dimensions