Posts
Resistors
Resistors: Types, Characteristics, and Colour Coding
Frame Of Reference
In the study of scattering theory, nuclear reactions, and collision processes, the distinction between the Laboratory (Lab) reference frame and the Centre-of-Mass (CM) reference frame plays a central role. These two frames provide different perspectives for describing the motion, momentum transfer, and angular distribution of interacting particles. Since observations in an experiment are made in the laboratory frame, but theoretical simplicity often arises in the centre-of-mass frame, understanding the transformation between these two coordinate systems becomes essential.
Alpha Scattering
Alpha (α) scattering refers to the interaction of alpha particles—helium nuclei consisting of two protons and two neutrons—with atomic nuclei or atoms. The study of α-scattering has played one of the most pivotal roles in the development of modern physics. Historically, Rutherford’s α-scattering experiments in 1909 led to the discovery of the atomic nucleus and gave rise to the planetary model of the atom. These experiments showed that most α-particles pass through thin metal foils with little deflection, while a very small fraction undergo large-angle scattering, revealing the presence of a compact and massive nucleus.
3D Collision
The theory of collision in three dimensions is a fundamental aspect of quantum scattering, describing how a particle interacts with a potential when motion is not restricted to a single line but occurs in full three-dimensional space. Unlike one-dimensional scattering, where the particle approaches the potential from the left or right, three-dimensional collisions require the description of wave propagation in spherical geometry. This approach is crucial in understanding atomic, nuclear, and molecular processes where interactions occur isotropically.
Molecular Spectra
Rotational, Vibrational and Electronic Spectra of Diatomic Molecules
JET - Physical Science
These topics will be covered here, and the reading materials can be accessed by clicking on the hyperlinks.
MSC Sem-II
These topics will be covered here, and the reading materials can be accessed by clicking on the hyperlinks.
Practical Question: Python
Numerical Methods Problem Set
Learning Objectives:
- Review all built-in, NumPy, and math functions used across typical numerical methods problems given at the end of this page.
- Understand and apply key numerical methods including root finding, interpolation, curve fitting, numerical integration, and solving ODEs.
- Practice basic numerical algorithms using Python.
Interaction of Solids with EM Field
Learning Objectives:
Polarons
In solid-state physics, polarons are quasiparticles formed due to the interaction of an electron (or hole) with the phonons (quantized lattice vibrations) in an ionic crystal. This interaction leads to a modification of the electron’s motion, as it becomes “dressed” with a polarization cloud of lattice distortion.
Polaritons
In solid-state physics, polaritons are quasiparticles arising from the strong coupling of photons with optical phonons in a crystal. These coupled modes play a central role in understanding the optical properties of ionic crystals, particularly in the infrared frequency range.
Tight-Binding Approximation
Nearly Free Electron Model and Energy Bands in One Dimension, Tight-Binding Approximation
Small Oscillations
Small Oscillations, Normal Modes of Vibration, Coupled Oscillators
Poisson Bracket, Poisson Theorems
Learning Objectives:
Plasma Oscillations and Plasmons
Learning Objectives:
Hamilton–Jacobi Equation
Hamilton–Jacobi Equation with Example of Harmonic Oscillator
Generating Function
Learning Objectives: