Posts - Page 4 of 4
Stark Effect in Hydrogen Atom
In the hydrogen atom, the energy levels are determined by the principal quantum number \(n\), and for a given \(n\), the energy is given by:
Approximation Method
Perturbation theory is a powerful tool in quantum mechanics used to study systems where the Hamiltonian can be separated into a known part \(H_0\) and a small perturbation \(H'\). The goal is to find approximate solutions to the Schrödinger equation for the full Hamiltonian \(H = H_0 + H'\) by treating the perturbation as a small correction to the known system.
Scattering
Consider the Hamiltonian $H$ of the system, which is time-independent, given by
Derivations-QM: Current Density Conservation Equation
The Dirac equation for a free particle is given by:
LASER
``` Basic principles and different LASER’s: principles and working of Ruby Laser, He-Ne Laser, Solid state laser, semiconductor laser CO2 LASER and qualitative description of longitudinal and TE- LASER systems, Excimer LASER, Dye LASER, Roman LASER, Plasma recombination LASER.
Tutorial-QM
This tutorial covers Klein-Gordon and Dirac equations in quantum mechanics.
Relativistic Quantum Mechanics
Below is the outline of the lecture on Relativistic Quantum Mechanics, covering the Klein–Gordon equation, Dirac equation, probabilities and current densities, magnetic moment and spin of the electron, and free particle solutions of the Dirac equation.
Additional Resources
Science
1. What is Science?
JET: Lecture-II
JET: Lecture-I
KaTeX demo
Including mathematical notations in your post is possible thanks to KaTeX.
To add a math notation all you need to do is add $$ signs at the beginning and end of the notation.
An example for you guys,
Mermaid demo
Want to add diagrams, charts and visualizations in your post?
It is possible and guess what? It’s not that difficult thanks to Mermaid.
All you need to keep in mind is you’ll have to wrap your Mermaid markup in a div with class mermaid.
Here is a simple example of a basic flowchart,