Notes Inclusion of spin in wave function Including spin in the wave function is crucial in systems where particles possess intrinsic angular momentum, such as electrons, protons, and neutrons. Spin is a fundamental property of particles, …
Notes Magnetic Resonance We consider an electron with only spin degree of freedom in a region where a large static magnetic field Bo is along the z axis and a small oscillating field ...
Notes Clebsch - Gordan coefficients The Clebsch-Gordan coefficients are mathematical quantities used in quantum mechanics to determine the composition of angular momentum states in composite quantum systems. They play a crucial role in …
Notes Recursion relation To solve the radial part of the Schrödinger equation for a spherically symmetric potential, we often encounter the need to solve the angular part separately. This typically involves solving for ...
Notes The hydrogen atom A hydrogen atom consists of proton and electron. The electron is orbiting round the nucleus and the nucleus also in general is in motion. So we assign coordinates for both ...
Notes Angular momentum operator in spherical coordinates The angular momentum operator in quantum mechanics is a crucial observable that represents the rotational motion of a particle. In spherical coordinates (r,θ,ϕ), the ...
Notes Energy Eigen values and normalized eigen function of free particle with box normalization In order to find the energy eigen values and normalized eigen functions we apply the method of Box with periodic boundary conditions.Consider two wave functions 𝜓(x) and u(x). The ...
Notes Square well with finite potential A square well potential with finite depth refers to a common model in quantum mechanics where a particle is confined within a potential well that has a rectangular shape.Let ...
