Quantum mechanics (QM; also known as #quantum #physics, quantum theory, the wave mechanical model, or #matrixmechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

In this course you will get exposed to the following topics of Quantum Mechanics in details:

The Dirac delta function

Bound states, scattering states, and tunneling

Boundary conditions in the time independent Schrodinger equation

The bound state solution to the delta function potential TISE

Scattering state solutions to the delta function potential TISE

Finite square well bound states

Finite square well scattering states

Linear algebra introduction

Linear transformations

Eigenvectors and eigenvalues

Mathematical formalism in quantum mechanics

Hermitian operator eigen-stuff

Statistics in formalized quantum mechanics

Generalized uncertainty principle

Energy-time uncertainty

Dirac notation

Schrodinger equation in 3d

From the TISE in 3d to spherical harmonics

TISE in 3d radial behavior

Hydrogen atom radial wavefunctions

Hydrogen atom wavefunctions

Hydrogen spectrum

Angular momentum operator algebra

Angular momentum eigenfunctions

Spin in quantum mechanics

Spin 1/2

Spin 1/2 in a B-field

Angular momentum addition

Two particle systems

Exchange forces

Free electrons in conductors

Band structure of energy levels in solids

Quantum statistical mechanics



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Author: Brant Carlson
YouTube link: https://www.youtube.com/channel/UCNIEAv633WRg4ubBIhOcwMg
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