Introduction to quantum mechanics

The domain of quantum mechanics

Key concepts of quantum mechanics

A review of complex numbers for QM

Examples of complex numbers

Probability in quantum mechanics

Variance of probability distribution

Normalization of wave function

Position, velocity and momentum from the wave function

Introduction to the uncertainty principle

Key concepts of QM - revisited

Separation of variables and Schrodinger equation

Stationary solutions to the Schrodinger equation

Superposition of stationary states

Potential function in the Schrodinger equation

Infinite square well (particle in a box)

Infinite square well states, orthogonality - Fourier series

Infinite square well example - computation and simulation

Quantum harmonic oscillators via ladder operators

Quantum harmonic oscillators via power series

Free particles and Schrodinger equation

Free particles wave packets and stationary states

Free particle wave packet example

The Dirac delta function

Boundary conditions in the time independent Schrodinger equation

The bound state solution to the delta function potential TISE

Scattering delta function potential

Finite square well scattering states

Linear algebra introduction for quantum mechanics

Linear transformation

Mathematical formalism is Quantum mechanics

Hermitian operator eigen-stuff

Statistics in formalized quantum mechanics

Generalized uncertainty principle

Energy time uncertainty

Schrodinger equation in 3d

Hydrogen spectrum

Angular momentum operator algebra

Angular momentum eigen function

Spin in quantum mechanics

Two particles system

Free electrons in conductors

Band structure of energy levels in solids

Academic Lesson

Quantum physics also known as Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all #quantum #physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.

In this course you will learn about Quantum #mechanics from the beginning to the end. The following topics of Quantum mechanics have been discussed in this course:

⭐️  Table of Contents ⭐️  
⌨️  (0:00:00) Introduction to quantum mechanics
⌨️  (0:16:23) The domain of quantum mechanics
⌨️  (0:24:18) Key concepts of quantum mechanics
⌨️  (0:34:04) A review of complex numbers for QM
⌨️  (0:48:12) Examples of complex numbers
⌨️  (1:01:47) Probability in quantum mechanics
⌨️  (1:12:17) Variance of probability distribution
⌨️  (1:26:16) Normalization of wave function
⌨️  (1:51:47) Position, velocity and momentum from the wave function
⌨️  (2:10:59) Introduction to the uncertainty principle
⌨️  (2:24:32) Key concepts of QM - revisited
⌨️  (2:37:45) Separation of variables and Schrodinger equation
⌨️  (3:09:55) Stationary solutions to the Schrodinger equation
⌨️  (3:15:47) Superposition of stationary states
⌨️  (3:25:37) Potential function in the Schrodinger equation
⌨️  (3:48:10) Infinite square well (particle in a box)
⌨️  (4:00:58) Infinite square well states, orthogonality - Fourier series
⌨️  (4:08:07) Infinite square well example - computation and simulation
⌨️  (4:39:27) Quantum harmonic oscillators via ladder operators
⌨️  (5:16:48) Quantum harmonic oscillators via power series
⌨️  (5:28:32) Free particles and Schrodinger equation
⌨️  (5:34:37) Free particles wave packets and stationary states
⌨️  (6:10:33) Free particle wave packet example
⌨️  (6:13:43) The Dirac delta function
⌨️  (6:20:49) Boundary conditions in the time independent Schrodinger equation
⌨️  (6:24:39) The bound state solution to the delta function potential TISE
⌨️  (6:43:29) Scattering delta function potential
⌨️  (6:55:49) Finite square well scattering states
⌨️  (7:07:39) Linear algebra introduction for quantum mechanics
⌨️  (7:10:34) Linear transformation
⌨️  (7:13:04) Mathematical formalism is Quantum mechanics
⌨️  (7:37:52) Hermitian operator  eigen-stuff
⌨️  (8:01:23) Statistics in formalized quantum mechanics
⌨️  (8:24:26) Generalized uncertainty principle
⌨️  (8:54:36) Energy time uncertainty
⌨️  (9:16:33) Schrodinger equation in 3d
⌨️  (9:19:56) Hydrogen spectrum
⌨️  (9:31:14) Angular momentum operator algebra
⌨️  (9:57:17) Angular momentum eigen function
⌨️  (10:18:08) Spin in quantum mechanics
⌨️  (10:22:23) Two particles system
⌨️  (10:58:03) Free electrons in conductors
⌨️  (11:09:23) Band structure of energy levels in solids

⭐️ Credit ⭐️
Course Author:  Brant Carlson
Website: https://www.youtube.com/channel/UCNIEAv633WRg4ubBIhOcwMg

⭐️ Join Us ⭐️
Join our FB Group: https://www.facebook.com/groups/cslesson
Like our FB Page: https://www.facebook.com/cslesson/​
Website: https://cslesson.org/

Quantum Physics Full Course | Quantum Mechanics Course

Quantum Physics Full Course | Quantum Mechanics Course

Quantum Physics Full Course | Quantum Mechanics Course

Get Full Course Access

Highly Recommended Courses

Explore top skills

In-demand Careers

Popular Topics

Creative Skills

Business Skills

Choose your learning path