# About the Course:

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 that describes nature at the smallest scales of energy levels of atoms and subatomic particles.

## Course Timings

Introduction to quantum mechanics (0:00)

The domain of quantum mechanics (16:21)

Key concepts in quantum mechanics (28:00)

A review of complex numbers (37:00)

Complex numbers examples (1:05:00)

Probability in quantum mechanics (1:18:00)

Probability distributions and their properties (1:29:00)

The variance of probability distributions (1:55:00)

Normalization of the wavefunction (2:9:00)

Position, velocity, and momentum from the wavefunction (2:37:00)

Introduction to the uncertainty principle (3:04:00)

Key concepts of QM revisited (3:17:00)

Separation of variables and the Schrodinger equation (3:31:00)

Stationary solutions to the Schrodinger equation (4:03:00)

Superposition of stationary states (4:23:00)

Potential functions in the Schrodinger equation (4:54:00)

Infinite square well (particle in a box) (5:16:00)

Infinite square well states, orthogonality and completeness (Fourier series) (5:37:00)

Infinite square well example computations and simulation

Quantum harmonic oscillator via ladder operators

Quantum harmonic oscillator via power series

Free particles and the Schrodinger equation

Free particle wave packets and stationary states

Free particle wave packet example

Copyrights: Geek's Lesson

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