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1
) Introduction to quantum mechanics
2
) The domain of quantum mechanics
3
) Key concepts of quantum mechanics
4
) A review of complex numbers for QM
5
) Examples of complex numbers
6
) Probability in quantum mechanics
7
) Variance of probability distribution
8
) Normalization of wave function
9
) Position, velocity and momentum from the wave function
10
) Introduction to the uncertainty principle
11
) Key concepts of QM - revisited
12
) Separation of variables and Schrodinger equation
13
) Stationary solutions to the Schrodinger equation
14
) Superposition of stationary states
15
) Potential function in the Schrodinger equation
16
) Infinite square well (particle in a box)
17
) Infinite square well states, orthogonality - Fourier series
18
) Infinite square well example - computation and simulation
19
) Quantum harmonic oscillators via ladder operators
20
) Quantum harmonic oscillators via power series
21
) Free particles and Schrodinger equation
22
) Free particles wave packets and stationary states
23
) Free particle wave packet example
24
) The Dirac delta function
25
) Boundary conditions in the time independent Schrodinger equation
26
) The bound state solution to the delta function potential TISE
27
) Scattering delta function potential
28
) Finite square well scattering states
29
) Linear algebra introduction for quantum mechanics
30
) Linear transformation
31
) Mathematical formalism is Quantum mechanics
32
) Hermitian operator eigen-stuff
33
) Statistics in formalized quantum mechanics
34
) Generalized uncertainty principle
35
) Energy time uncertainty
36
) Schrodinger equation in 3d
37
) Hydrogen spectrum
38
) Angular momentum operator algebra
39
) Angular momentum eigen function
40
) Spin in quantum mechanics
41
) Two particles system
42
) Free electrons in conductors
43
) Band structure of energy levels in solids
Description:
Embark on a comprehensive journey through quantum physics with this extensive 11-hour course. Delve into the fundamental theory that describes nature at the atomic and subatomic scale, exploring key concepts from probability and wave functions to the Schrödinger equation and quantum harmonic oscillators. Master complex topics such as angular momentum, spin, and band structure in solids. Through detailed explanations and examples, gain a deep understanding of quantum mechanics principles, their mathematical formalism, and real-world applications. Ideal for students and enthusiasts seeking a thorough grounding in this fascinating field of physics.

Quantum Physics - Quantum Mechanics Course

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) Introduction to quantum mechanics