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) Separation of variables and Schrodinger equation
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Classroom Contents
Quantum Physics - Quantum Mechanics Course
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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
