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(undergraduate course)
Topics: Wave-particle duality. Uncertainty principle. Solutions to Schrödinger’s Equation in One Dimension: Transmission and Reflection at a Barrier; Tunneling; Potential Wells; Harmonic Oscillator; Free Particle. Formalism: Hilbert Space, Observables, Hermitian Operators. Schrödinger’s Equation in Three Dimensions: Hydrogen Atom. Angular Momentum and Spin.

Book: Introduction to Quantum Mechanics, by David J. Griffiths

LECTURES:

Lecture 01 (Chapter 1: probability, expectation value, Ehrenfest theorem, uncertainty principle)

Lecture 02 (Chapter 2, Sec.2.1: time-independent Schrödinger equation, stationary states)

Lecture 03a (Chapter 2, Sec.2.2: infinite square well)

Lecture 03b (Chapter 2, Sec.2.3.2: harmonic oscillator – analytic method)

Lecture 04 (Chapter 2, Sec. 2.3.1: harmonic oscillator – algebraic method)

Lecture 05 (Chapter 2, Sec. 2.4: free particle)

Lecture 06 (Chapter 2, Sec. 2.5: delta function)

Lecture 07 (Chapter 2, Sec. 2.6: finite square well)

Lecture 08 (Chapter 3: Formalism, Hilbert space, observables)

Lecture 09 (Chapter 3: Eigenvalues, eigenfunctions, generalized uncertainty principle)

Lecture 10 (Chapter 3: Dirac notation, position vs momentum representation)

Lecture 11 (Chapter 4: Quantum mechanics in 3D, spherical coordinates, radial and angular equations)

Lecture 12 (Chapter 4, Sec.4.3.1: Angular momentum)

Lecture 13 (Chapter 4, Sec.4.3.2: Angular momentum eigenfuctions)

Lecture 14 (Chapter 4, Sec.4.2: Hydrogen atom)

Lecture 15 (Chapter 4: Spin)

Lecture 16 (Chapter 4: Stern-Gerlach experiment)