MIT 8.04 Quantum Physics I, Spring 2016 (English) (Part 1)

   Friday, December 13, 2024   

Starting a new Lecture Notes Series on MIT 8.04 Quantum Physics I, Spring 2016

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MIT 8.04 Quantum Physics I, Spring 2016 By Lecture Notes together!

Lecture 1: Quantum mechanics as a framework. Defining linearity

Lecture 2: Linearity and nonlinear theories. Schrödinger's equation

Lecture 3: Necessity of complex numbers

Lecture 4: Photons and the loss of determinism

Lecture 5: The nature of superposition. Mach-Zehnder interferometer

Lecture 6: More on superposition. General state of a photon and spin states

Lecture 7: Entanglement

Lecture 8: Mach-Zehnder interferometers and beam splitters

Lecture 9: Interferometer and interference

Lecture 10: Elitzur-Vaidman bombs

Lecture 11: The photoelectric effect

Lecture 12: Units of h and Compton wavelength of particles

Lecture 13: Compton Scattering

Lecture 14: de Broglie’s proposal

Lecture 15: de Broglie wavelength in different frames

Lecture 16: Galilean transformation of ordinary waves

Lecture 17: The frequency of a matter wave

Lecture 18: Group velocity and stationary phase approximation

Lecture 19: Motion of a wave-packet

Lecture 20: The wave for a free particle

Lecture 21: Momentum operator, energy operator, and a differential equation

Lecture 22: Free Schrödinger equation

Lecture 23: The general Schrödinger equation. x, p commutator

Lecture 24: Commutators, matrices, and 3-dimensional Schrödinger equation

Lecture 25: Interpretation of the wavefunction

Lecture 26: Normalizable wavefunctions and the question of time evolution

Lecture 27: Is probability conserved? Hermiticity of the Hamiltonian

Lecture 28: Probability current and current conservation

Lecture 29: Three dimensional current and conservation

Lecture 30: Wavepackets and Fourier representation

Lecture 31: Reality condition in Fourier transforms

Lecture 32: Widths and uncertainties

Lecture 33: Shape changes in a wave

Lecture 34: Time evolution of a free particle wavepacket

Lecture 35: Fourier transforms and delta functions

Lecture 36: Parseval identity

Lecture 37: Three-dimensional Fourier transforms

Lecture 38: Expectation values of operators

Lecture 39: Time dependence of expectation values