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This is the first semester of a two-semester graduate-level subject on quantum theory, stressing principles.

0

3

English

English [CC]

FREE

Description

Quantum theory explains the nature and behavior of matter and energy on the atomic and subatomic level. Topics include Fundamental Concepts, Quantum Dynamics, Composite Systems, Symmetries in Quantum Mechanics, and Approximation Methods.

Course content

  • A “Weird” Example in Quantum Mechanics, Unlimited
  • Inner Products Unlimited
  • More on Matrix Representations Unlimited
  • Spin-1/2 Systems Unlimited
  • The Position Operator, Unlimited
  • Solving Problems in Convenient Bases Unlimited
  • Spin Precession in a Magnetic Field Unlimited
  • General Time Dependent Hamiltonians, Interaction Picture Unlimited
  • Spin-1/2 in an AC Field Unlimited
  • Path Integral Formulation of Quantum Mechanics Unlimited
  • Path Integrals Unlimited
  • Stationary Phase Approximation Unlimited
  • Aharonov–Bohm Effect, Magnetic Monopoles Unlimited
  • QM of a Charged Particle Moving in a Magnetic Monopole Field Unlimited
  • Charged Particle in a Uniform Magnetic Field, Quantum Entanglement Unlimited
  • Symmetry Transformations Unlimited
  • Eigen system of Angular Momentum Unlimited
  • Matrix Elements of Angular Momentum Operators, Rotation Groups Unlimited
  • SO (3) versus SU (2), Addition of Angular Momentum, Discrete Symmetries Unlimited
  • Some Standard Terminology Unlimited
  • Consequences of Time Reversal Symmetry, Unlimited
  • Non-degenerate Time-Independent Perturbation Theory Unlimited
  • Degenerate Perturbation Theory Unlimited
  • Harmonic Perturbations, The Photoelectric Effect Unlimited

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Instructor

Massachusetts Institute of Technology
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