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Quantum Mechanics: Course Outline

Quantum mechanics is the body of scientific laws that describe the wacky behavior of photons, electrons and the other particles that make up the universe

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Course Outline

  • Review of concepts of classical mechanics.
  • Generalized or "Good" coordinates, energy.
  • Hamiltonian, and angular momentum.
  • The state of a system.
  • Properties of the one-dimensional potential function.
  • Historical Review: Experiments And Theories: Dates.
  • The work of Planck. Blackbody radiation, The work of Einstein.
  • The photoelectric effect, Waves versus particles.
  • The work of Bohr. A quantum theory of atomic states.
  • The de Broglie Hypothesis and the Davisson-Germer Experiment.
  • The work of Heisenberg, Uncertainty as a Cornerstone of natural Law.
  • The work of born, Probability waves.
  • The Postulates Of Quantum Mechanics Operators: Eigen functions, and Eigen values.
  • Observables and operators, Measurement in quantum mechanics,
  • The state function and expectation values.
  • Time development of the state function.
  • Solution to the initial-value problem in quantum mechanics.
  • Preparatory Concepts Function Spaces and Hermitian: Operators.
  • Particle in a box and further remarks on normalization.
  • The Bohr correspondence principle.
  • Dirac notation, Hilbert space, Hermitian operators.
  • Properties of hermitian operators.
  • Superposition And Compatible Observables: The Superposition principle.
  • Commutator relations in quantum mechanics.
  • More on the commutator theorem.
  • Commutator relations and the uncertainty principle.
  • "Complete" Sets of commuting observables.
  • Time Development, Conservation Theorems, And Parity: Time development of state functions.
  • Time development of expectation values.
  • Conservation of energy, Linear and angular, Momentum, Conservation of parity.

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