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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.