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The Harmonic Oscillator I
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Quantum Mechanics I (P303
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Time Evolution of States
Contents
Important Quantum Mechanical Model Systems
Subsections
The Harmonic Oscillator I
Model
Solution of the Differential Equation
The Harmonic Oscillator II
The Hilbert space of wave functions
Infinite Well Hilbert Space
Harmonic Oscillator Hilbert Space
Harmonic Oscillator: Parity
Infinite Well: Parity
Discussion: Energy Eigenvalues
Harmonic Oscillator Energies
Infinite Well Energies
Harmonic Oscillator: Expectation Values
Ladder Operators, Phonons and Photons
The Ladder Operators
and
The Harmonic Oscillator
Phonons and Photons
The Hydrogen Atom
Spherical Symmetric Potentials in 3 Dimensions
The Potential
Polar Coordinates
The Angular Part
The Radial Part
The Angular Momentum
Definitions
Tobias Brandes 2004-02-04
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