Transcription of 9. Harmonic Oscillator - MIT OpenCourseWare
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9. Harmonic Oscillator Harmonic Oscillator Classical Harmonic Oscillator and model Oscillator Hamiltonian: Position and momentum operators Position representation Heisenberg picture Schro dinger picture Uncertainty relationships Coherent States Expansion in terms of number states Non-Orthogonality Uncertainty relationships X-representation Phonons Harmonic Oscillator model for a crystal Phonons as normal modes of the lattice vibration Thermal energy density and Specific Heat Harmonic Oscillator We have considered up to this moment only systems with a finite number of energy levels; we are now going to consider a system with an infinite number of energy levels: the quantum Harmonic Oscillator ( ).
9. Harmonic Oscillator 9.1 Harmonic Oscillator 9.1.1 Classical harmonic oscillator and h.o. model 9.1.2 Oscillator Hamiltonian: Position and momentum operators
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