A Two-Particle System: Coupled Harmonic Oscillators
Wave function of two distinguishable particles. Hamiltonian of two coupled oscillators. Separation of center-of-mass and relative coordinates. Stationary two-particle wave functions and eigenvalues. Initial Gaussian wave packet for distinguishable particles. Time-evolution of the Gaussian wave packet. Marginal distributions. Wave functions for distinguishable particles. Symmetrization and antisymmetrization. Pauli principle. Bosons and Fermions. Normal oscillations.
KeywordsMarginal Distribution Couple Oscillator Gaussian Wave Packet Initial Correlation Distinguishable Particle
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