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.
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