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A Two-Particle System: Coupled Harmonic Oscillators

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Interactive Quantum Mechanics

Abstract

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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Correspondence to Siegmund Brandt .

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Brandt, S., Dahmen, H.D., Stroh, T. (2011). A Two-Particle System: Coupled Harmonic Oscillators. In: Interactive Quantum Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7424-2_5

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  • DOI: https://doi.org/10.1007/978-1-4419-7424-2_5

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-7423-5

  • Online ISBN: 978-1-4419-7424-2

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