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A Two-Particle System: Coupled Harmonic Oscillators

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Quantum Mechanics on the Macintosh®

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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© 1991 Springer Science+Business Media New York

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Brandt, S., Dahmen, H.D. (1991). A Two-Particle System: Coupled Harmonic Oscillators. In: Quantum Mechanics on the Macintosh®. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-25102-7_5

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  • DOI: https://doi.org/10.1007/978-3-662-25102-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-97627-1

  • Online ISBN: 978-3-662-25102-7

  • eBook Packages: Springer Book Archive

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