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 an-tisymmetrization. Pauli principle. Bosons and Fermions. Normal oscillations.
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Further Reading
Alonso, Finn: Vol. 3, Chaps. 4
Brandt, Dahmen: Chaps. 4,5
Feynman, Leighton, Sands: Vol. 3, Chaps. 4
Gasiorowicz: Chap. 8 Merzbacher: Chap. 20 Messiah: Vol. 2, Chap. 14
Schiff: Chap. 10
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© 1994 Springer Science+Business Media New York
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Brandt, S., Dahmen, H.D. (1994). A Two-Particle System: Coupled Harmonic Oscillators. In: Quantum Mechanics on the Macintosh®. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-25104-1_5
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DOI: https://doi.org/10.1007/978-3-662-25104-1_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-94272-6
Online ISBN: 978-3-662-25104-1
eBook Packages: Springer Book Archive