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Semiclassical calculation of bound states of a multidimensional system

Eastes, Walter and Marcus, R. A. (1974) Semiclassical calculation of bound states of a multidimensional system. Journal of Chemical Physics, 61 (10). pp. 4301-4306. ISSN 0021-9606. doi:10.1063/1.1681734.

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The semiclassical quantum conditions for bound states are studied for a nonseparable system of two coupled oscillators which possesses a collection of quasiperiodic trajectories. The semiclassical energy levels are found to be in excellent agreement with the exact quantum levels. This treatment differs from previous work in that periodic trajectories are not needed and in that the potential surface is smooth and nonseparable in all regions.

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Marcus, R. A.0000-0001-6547-1469
Additional Information:©1974 American Institute of Physics. Received 20 June 1974. This research was supported by the U. S. Army Munitions Command, Picatinny Arsenal, Dover, NJ, and in part by a grant from the National Science Foundation.
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Army Munitions Command, Picatinny Arsenal, Dover, NJUNSPECIFIED
National Science FoundationUNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:EASjcp74
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11163
Deposited By: Archive Administrator
Deposited On:21 Jul 2008 21:34
Last Modified:08 Nov 2021 21:33

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