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Classical Motion under a Morse Potential

✍ Scribed by SLATER, N. B.

Book ID
109593727
Publisher
Nature Publishing Group
Year
1957
Tongue
English
Weight
274 KB
Volume
180
Category
Article
ISSN
0028-0836

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πŸ“œ SIMILAR VOLUMES

Classical motion of a Morse oscillator
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Representation of one-dimensional motion
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A representation of the algebraic hamiltonian for the anlrnrmonic hlorse oscillator as a quadratic form, II= Am&l'\* + :O\*). where P and Q are operators is derived. The commutator ofP and Q is an operator that tends to i (times the identity operator) in the harmonic limit. Coherent states and anhar

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Potentials leading to identical motions in both classical and quantum theories are derived and some of their properties are briefly discussed. For such potentials the correspondence principle is exact and no chaotic motions are observed in this case.