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Representation of one-dimensional motion in a morse potential by a quadratic hamiltonian

โœ Scribed by R.D. Levine

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
363 KB
Volume
95
Category
Article
ISSN
0009-2614

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โœฆ Synopsis

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 anharmonic normal modes for a linear triatomic molecule are discussed as potential applications.

This section provides the necessary algebraic frame-* Work supporte'd by the Air Force Office of Scientific Research under Grant AFOSR 81-0030.

๐Ÿ“œ SIMILAR VOLUMES

Representations by Quadratic Forms in a
Representations by Quadratic Forms in a Finite Field of Characteristic Two
โœ John D. Fulton ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 392 KB

Let F be a finite field of cliaracteristic two and'let F'xm and FIXn denote vector spaces of m-tuples and n-tuples, respectively, over P. Let Q be a quadratic form of rank m defined on FIXm and let Q, be a quadratic form of rank n defined on F I X n . Then relative to given ordered bases for .FIXm a