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Raising and Lowering Operators for Semiclassical Wave Packets

โœ Scribed by George A Hagedorn

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
406 KB
Volume
269
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

We construct raising and lowering operators for certain orthonormal bases of L 2 (R n ). These bases consist of quantum mechanical wave packets that can be used to develop asymptotic expansions for solutions to the time dependent Schro dinger equation in the semiclassical limit. With the knowledge of the raising and lowering operators, we simplify the construction of these bases and the proofs of their crucial properties. We also present simplified proofs of several results in semiclassical quantum mechanics.

๐Ÿ“œ SIMILAR VOLUMES

Time-dependent raising and lowering oper
Time-dependent raising and lowering operators for the ageing, forced and damped oscillator in quantum mechanics
โœ C.J. Ballhausen ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 352 KB

Raising and loweringoperators are constructed for the harmonic oscillator with a time-dependent force constant and for the damped and linearly forced oscillator. The demand that the total derivative [ ri(x, p, t), I?] +ifi a/at ri(x, p, t) of the time-dependent operator 6(x, p, t) and its Hermitian