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On the Semiclassical Propagator for Any One-Dimensional Admissible Potential

โœ Scribed by Shang-Wu Qian; Zhi-Yu Gu

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
465 KB
Volume
250
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

This paper shows that by choosing suitably the general fundamental invariant I=f (I 1 ) as a new canonical momentum, we can find the semiclassical propagator for any one-dimensional admissible potential, where I is a certain function of the fundamental invariant I 1 . We apply this method to the case of quartic potential and point out few applications of the propagator for this potential.

๐Ÿ“œ SIMILAR VOLUMES

On the semiclassical approximation for d
On the semiclassical approximation for double well potentials
โœ J.N.L. Connor ๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

Semiclassical connection formulae for n parabolic barrier nre used to derive a qunntization formu!n for the energy levels of an asymmetric double well oscillator. The connection with the phase integral approach to this problem is discussed.