✦ LIBER ✦
Absorber theory approach to the dynamic stark effect: D. T. Pegg, School of Science, Griffith University, Brisbane 4111, Australia
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 118 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
A semiclassical approximation of Feynman's path integral is derived which, in contradistinction to conventional formulae, remains finite in conjugate (focal) points and on caustics, exhibits the experimentally observed oscillatory behavior near these and reduces to familiar approximations far away. The approximative path integral is proportional to a generalized Airy integral governed by a Thorn catastrophe polynomial whose bifurcation properties correspond to those of the solutions of Euler-Lagrange equations. The result is illustrated by computing the propagator of the quantized anharmonic oscillator.