๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Infrared and high energy fixed angle domains of scattering and the role of eikonal approximation: H. Banerjee and S. K. Sharma, Saha Institute of Nuclear Physics, Calcutta-700009, India


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
84 KB
Volume
116
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES