✦ LIBER ✦
Charge form factors of nuclei in the alpha cluster model: E. V. Inopin. Physical-Technical Institute, Academy of Science Ukr. SSR, Kharkow, USSR, and V. S. Kinchakov, Polytechnical Institute, Khabarovsk, USSR and V. K. Lukyanov, Joint Institute for Nuclear Research, Dubna, USSR, and Yu. S. Pol', The Lebedev Physical Institute, Academy of Science USSR, Moscow, USSR
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 84 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0003-4916
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✦ 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.