Abstract
AbstractThe Maslov correction to the wave function is the jump of $$ \left( { - \frac{\pi } {2}} \right) $$ in the phase when the system passes through a caustic. This can be explained by studying the second variation and the geometry of paths, as conveniently seen in Feynman’s path integral framework. The results can be extended to any system using the semiclassical approximation. The 1-dimensional harmonic oscillator is used to illustrate the different derivations reviewed here.
Subject
General Physics and Astronomy
Reference42 articles.
1. M. Gouy, Comptes rendus hebdomadaires des séances de l’Académie des Sciences 110, 1251 (1890)
2. J.B. Keller, Ann. Phys. 4, 180 (1958)
3. V.P. Maslov, Asymptotic methods in the calculus of perturbations (MGU, Moscow, 1965) (in Russian)
4. V.I. Arnold, Funktional’nyi Analiz i Ego Prilozheniya 1, 1 (1967) (in Russian)
5. J.-M. Souriau, Lec. Notes Phys. 50, 117 (1976)
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献