WKB-type expansion for Langevin equations: II. Covariant expansion

✍ Scribed by F. Langouche; D. Roekaerts; E. Tirapegui

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 453 KB
• Volume: 108
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(81)90176-x

✦ Synopsis

We show how to compute in a covariant way the WKB-type expansion for the transition probability density of the Markovian processes generated by general multiplicative noise Langevin equations. The method uses phase space functional integrals and normal coordinates around the classical path. We compare with our earlier non-covariant methods and compute explicitly the first order correction to the WKB-approximation.