Functional integral and the Feynman-Kac formula in superspace
โ Scribed by D. V. Ktitarev
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 235 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
โฆ Synopsis
We consider the Cauchy problem for linear pseudodifferential equations in superspace. The solution is constructed in the form of series. It may be regarded as a definition of a chronological exponent of a pseudodifferential operator symbol and interpreted as a functional integral in superspace.
๐ SIMILAR VOLUMES
Coordinate transformations in the FEYNMAN-KAC formula areconsidered. The contractive semigroup with transformed coordinates is expressed by nn integral with n correspondingly transformed diffusion measure. This representation is used for N-body systems transformed to clustered JACOBI coordinates imp