On quantization and point canonical transformations in phase-space functional integrals
✍ Scribed by F. Langouche; D. Roekaerts; E. Tirapegui
- Book ID
- 112844178
- Publisher
- Società Italiana di Fisica
- Year
- 1980
- Weight
- 251 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0375-930X
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📜 SIMILAR VOLUMES
We consider the canonical quantization (Schro dinger representation) on a doubly connected space 0 R #R 2 "[(x , y) | x 2 + y 2 R 2 ] (R>0). We show that, when we employ 2-dimensional orthogonal coordinates Ox 1 x 2 , there are uncountably many different self-adjoint extensions p U j of p j # &i  x
The classical evolution in time of a point in phase space associated with a Hamiltonian is given by a canonical transformation. In the configuration space of quantum mechanics the corresponding evolution is determined by the time-dependent Green function. Using the latter to obtain the appropriate W