Extended Weyl calculus and application to the phase-space Schrodinger equation
- We show that the Schrodinger equation in phase space proposed by Torres-Vega and Frederick is canonical in the sense that it is a natural consequence of the extended Weyl calculus obtained by letting the Heisenberg group act on functions (or half-densities) defined on phase space. This allows us, in passing, to solve rigorously the TF equation for all quadratic Hamiltonians
| Author details: | Maurice A. de GossonORCiDGND |
|---|---|
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2005 |
| Publication year: | 2005 |
| Release date: | 2017/03/24 |
| Source: | Journal of Physics / a. - 38 (2005), 19, S. L325 - L329 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
