Informace o publikaci
Covariant Schroedinger operator
| Autoři | |
|---|---|
| Rok publikování | 2002 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | J. Phys. A: Math. Gen. |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Schoedinger operator; general covariance; quantum mechanics |
| Popis | We analyse the Schroedinger operator for a quantum scalar particle in a curved spacetime which is fibred over absolute time and is equipped with given spacelike metric, gravitational field and electromagnetic field. We approach the Schroedinger operator by three independent ways: in terms of covariant differentials induced by the quantum connection, via a quantum Lagrangian and directly by the only requirement of general covariance. In particular, in the flat case, our Schroedinger operator coincides with the standard one. |
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