Covariant Schroedinger operator
| Authors | |
|---|---|
| Year of publication | 2002 |
| Type | Article in Periodical |
| Magazine / Source | J. Phys. A: Math. Gen. |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Schoedinger operator; general covariance; quantum mechanics |
| Description | 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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