Uniqueness results by covariance in covariant quantum mechanics
| Autoři | |
|---|---|
| Rok publikování | 2002 |
| Druh | Článek ve sborníku |
| Konference | Proceedings of the Second International Symposium on "Quantum Theory and Symmetries", eds. E. Kapuscik, A. Horzela |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Galilei spacetime; quantum mechanics; covariant operators |
| Popis | We show that the only requirement of general covariance essentially determines the quantum operators associated with a classical quantisable function and the Schr\"odinger operator. Our framework is the covariant quantum mechanics of a scalar quantum particle in a curved spacetime, which is fibred over absolute time and equipped with given spacelike metric, gravitational field and electromagnetic field. In particular, in the flat case, we recover the standard operators. |
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