Uniqueness results by covariance in covariant quantum mechanics

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Authors

JANYŠKA Josef MODUGNO Marco

Year of publication 2002
Type Article in Proceedings
Conference Proceedings of the Second International Symposium on "Quantum Theory and Symmetries", eds. E. Kapuscik, A. Horzela
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Galilei spacetime; quantum mechanics; covariant operators
Description 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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