Phase space quantization via Wigner distributions and Moyal product for Taub and Kantowski-Sachs models recovers modified Bessel function wave functions without factor ordering ambiguities.
Canonical transformations in quantum mechanics
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abstract
This paper presents the general theory of canonical transformations of coordinates in quantum mechanics. First, the theory is developed in the formalism of phase space quantum mechanics. It is shown that by transforming a star-product, when passing to a new coordinate system, observables and states transform as in classical mechanics, i.e., by composing them with a transformation of coordinates. Then the developed formalism of coordinate transformations is transferred to a standard formulation of quantum mechanics. In addition, the developed theory is illustrated on examples of particular classes of quantum canonical transformations.
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gr-qc 1years
2026 1verdicts
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Phase space quantization of anisotropic cosmologies: Taub and Kantowski-Sachs models
Phase space quantization via Wigner distributions and Moyal product for Taub and Kantowski-Sachs models recovers modified Bessel function wave functions without factor ordering ambiguities.