The Moyal representation of quantum mechanics and special function theory
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Várilly Boyle, Joseph C.
Gracia Bondía, José M.
Schempp, Walter
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Abstract
It is shown that the phase-space formulation of quantum mechanics is a rich source of special function identities. The Moyal formalism is reviewed for two phase spaces: the real plane and the sphere; and this is used to derive identities for Airy, Laguerre, Kummer and theta functions and for SU(2) rotation matrix elements, several of which are new.
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Keywords
Mecánica cuántica en espacios de fases, Funciones especiales, Special functions, Moyal quantum mechanics, Phase-space quantization, Holographic transform
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https://link.springer.com/article/10.1007/BF00049127