On asymptotic expansions of twisted products
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Estrada Navas, Ricardo
Gracia Bondía, José M.
Várilly Boyle, Joseph C.
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Abstract
The series development of the quantum-mechanical twisted product is
studied. The series is shown to make sense as a moment asymptotic
expansion of the integral formula for the twisted product, either
pointwise or in the distributional sense depending on the nature of
the factors. A condition is given that ensures convergence and is
stronger than previously known results. Possible applications are
examined.
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Keywords
Moyal product, Asymptotic expansions, Quantum mechanics in phase space