On asymptotic expansions of twisted products. (English) Zbl 0691.46056
Summary: 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 dependent on the nature of the factors. A condition is given that ensures convergence and is stronger than previously known results. Possible applications are examined.
MSC:
| 46N99 | Miscellaneous applications of functional analysis |
| 81S05 | Commutation relations and statistics as related to quantum mechanics (general) |
| 46F10 | Operations with distributions and generalized functions |
Keywords:
series development of the quantum-mechanical twisted product; moment asymptotic expansion of the integral formula for the twisted productReferences:
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