1. Inverse Weyl transform/operator
- Author
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Moochan B. Kim, J. S. Ben-Benjamin, and Leon Cohen
- Subjects
010308 nuclear & particles physics ,Applied Mathematics ,Operator theory ,Shift operator ,01 natural sciences ,Algebra ,symbols.namesake ,Elliptic operator ,Operator (computer programming) ,Ladder operator ,Multiplication operator ,ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ,0103 physical sciences ,symbols ,Weyl transformation ,Computer Science::Symbolic Computation ,Mathematics::Representation Theory ,010306 general physics ,Analysis ,Symbol of a differential operator ,Mathematics - Abstract
The Weyl procedure associates a function of two ordinary variables, called the c-function or symbol, with an operator, called the Weyl operator of the symbol. One generally formulates this association by defining the operator corresponding to a given symbol. In this paper we consider the reverse problem: Given the Weyl operator, what is the matching symbol? We give a number of explicit formulas for obtaining the symbol that would generate an arbitrary Weyl operator, and we illustrate each form with an example.
- Published
- 2017
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