Exponential Formulas, Normal Ordering and the Weyl-Heisenberg Algebra
نویسندگان
چکیده
We consider a class of exponentials in the Weyl-Heisenberg algebra with exponents type at most linear coordinates and arbitrary functions momenta. They are expressed terms normal ordering where stand to left from Exponents appearing ordered form satisfy differential equations boundary conditions that could be solved perturbatively order by order. Two propositions presented for 2 dimensions their generalizations higher dimensions. These results can applied noncommutative spaces construction star products, coproducts momenta twist operators. also related BCH formula.
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ژورنال
عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications
سال: 2021
ISSN: ['1815-0659']
DOI: https://doi.org/10.3842/sigma.2021.084