The quantizer–dequantizer method allows us to construct associative products on any measure space. In this paper, we consider an inverse problem: given an associative product is it possible to realize it within the quantizer–dequantizer framework? The answer is positive in finite dimensions and we give a few examples in infinite dimensions.
Realization of associative products in terms of Moyal and tomographic symbols / A., Ibort; V. I., Man'Ko; Marmo, Giuseppe; A., Simoni; C., Stornaiolo; Ventriglia, Franco. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - 87:3(2013), pp. 038107-1-038107-6. [10.1088/0031-8949/87/03/038107]
Realization of associative products in terms of Moyal and tomographic symbols
MARMO, GIUSEPPE;VENTRIGLIA, FRANCO
2013
Abstract
The quantizer–dequantizer method allows us to construct associative products on any measure space. In this paper, we consider an inverse problem: given an associative product is it possible to realize it within the quantizer–dequantizer framework? The answer is positive in finite dimensions and we give a few examples in infinite dimensions.File in questo prodotto:
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