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math-ph2026★ 224 cited
Algebras of distributions suitable for phase-space quantum mechanics. I
José M. Gracia-Bondía, Joseph C. Várilly
The twisted product of functions on is extended to a -algebra of tempered distributions which contains the rapidly decreasing smooth functions, the distributions of com…
math-ph2009★ 14 cited
Star-product in the presence of a monopole
J. F. Carinena, J. M. Gracia-Bondia, Fedele Lizzi +2
We present a deformed star-product for a particle in the presence of a magnetic monopole. The product is obtained within a self-dual quantization-dequantization scheme, with the co…