Star product for deformed oscillator algebra Aq(2, ν)
Keyword(s):
Abstract An analogue of the Moyal star product is presented for the deformed oscillator algebra. It contains several homotopy-like additional integration parameters in the multiplication kernel generalizing the differential Moyal star-product formula exp[iεαβ ∂α∂β]. Using Pochhammer formula [1], integration over these parameters is carried over a Riemann surface associated with the expression of the type zx(1 − z)y where x and y are arbitrary real numbers.
2014 ◽
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pp. 1450028
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pp. 1250114
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2000 ◽
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1995 ◽
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