Results 71 to 80 of about 615 (177)
A natural basis of states for the noncommutative sphere and its Moyal bracket
, 1997 An infinite-dimensional algebra which is a nondecomposable reducible representation of su(2) is given. This algebra is defined with respect to two real parameters. If one of these parameters is zero, the algebra is the commutative algebra of functions on
J. Gratus, Gratus, J
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, 2023 This article describes a method for calculating higher order or nonadiabatic corrections in Born-Oppenheimer theory and its interaction with the translational degrees of freedom.
Rawlinson, Jonathan +2 more
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Moyal-Weyl Star-products as Quasiconformal Mappings
, 2006 The relation between the Moyal-Weyl deformation quantization and quasiconformal mappings of Riemann surfaces of complex analysis are shown by several examples.
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, 2006 : To generate gravitational terms in a curved noncommutative space-time, new Moyal-Weyl star product as well as Weyl ordering are defined.
M. Boussahel +3 more
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Weyl-Wigner-Groenewold-Moyal quantization and supersymmetric quantum mechanics
, 2003 In this thesis, basic ideas of the Weyl-Wigner-Groenewold-Moyal (WWGM) quanti zation axe reviewed and are used in generating Wigner functions of Landau levels. A generating function is introduced for the same purpose and by means of its inte grated forms,
Demircioğlu, Bengü
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ON FINITE NONCOMMUTATIVITY IN QUANTUM FIELD THEORY
, 2010 We consider various modifications of the Weyl–Moyal star-product, in order to obtain a finite range of nonlocality. The basic requirements are to preserve the commutation relations of the coordinates as well as the associativity of the new product.
MIKLOS LÅNGVIK, ALI ZAHABI
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Full twisted Poincaré symmetry and quantum field theory on Moyal-Weyl spaces
, 2007 : We explore some general consequences of a proper, full enforcement of the "twisted Poincare'" covariance of Chaichian et al. [14], Wess [50], Koch et al.
FIORE, GAETANO, J. WESS
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Produit de Moyal stochastique sur l'espace de Wiener
, 2004 5 pagesWe propose a stochastic extension of deformation quantization on a Hilbert space. The Moyal product is defined in this context on the space of functionals belonging to all of the Sobolev spaces of the Malliavin ...
Leandre, Remi, Dito, Giuseppe
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Spacetime noncommutativity with a bifermionic parameter
, 2008 We consider a Moyal plane and propose to make the noncommutativity parameter Theta(mu nu) bifermionic, i.e. composed of two fermionic (Grassmann odd) parameters. The Moyal product then contains a finite number of derivatives, which avoid the difficulties
Vasilevich, Dmitry +1 more
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Moyal-Weyl star product and quasiconformal mapping relationship
Journal of Physics: Conference Series, 2008 The deformation quantization procedure can introduce the quantum effect by including the deformation of complex structures on a bi-dimensional Riemann surface Σ without boundary. This is the platform of bi-dimensional conformal models like string theory and two-dimensional gravity.
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