Results 11 to 20 of about 2,610,775 (169)
Deformation Quantization by Moyal Star-Product and Stratonovich Chaos [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.
Rémi Léandre, Maurice Obame Nguema
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On the Moyal Star Product of Resurgent Series [PDF]
Annales de l'Institut Fourier, 2023 We analyze the Moyal star product in deformation quantization from the resurgence theory perspective. By putting algebraic conditions on Borel transforms, one can define the space of “algebro-resurgent series” (a subspace of 1 -Gevrey formal series ...
Li, Yong, Sauzin, David, Sun, Shanzhong
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QFT with twisted Poincaré invariance and the Moyal product [PDF]
Journal of High Energy Physics, 2007 We study the consequences of twisting the Poincare invariance in a quantum field theory. First, we construct a Fock space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a covariant field linear in creation and annihilation operators does not exist. Relaxing the linearity condition, a covariant
Joung, E., Mourad, J.
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Moyal Product and Representations of Solvable Lie Groups
Journal of Functional Analysis, 1995 Let \(G = \text{exp}({\mathfrak g})\) be a simply connected connected solvable Lie group with Lie algebra \(\mathfrak g\). Let \({\mathcal O} = \text{Ad}^*(G)l\) be a coadjoint orbit of \(G\). Such an orbit is not simply connected in general. Pukanszky has given an explicit description of its universal covering \({\mathcal O}_0 = G/G(l)_0\), where \(G ...
Arnal, D, Cortet, J.C, Ludwig, J
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A Moyal type product on Hermitian symmetric spaces
Bulletin de la Classe des sciences, 1991 We suggest a construction of a Moyal type * product on Hermitian symmetric spaces ; this construction is motivated by what happens for coadjoint orbits of the Heisenberg group.
Arnal, Daniel +3 more
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Moyal product and generalized Hom-Lie-Virasoro symmetries in Bloch electron systems
Nuclear Physics BLatex, 35 ...
Sato, Haru-Tada
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Journal of Pseudo-Differential Operators and ApplicationsAbstract Bopp shifts, introduced in 1956, played a pivotal role in the statistical interpretation of quantum mechanics. As demonstrated in our previous work, Bopp’s construction provides a phase-space perspective of quantum mechanics that is closely connected to the Moyal star product and its role in deformation quantization.
de Gosson, Maurice
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q -deformed star products and Moyal brackets [PDF]
Journal of Mathematical Physics, 1998 The standard and antistandard ordered operators acting on two-dimensional q-deformed phase space are shown to satisfy algebras which can be called q−W∞. q-star products and q-Moyal brackets corresponding to these algebras are constructed. Some applications like defining q-classical mechanics and q-path integrals are discussed.
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A remark on polar noncommutativity
Physics Letters B, 2015 Noncommutative space has been found to be of use in a number of different contexts. In particular, one may use noncommutative spacetime to generate quantised gravity theories.
Andrew Iskauskas
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On Hansen’s Version of Spectral Theory and the Moyal Product
Publications of the Research Institute for Mathematical Sciences, 2010 The paper under review deals with the problem of a rigourous treatment of the Weyl quantization and the Moyal product. The main difficulty of extending the definition of the Moyal product from functions on \(L^2(E)\), \(E=\mathbb{R}^d\), to tempered distributions on \({\mathcal S}(\mathbb R^{2d})\), where in order to simplify the notation, \(d=1 ...
Hennings, Mark A., Dubin, Daniel A.
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