Zobrazeno 1 - 10
of 175
pro vyhledávání: '"Moyal bracket"'
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Autor:
Maurice A. de Gosson, Franz Luef
Publikováno v:
Quantum Reports
Volume 1
Issue 1
Pages 8-81
Volume 1
Issue 1
Pages 8-81
The usual Poisson bracket { A , B } can be identified with the so-called Moyal bracket { A , B } M for larger classes of symbols than was previously thought, provided that one uses the Born&ndash
Jordan quantization rule instead of the better kn
Jordan quantization rule instead of the better kn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cde1e8f4f27b4d3436a5e1e54e89ee0
https://doi.org/10.3390/quantum1010008
https://doi.org/10.3390/quantum1010008
Autor:
Pankaj Sharan
Publikováno v:
SpringerBriefs in Physics ISBN: 9783030604172
Star-product, \((f*g)(q,p)\) of two functions f(q, p) and g(q, p) on the phase space is a non-commutative product corresponding to the Hilbert space product \(\hat{f}\hat{g}\) of operators \(\hat{f}\) and \(\hat{g}\). The quantum theory can be develo
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https://explore.openaire.eu/search/publication?articleId=doi_________::96c9c643204a83eaa3ebbf94ce703239
https://doi.org/10.1007/978-3-030-60418-9_4
https://doi.org/10.1007/978-3-030-60418-9_4
Autor:
Jean-Christophe Wallet, Nicolas Franco
Publikováno v:
Noncommutative Geometry and Optimal Transport. :147-173
Metrics structures stemming from the Connes distance promote Moyal planes to the status of quantum metric spaces. We discuss this aspect in the light of recent developments, emphasizing the role of Moyal planes as representative examples of a recentl
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af38bd1c5d4d255c87661096a5e7cca3
https://doi.org/10.1090/conm/676/13610
https://doi.org/10.1090/conm/676/13610
Autor:
B. J. Hiley
Publikováno v:
Journal of Computational Electronics. 14:869-878
In this paper we discuss the close relationship between the Wigner---Moyal algebra and the original non-commutative quantum algebra introduced by von Neumann in 1931. We show that the "distribution function", F(P, X, t) is simply the quantum mechanic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6559affa0063b81d74489f68d76abed1
https://doi.org/10.1007/s10825-015-0728-7
https://doi.org/10.1007/s10825-015-0728-7
Autor:
V. Gil, L. L. Salcedo
Publikováno v:
Physical Review A. 95
We study compound systems with a classical sector and a quantum sector. Among other consistency conditions we require a canonical structure, that is, a Lie bracket for the dynamical evolution of hybrid observables in the Heisenberg picture, interpola
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24acb8edde7d1aecdd29484df997a32c
https://doi.org/10.1103/physreva.95.012137
https://doi.org/10.1103/physreva.95.012137
Autor:
Harald Grosse, Raimar Wulkenhaar
Publikováno v:
Fortschritte der Physik. 62:797-811
We summarize our recent construction of the phi^4-model on four-dimensional Moyal space. This is achieved by solving the quartic matrix model for a general external matrix in terms of the solution of a non-linear equation for the 2-point function and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8127a6fcbf342214939671f04e865cc5
https://doi.org/10.1002/prop.201400020
https://doi.org/10.1002/prop.201400020
Akademický článek
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Autor:
M. A. Soloviev
Publikováno v:
Theoretical and Mathematical Physics. 173:1359-1376
We show that the Weyl correspondence and the concept of a Moyal multiplier can be naturally extended to generalized function classes that are larger than the class of tempered distributions. This generalization is motivated by possible applications t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2da31184f72c7dbeaddf7d6138e39a2
https://doi.org/10.1007/s11232-012-0119-1
https://doi.org/10.1007/s11232-012-0119-1
Autor:
Byung-Jay Kahng
Publikováno v:
Journal of Geometry and Physics. 61:2081-2097
Beginning with a skew-symmetric matrix, we define a certain Poisson–Lie group. Its Poisson bracket can be viewed as a cocycle perturbation of the linear (or “Lie–Poisson”) Poisson bracket. By analyzing this Poisson structure, we gather enough
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4488d9d23789d6869ce094013687f646
https://doi.org/10.1016/j.geomphys.2011.06.010
https://doi.org/10.1016/j.geomphys.2011.06.010