Results 21 to 30 of about 615 (177)
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.
openaire +3 more sources
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
doaj +1 more source
Producto de Groenewold-von Neumann mediante una transformada de Segal-Bargmann
Revista Integración, 2015 Usando técnicas de cuantización geométrica, obtenemos el producto de funciones en R2, primeramente introducido por von Neumann y posteriormente reintroducido por Groenewold, el cual es la versión integral del producto de Moyal-Weyl.
John B. Moreno
doaj +1 more source
Late time acceleration in a non-commutative model of modified cosmology
Physics Letters B, 2014 We investigate the effects of non-commutativity between the position–position, position–momentum and momentum–momentum of a phase space corresponding to a modified cosmological model.
B. Malekolkalami, K. Atazadeh, B. Vakili
doaj +1 more source
A GENERAL FORMULATION OF THE MOYAL AND VOROS PRODUCTS AND ITS PHYSICAL INTERPRETATION [PDF]
Modern Physics Letters A, 2012 A unifying perspective on the Moyal and Voros products and their physical meanings has been recently presented in the literature, where the Voros formulation admits a consistent physical interpretation. We define a star product ⋆, in terms of an antisymmetric fixed matrix Θ, and an arbitrary symmetric matrix Φ, that is a generalization of the Moyal ...
Gouba, Laure +2 more
openaire +3 more sources
Moyal products—a new perspective on quasi-Hermitian quantum mechanics [PDF]
Journal of Physics A: Mathematical and General, 2006 The rationale for introducing non-hermitian Hamiltonians and other observables is reviewed and open issues identified. We present a new approach based on Moyal products to compute the metric for quasi-hermitian systems. This approach is not only an efficient method of computation, but also suggests a new perspective on quasi-hermitian quantum mechanics
Scholtz, FG, Geyer, HB
openaire +2 more sources
Twisted noncommutative field theory with the Wick-Voros and Moyal products [PDF]
Physical Review D, 2008 This is the merging of two previous postings: arXiv:0807.1492 and arXiv:0807 ...
GALLUCCIO, salvatore +2 more
openaire +3 more sources
Moyal star product approach to the Bohr-Sommerfeld approximation [PDF]
Journal of Physics A: Mathematical and General, 2004 The Bohr-Sommerfeld approximation to the eigenvalues of a one-dimensional quantum Hamiltonian is derived through order $\hbar^2$ (i.e., including the first correction term beyond the usual result) by means of the Moyal star product. The Hamiltonian need only have a Weyl transform (or symbol) that is a power series in $\hbar$, starting with $\hbar^0 ...
Cargo, Matthew +4 more
openaire +4 more sources
Matter Chern Simons theories in a background magnetic field
Journal of High Energy Physics, 2019 We study large N 2+1 dimensional fermions in the fundamental representation of an SU(N) k Chern Simons gauge group in the presence of a uniform background magnetic field for the U (1) global symmetry of this theory.
Indranil Halder, Shiraz Minwalla
doaj +1 more source
Moyal brackets, star products and the generalised Wigner function [PDF]
Chaos, Solitons & Fractals, 1999 The Wigner-Weyl- Moyal approach to Quantum Mechanics is recalled, and similarities to classical probability theory emphasised. The Wigner distribution function is generalised and viewed as a construction of a bosonic object, a target space co-ordinate, for example, in terms of a bilinear convolution of two fermionic objects, e.g. a quark antiquark pair.
openaire +3 more sources