Results 11 to 20 of about 615 (177)
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
doaj +6 more sources
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
openaire +5 more sources
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
openaire +2 more sources
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
openaire +3 more sources
Operator equations and Moyal products–metrics in quasi-Hermitian quantum mechanics [PDF]
Physics Letters B, 2006 The Moyal product is used to cast the equation for the metric of a non-hermitian Hamiltonian in the form of a differential equation. For Hamiltonians of the form $p^2+V(ix)$ with $V$ polynomial this is an exact equation. Solving this equation in perturbation theory recovers known results.
Scholtz F.G., Geyer H.B.
openaire +5 more sources
Asymptotic Behaviour of Determinants Through the Expansion of the Moyal Star Product
Communications in Mathematical PhysicsWe work out a generalization of the Szegö limit theorems on the determinant of large matrices. We focus on matrices with nonzero leading principal minors and elements that decay to zero exponentially fast with the distance from the main diagonal, but we relax the constraint of the Toeplitz structure. We obtain an expression for the asymptotic behaviour
Maurizio Fagotti, Vanja Marić
openaire +3 more sources
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
openaire +4 more sources
Isospectral Hamiltonians from Moyal products [PDF]
Czechoslovak Journal of Physics, 2006 10 pages, to appear special issue Czech.
Faria, C. F. D. M., Fring, A.
openaire +3 more sources
A product form for the general stochastic matching model
, 2021 International audienceAbstract We consider a stochastic matching model with a general compatibility graph, as introduced by Mairesse and Moyal (2016).
Moyal, Pascal +2 more
core +1 more source
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.
openaire +3 more sources