Results 1 to 10 of about 6,466 (163)

Subalgebras with converging star products in deformation quantization: An algebraic construction for C P n [PDF]

Journal of Mathematical Physics, 1996
Based on a closed formula for a star product of Wick type on CPn, which has been discovered in an earlier article of the authors, we explicitly construct a subalgebra of the formal star algebra (with coefficients contained in the uniformly dense subspace of representative functions with respect to the canonical action of the unitary group) that ...
Bordemann, M., Brischle, M., Emmrich, C., Waldmann, S.   +3 more
openaire   +4 more sources

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.
L??andre, R., Obame Nguema, Maurice
openaire   +5 more sources

Weak associativity and deformation quantization

Nuclear Physics B, 2016
Non-commutativity and non-associativity are quite natural in string theory. For open strings it appears due to the presence of non-vanishing background two-form in the world volume of Dirichlet brane, while in closed string theory the flux ...
V.G. Kupriyanov
doaj   +1 more source

Identification of Berezin-Toeplitz deformation quantization [PDF]

, 2000
We give a complete identification of the deformation quantization which was obtained from the Berezin-Toeplitz quantization on an arbitrary compact Kaehler manifold.
A., A., A., A., A. V. Karabegov, B., Bayen F., Berceanu St., Bertelson M., Bordemann M., Bordemann M., Cahen M., Cahen M., Cahen M., Cahen M., Deligne P., F., Karabegov A. V., M. Schlichenmaier, Melin A., Moreno C., Nest R., Omori H., Wilde M. De   +23 more
core   +1 more source

Quasi-hermitian Quantum Mechanics in Phase Space [PDF]

, 2007
We investigate quasi-hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms.
Andrzej Veitia, Chari V., Neumann C. G., Thomas Curtright, Watson G. N.   +4 more
core   +2 more sources

Fedosov connections on jet bundles and deformation quantization [PDF]

, 2001
We review our construction of star-products on Poisson manifolds and discuss some examples. In particular, we work out the relation with Fedosov's original construction in the symplectic case.Comment: Contribution to the proceedings of the conference ...
Cattaneo, Alberto S., Felder, Giovanni, Tomassini, Lorenzo   +2 more
core   +2 more sources

Twist star products and Morita equivalence [PDF]

, 2017
We present a simple no-go theorem for the existence of a deformation quantization of a homogeneous space M induced by a Drinfel'd twist: we argue that equivariant line bundles on M with non-trivial Chern class and symplectic twist star products cannot ...
D'Andrea, Francesco, Weber, Thomas
core   +3 more sources

Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds [PDF]

, 2012
We develop quantization techniques for describing the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds M.
A Chatzistavrakidis, A Dabholkar, A Henriques, AI Nesterov, AS Cattaneo, AS Cattaneo, AS Cattaneo, B Jurčo, B Jurčo, B Jurčo, B Jurčo, B Jurčo, C Condeescu, C Hofman, C Hull, C Hull, C Hull, C Klimčík, D Andriot, D Andriot, D Lüst, D Roytenberg, D Roytenberg, D Roytenberg, Dionysios Mylonas, E Getzler, G Landi, I Ellwood, J Brodzki, J DeBellis, J DeBellis, J Shelton, JC Baez, JC Baez, L Cornalba, L Takhtajan, LJ Santharoubane, M Graña, M Herbst, M Herbst, M Kontsevich, MA Rieffel, MR Douglas, N Halmagyi, N Ikeda, N Ikeda, N Seiberg, O Hohm, P Aschieri, P Bouwknegt, P Bouwknegt, P Bouwknegt, P Grange, P Schaller, P Severa, P-M Ho, P-M Ho, Peter Schupp, R Blumenhagen, R Blumenhagen, R Jackiw, Richard J. Szabo, RJ Szabo, RJ Szabo, T Voronov, V Kathotia, V Mathai, Z-J Liu   +67 more
core   +1 more source

Cliffordization, Spin and Fermionic Star Products [PDF]

, 2004
Deformation quantization is a powerful tool for quantizing theories with bosonic and fermionic degrees of freedom. The star products involved generate the mathematical structures which have recently been used in attempts to analyze the algebraic ...
Agarwal, Allen C. Hirshfeld, Bayen, Berezin, Brouder, Carinena, Chevalley, Curtright, Demircioğlu, Dito, Drinfeld, Fauser, Fauser, Fauser, Fauser, Fedosov, Foldy, Gerstenhaber, Hestenes, Hirshfeld, Hirshfeld, Hirshfeld, Hirshfeld, Peter Henselder, Rota, Sakurai, Schwabl, Thomas Spernat, Varilly, Witten, Witten, Zachos   +31 more
core   +1 more source

Hochschild Homology and Cohomology of Klein Surfaces

Symmetry, Integrability and Geometry: Methods and Applications, 2008
Within the framework of deformation quantization, a first step towards the study of star-products is the calculation of Hochschild cohomology. The aim of this article is precisely to determine the Hochschild homology and cohomology in two cases of ...
Frédéric Butin
doaj   +1 more source