Results 1 to 10 of about 5,506,438 (351)
Geometrical evaluation of star products [PDF]
Journal of Mathematical Physics, 2000 The geometric picture of the star product based on its Fourier representation kernel is utilized in the evaluation of chains of star products and the intuitive appreciation of their associativity and symmetries. Such constructions appear even simpler for a variant asymmetric product, and carry through for the standard star-product supersymmetrization.
Cosmas Zachos
openalex +6 more sources
Traces for Star Products*) [PDF]
Progress of Theoretical Physics Supplement, 2001 In this paper, I describe about a direct elementary proof of the existence of an essentially unique trace for an arbitrary star product on a symplectic manifold and about the construction of traces for some star products on the dual of a Lie algebra. The first topic is a joint work with J. Rawnsley and will appear in [J. Geom.
Simone Gutt
openalex +3 more sources
Star Product and Star Exponential [PDF]
, 2012 Here we extend the star products by means of complex symmetric matrices. In this way we obtain a family of star products. Next we consider the star exponentials with respect to these star products, and finally we obtain several interesting identities.
Tomihisa, Toshio, Yoshioka, Akira
openaire +5 more sources
Quantization via Star Products [PDF]
Progress of Theoretical Physics, 2003 We study quantization via star products. We investigate a quantization scheme in which a quantum theory is described entirely in terms of the function space without reference to a Hilbert space, unlike the formulation employing the Wigner functions. The associative law plays an essential role in excluding the unwanted solutions to the stargen-value ...
Takayuki Hori, T. Koikawa
openalex +4 more sources
Gauge theory of the star product [PDF]
Nuclear Physics B, 2007 The choice of a star product realization for noncommutative field theory can be regarded as a gauge choice in the space of all equivalent star products. With the goal of having a gauge invariant treatment, we develop tools, such as integration measures and covariant derivatives on this space.
A. Pinzul, A. Stern
openalex +4 more sources
, 2000 A formulation of anomalies in terms of star products is suggested which promises insight from an alternative and unifying point of view.
Hartmann Römer, Cornelius Paufler
openalex +4 more sources
Journal of Geometry and Physics, 2008 We relate the Bohr-Sommerfeld conditions established in microlocal analysis to formal deformation quantization of symplectic manifolds by classifying star products adapted to some Lagrangian submanifold L, i.e. products preserving the classical vanishing ideal I of L up to I-preserving equivalences.
Michael Carl
openalex +4 more sources
Star Product PIR Schemes with Colluding Servers over Small Fields [PDF]
arXiv.org, 2022 Private Information Retrieval (PIR) was first proposed by B. Chor, O. Goldreich, E. Kushilevitz and M. Sudan in their 1995 FOCS paper. For MDS coded distributed storage system private information retrieval was proposed and the capacity of PIR schemes for ...
Hao Chen
semanticscholar +1 more source
Spin tomography and star-product kernel for qubits and qutrits [PDF]
, 2009 Using the irreducible tensor-operator technique, we establish the relation between different forms of spin tomograms. Quantizer and dequantizer operators are presented in simple explicit forms and are specified for the low-spin states.
Sergey N. Filippov, V. I. Man’ko
openalex +2 more sources
Star product for deformed oscillator algebra Aq(2,ν) [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 An analogue of the Moyal star product is presented for the deformed oscillator algebra. It contains several homotopy-like additional integration parameters in the multiplication kernel generalizing the differential Moyal star product formula exp[iϵ αβ ...
A. Korybut
semanticscholar +1 more source