Deformation quantization on a Hilbert space
Giuseppe Dito
Abstract
We study deformation quantization on an infinite-dimensional Hilbert space W endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made explicit and it is shown that it is well defined on a subalgebra of C∞(W). A classification of inequivalent deformation quantizations of exponential type, containing the Moyal and normal star-products, is also given.
Create a lesson
Related papers
The Haagerup VOA at c=8
Andrew Riesen
Haar measure for totally positive split real semisimple quantum groups of classical type
Kenny De Commer, Geoffrey Janssens, Wannes Malfait
Facets of nondegeneracy: central type factor groups, Heisenberg representations and Hadamard matrices
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev et al.
Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture
Huixuan He, Zhengwei Liu, Fan Lu et al.
Chiral Extensions of Cotangent Yangian
Keyou Zeng
Higher Fomin-Kirillov algebras are infinite-dimensional
N. Andruskiewitsch, I. Angiono, I. Heckenberger et al.