Strict Deformation Quantization via Geometric Quantization in the Bieliavsky Plane
Joint Authors
Hurtado, P.
Leones, A.
Moreno, J. B.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-25
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Using standard techniques from geometric quantization, we rederive the integral product of functions on ℝ2 (non-Euclidian) which was introduced by Pierre Bieliavsky as a contribution to the area of strict quantization.
More specifically, by pairing the nontransverse real polarization on the pair groupoid ℝ2×ℝ¯2, we obtain the well-defined integral transform.
Together with a convolution of functions, which is a natural deformation of the usual convolution of functions on the pair groupoid, this readily defines the Bieliavsky product on a subset of L2ℝ2.
American Psychological Association (APA)
Hurtado, P.& Leones, A.& Moreno, J. B.. 2020. Strict Deformation Quantization via Geometric Quantization in the Bieliavsky Plane. Abstract and Applied Analysis،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1119917
Modern Language Association (MLA)
Hurtado, P.…[et al.]. Strict Deformation Quantization via Geometric Quantization in the Bieliavsky Plane. Abstract and Applied Analysis No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1119917
American Medical Association (AMA)
Hurtado, P.& Leones, A.& Moreno, J. B.. Strict Deformation Quantization via Geometric Quantization in the Bieliavsky Plane. Abstract and Applied Analysis. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1119917
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119917