Published August 2015 | Version v1
Journal article Metadata-only

Coherent state quantization of quaternions

Creators

  • 1. Department of Mathematics and Statistics, University of Jaffna, Thirunelveli (Sri Lanka)
  • 2. Department of Computer Science and Software Engineering, Concordia University, 1455 De Maisonneuve Blvd. West, Montreal, Quebec H3G 1M8 (Canada)

Description

Parallel to the quantization of the complex plane, using the canonical coherent states of a right quaternionic Hilbert space, quaternion field of quaternionic quantum mechanics is quantized. Associated upper symbols, lower symbols, and related quantities are analyzed. Quaternionic version of the harmonic oscillator and Weyl-Heisenberg algebra are also obtained

Additional details

Identifiers

DOI
10.1063/1.4928934;
arXiv
arXiv:1406.0028v3;

Publishing Information

Journal Title
Journal of Mathematical Physics
Journal Volume
56
Journal Issue
8
Journal Page Range
p. 083510-083510.16
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
47049483
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; ANNIHILATION OPERATORS; EIGENSTATES; HARMONIC OSCILLATORS; HILBERT SPACE; QUANTIZATION; QUANTUM MECHANICS
Descriptors DEC
BANACH SPACE; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE

Optional Information

Notes
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