Coherent state quantization of quaternions

Journal Article · Sat Aug 15 00:00:00 EDT 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4928934· OSTI ID:22479589

Muraleetharan, B., E-mail: [e-mail], E-mail: [e-mail] ^[1]; Thirulogasanthar, K., E-mail: [e-mail], E-mail: [e-mail] ^[2]

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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)

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.

• OSTI ID: 22479589
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ANNIHILATION OPERATORS
EIGENSTATES
HARMONIC OSCILLATORS
HILBERT SPACE
QUANTIZATION
QUANTUM MECHANICS