Coherent state Quantization of quaternions
arXiv:1406.0028 · doi:10.1063/1.4928934
Abstract
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 analysed. Quaternionic version of the harmonic oscillator and Weyl-Heisenberg algebra are also obtained.
19 pages
References in corpus (5)
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Cited by in corpus (13)
- Fredholm operators and essential S-spectrum in the quaternionic setting
- A Representation of Weyl-Heisenberg Lie Algebra in the Quaternionic Setting
- Quaternionic quantum harmonic oscillator
- Weyl and Browder S-spectrums in a right quaternionic Hilbert space
- Quaternionic elastic scattering
- S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces
- S-Spectrum and the quaternionic Cayley transform of an operator
- Self-interacting quantum particles
- Square-well potential in quaternic quantum mechanics
- Kato S-spectrum in the quaternionic setting
- Squeezed states in the quaternionic setting
- Decomposable operators, local S-spectrum and S-spectrum in the quaternionic setting
- Berberian extension and its S-spectra in a quaternionic Hilbert space