Coherent state quantization of quaternions
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Publication:2945517
DOI10.1063/1.4928934zbMath1335.81098arXiv1406.0028OpenAlexW1859728759MaRDI QIDQ2945517
K. Thirulogasanthar, B. Muraleetharan
Publication date: 11 September 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.0028
Coherent states (81R30) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Noncommutative geometry (à la Connes) (58B34) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
Related Items (14)
On the equivalence of complex and quaternionic quantum mechanics ⋮ Coherent states on quaternion slices and a measurable field of Hilbert spaces ⋮ Fredholm operators and essential S-spectrum in the quaternionic setting ⋮ Berberian extension and its \(S\)-spectra in a quaternionic Hilbert space ⋮ A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting ⋮ General construction of reproducing kernels on a quaternionic Hilbert space ⋮ Properties of Fredholm, Weyl and Jeribi essential S-spectra in a right quaternionic Hilbert space ⋮ Kato S-spectrum in the quaternionic setting ⋮ S-spectrum and associated continuous frames on quaternionic Hilbert spaces ⋮ S-spectrum and the quaternionic Cayley transform of an operator ⋮ Weyl and Browder S-spectra in a right quaternionic Hilbert space ⋮ Canonical, Squeezed and Fermionic Coherent States in a Right Quaternionic Hilbert Space with a Left Multiplication on It ⋮ Generalized 2D Laguerre polynomials and their quaternionic extensions ⋮ Squeezed states in the quaternionic setting
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