Coherent states in quaternionic quantum mechanics

DOI10.1063/1.531961zbMath0898.46066OpenAlexW2062813100MaRDI QIDQ4345071

Stephen L. Adler, Andrew C. Millard

Publication date: 2 November 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531961

zbMATH Keywords

group representationscoherent statesquaternionic Hilbert spacequaternionic phase

Mathematics Subject Classification ID

Coherent states (81R30) Applications of functional analysis in quantum physics (46N50) Applications of group representations to physics and other areas of science (20C35)

Related Items (11)

Coherent states and Hermite polynomials on quaternionic Hilbert spaces ⋮ Coherent states on quaternion slices and a measurable field of Hilbert spaces ⋮ An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics ⋮ A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting ⋮ Regular subspaces of a quaternionic Hilbert space from quaternionic Hermite polynomials and associated coherent states ⋮ A rejoinder on quaternionic projective representations ⋮ An algorithm for quaternionic linear equations in quaternionic quantum theory ⋮ Cramer rule for quaternionic linear equations in quaternionic quantum theory ⋮ One-dimensional quaternion homogeneous polynomial differential equations ⋮ Canonical, Squeezed and Fermionic Coherent States in a Right Quaternionic Hilbert Space with a Left Multiplication on It ⋮ Squeezed states in the quaternionic setting

Cites Work

• On the structure of projective group representations in quaternionic Hilbert space

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