An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics

DOI10.1063/1.1769106zbMath1071.81047OpenAlexW2042192970MaRDI QIDQ4833483

Tong-Song Jiang

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1769106

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99)

Related Items (12)

Algebraic methods for condiagonalization under consimilarity of quaternion matrices in quaternionic quantum mechanics ⋮ Computing partial quaternion eigenpairs with quaternion shift ⋮ Algebraic algorithms for eigen-problems of a reduced biquaternion matrix and applications ⋮ Algebraic techniques for eigenvalues and eigenvectors of a nectarine matrix in nectarine algebra ⋮ Glimpses of the octonions and quaternions history and today's applications in quantum physics ⋮ Consimilarity of quaternions and coneigenvalues of quaternion matrices ⋮ Cramer rule for quaternionic linear equations in quaternionic quantum theory ⋮ Algebraic algorithms for least squares problem in quaternionic quantum theory ⋮ An algebraic method for Schrödinger equations in quaternionic quantum mechanics ⋮ Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics ⋮ Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory ⋮ An algorithm for coneigenvalues and coneigenvectors of quaternion matrices

Cites Work

• Coherent states in quaternionic quantum mechanics
• Projective group representations in quaternionic Hilbert space
• Quaternions and matrices of quaternions

This page was built for publication: An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics