Cramer rule for quaternionic linear equations in quaternionic quantum theory

DOI10.1016/S0034-4877(06)80033-9zbMath1141.15307MaRDI QIDQ2480646

Tong-Song Jiang

Publication date: 3 April 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

inverse matrixdeterminantcomplex representationquaternion matrixCramer rulequaternion linear equationquaternionic quantum theorycompanion vector

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Noncommutative geometry methods in quantum field theory (81T75) Linear equations (linear algebraic aspects) (15A06)

Related Items (4)

Glimpses of the octonions and quaternions history and today's applications in quantum physics ⋮ Cramer’s rule over quaternions and split quaternions: A unified algebraic approach in quaternionic and split quaternionic mechanics ⋮ Determinantal representations of the quaternion core inverse and its generalizations ⋮ Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation

Cites Work

• Unnamed Item
• Quaternionic quantum field theory
• An algorithm for quaternionic linear equations in quaternionic quantum theory
• Coherent states in quaternionic quantum mechanics
• An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics

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