Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory

2005 ◽  
Vol 46 (5) ◽  
pp. 052106 ◽  
Author(s):  
Tongsong Jiang
Keyword(s):  
Quantum Theory ◽  
Algebraic Methods ◽  
Quaternion Matrix

scholarly journals An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Tongsong Jiang ◽  
Xuehan Cheng ◽  
Sitao Ling
Keyword(s):  
Algebraic Methods ◽  
Complex Representation ◽  
Algebraic Relation ◽  
Quaternion Matrix ◽  
Complex Matrices ◽  
Quaternion Matrices

This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices. It sets up an algebraic bridge between consimilarity and similarity, and turns the theory of consimilarity of quaternion matrices into that of ordinary similarity of complex matrices. This paper also gives algebraic methods for finding coneigenvalues and coneigenvectors of quaternion matrices by means of complex representation of a quaternion matrix.

Quantum theory of light in nonlinear media with dispersion and absorption

1998 ◽  
Vol 45 (2) ◽  
pp. 377-402 ◽  
Author(s):  
EDUARD SCHMIDT , JOHN JEFFERS , STEPHEN M.
Keyword(s):  
Quantum Theory ◽  
Nonlinear Media

A comprehensive quantum theory of diffusion

1971 ◽  
Vol 14 (6) ◽  
pp. 135-156 ◽  
Author(s):  
J. Amran Sussmann
Keyword(s):  
Quantum Theory
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