Algebraic Methods for Condiagonalization Under Consimilarity of Quaternion Matrices in Quaternionic Quantum Mechanics

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• 作者：Tongsong Jiang (1) (2)
  Sitao Ling (3)
  
• 关键词：Condiagonalization ; quaternion matrices ; consimilarity ; antilinear operator
• 刊名：Advances in Applied Clifford Algebras
• 出版年：2013
• 出版时间：June 2013
• 年：2013
• 卷：23
• 期：2
• 页码：405-415
• 全文大小：266KB
• 参考文献：1. Sakurai, J. J, / Modern Quantum Mechanics. Menlo Park, CA: Benjamin/cummings, 1985.
  2. Shankar, R, / Principles of Quantum Mechanics. Plenum Publishing Corporation, Inc., 1984.
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  6. Adler S.L: Quaternionic Quantum Mechanics and Quantum Fields. Oxford University Press, New York (1995)
  7. Jiang T: Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory. J. Math. Phys. 46, 052106 (2005) CrossRef
  8. Jiang T.: An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics. J. Math. Phys. 45, 3334鈥?338 (2004) CrossRef
  9. Huang L: Consimilarity of quaternion matrices and complex matrices. Linear Algebra Appl. 331, 21鈥?0 (2001) CrossRef
  
• 作者单位：Tongsong Jiang (1) (2)
  Sitao Ling (3)
  
  1. Department of Mathematics, Linyi University, Linyi, 276005, P.R. China
  2. Department of Computer Science and Technology, Shandong University, Jinan, 250100, P.R. China
  3. Department of Mathematics, China University of Mining and Technology, Xuzhou, 221116, P.R. China
  
• ISSN：1661-4909

文摘

By means of complex representation and real representation of quaternion matrices, paper [7] studied the problem of diagonalization of quaternion matrices. This paper introduces two new complex representation and real representation of quaternion matrices, studies the problem of condiagonalization under consimilarity of quaternion matrices, and gives two algebraic methods for the condiagonalization under consimilarity of quaternion matrices.