Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Linyi University, Linyi, Shandong 276005 (China)
In the study of the relation between complexified classical and non-Hermitian quantum mechanics, physicists found that there are links to quaternionic and split quaternionic mechanics, and this leads to the possibility of employing algebraic techniques of split quaternions to tackle some problems in complexified classical and quantum mechanics. This paper, by means of real representation of a split quaternion matrix, studies the problem of diagonalization of a split quaternion matrix and gives algebraic techniques for diagonalization of split quaternion matrices in split quaternionic mechanics.
- OSTI ID:
- 22479588
- Journal Information:
- Journal of Mathematical Physics, Vol. 56, Issue 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
Workshop report on large-scale matrix diagonalization methods in chemistry theory institute
Imprimitivity theorem and quaternionic quantum mechanics
Journal Article
·
Sun May 01 00:00:00 EDT 2005
· Journal of Mathematical Physics
·
OSTI ID:22479588
Workshop report on large-scale matrix diagonalization methods in chemistry theory institute
Conference
·
Tue Oct 01 00:00:00 EDT 1996
·
OSTI ID:22479588
Imprimitivity theorem and quaternionic quantum mechanics
Conference
·
Wed Apr 01 00:00:00 EST 1981
· Hadronic J.; (United States)
·
OSTI ID:22479588