Published February 2012 | Version v1
Journal article Metadata-only

Diagonalization of Bounded Linear Operators on Separable Quaternionic Hilbert Space

Creators

  • 1. Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117 (China)
  • 2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024 (China)
  • 3. Department of Mathematics, Jilin University, Changchun 130012 (China)
  • 4. Center for Theoretical Physics and School of Physics, Jilin University, Changchun 130012 (China)

Description

By using the representation of its complex-conjugate pairs, we have investigated the diagonalization of a bounded linear operator on separable infinite-dimensional right quaternionic Hilbert space. The sufficient condition for diagonalizability of quaternionic operators is derived. The result is applied to anti-Hermitian operators, which is essential for solving Schroedinger equation in quaternionic quantum mechanics.

Additional details

Identifiers

DOI
10.1063/1.3688625;

Publishing Information

Journal Title
Journal of Mathematical Physics
Journal Volume
53
Journal Issue
2
Journal Page Range
p. 023517-023517.12
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43080597
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMPLEX MANIFOLDS; HERMITIAN OPERATORS; HILBERT SPACE; NONLINEAR PROBLEMS; QUANTUM MECHANICS; SCHROEDINGER EQUATION
Descriptors DEC
BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; WAVE EQUATIONS

Optional Information

Notes
(c) 2012 American Institute of Physics