Diagonalization of Bounded Linear Operators on Separable Quaternionic Hilbert Space

被引：3

作者：

Feng, Youling ^{[3
,4
]}

Cao, Yang ^{[5
]}

Wang, Haijun ^{[1
,2
]}

机构：

[1] Jilin Univ, Ctr Theoret Phys, Changchun 130012, Peoples R China

[2] Jilin Univ, Sch Phys, Changchun 130012, Peoples R China

[3] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[4] Jilin Univ Finance & Econ, Dept Appl Math, Changchun 130117, Peoples R China

[5] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 02期

关键词：

D O I：

10.1063/1.3688625

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 Schrodinger equation in quaternionic quantum mechanics. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3688625]

引用

页数：12

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