2005Journal of Mathematical PhysicsRequires access

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

Tongsong Jiang

Open publisher page 51 citations

Abstract

By means of complex representation and real representation of a quaternion matrix, this paper studies the problem of diagonalization of a quaternion matrix, gives two algebraic methods for diagonalization of quaternion matrices in quaternionic quantum theory.

About this research paper

What this paper is about

By means of complex representation and real representation of a quaternion matrix, this paper studies the problem of diagonalization of a quaternion matrix, gives two algebraic methods for diagonalization of quaternion matrices in quaternionic quantum theory.

Why it matters

OpenAlex reports 51 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

By means of complex representation and real representation of a quaternion matrix, this paper studies the problem of diagonalization of a quaternion matrix, gives two algebraic methods for diagonalization of quaternion matrices in quaternionic quantum theory.

Key concepts: Quaternion, Mathematics, Quaternionic representation, Algebra over a field, Matrix (chemical analysis), Quaternion algebra, Representation (politics), Matrix representation

Related papers

Back to paper searchBrowse research topicsOriginal source
Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory — Research Paper | ScholarLens