Exceptional points, non-normal matrices, hierarchy of spin matrices and an eigenvalue problem

Willi-Hans Steeb () and Yorick Hardy ()
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Willi-Hans Steeb: International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa
Yorick Hardy: Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 11, 1-9

Abstract: Exceptional points of a class of non-hermitian Hamilton operators Ĥ of the form Ĥ = Ĥ0+ iĤ1are studied, where Ĥ0and Ĥ1are hermitian operators. Finite dimensional Hilbert spaces are considered. The linear operators Ĥ0and Ĥ1are given by spin matrices for spins = 1/2, 1, 3/2, …. Since the linear operators studied are non-normal, properties of such operators are described.

Keywords: Spin matrices; non-normal matrices; eigenvalue problem (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500594

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