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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Willi-Hans Steeb & Yorick Hardy, 2014. "Exceptional points, non-normal matrices, hierarchy of spin matrices and an eigenvalue problem," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(11), pages 1-9.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:11:n:s0129183114500594
    DOI: 10.1142/S0129183114500594
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