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Quantum inner-product metrics via the recurrent solution of the Dieudonne equation

  1. 1.
    0384868 - ÚJF 2013 RIV GB eng J - Článek v odborném periodiku
    Znojil, Miloslav
    Quantum inner-product metrics via the recurrent solution of the Dieudonne equation.
    Journal of Physics A-Mathematical and Theoretical. Roč. 45, č. 8 (2012), 085302/1-085302/13. ISSN 1751-8113. E-ISSN 1751-8121
    Grant CEP: GA ČR GAP203/11/1433; GA MŠMT LC06002
    Institucionální podpora: RVO:61389005
    Klíčová slova: tridiagonal metrix Hamiltonians * inner-product metries * Dieudonne equation * recurrent solution * Jacobi Polynomials
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 1.766, rok: 2012

    A given Hamiltonian matrix H with a real spectrum is assumed tridiagonal and non-Hermitian, H not equal H-dagger. Its possible Hermitizations via an amended, ad hoc inner-product metric Theta = Theta(dagger) > 0 are studied. Under certain reasonable assumptions, all of these metrics Theta = Theta(H) are shown to be obtainable as recurrent solutions of the hidden Hermiticity constraint H-dagger Theta = Theta H called the Dieudonne equation. In this framework, even the two-parametric Jacobi-polynomial real and asymmetric N-site lattice H-(N) (mu, nu) is found to be exactly solvable at all N.
    Trvalý link: http://hdl.handle.net/11104/0217360

     
     
Počet záznamů: 1  

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