Počet záznamů: 1  

Tridiagonal PT-symmetric N-by-N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime

  1. 1. 0092533 - UJF-V 2008 RIV GB eng J - Článek v odborném periodiku
    Znojil, Miloslav
    Tridiagonal PT-symmetric N-by-N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime.
    [Tridiagonal PT-symmetrický N-by-N Hamiltonians.]
    Journal of Physics A-Mathematical and Theoretical. Roč. 40, č. 43 (2007), s. 13131-13148 ISSN 1751-8113
    Grant CEP: GA MŠk LC06002; GA ČR GA202/07/1307
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: quantum-mechanics * pseudo-hermiticity * anharmonic-oscillators
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 1.680, rok: 2007

    A generic PT-symmetric Hamiltonian is assumed tridiagonalized and truncated to N < infinity dimensions, H -> H-(chain model), and all its up-down symmetrized special cases with J = [N/2] real couplings are considered, H-(chain model) -> H-(N). Using symbolic manipulation and extrapolation techniques we find out that in the strongly non-Hermitian regime the secular equation gets partially factorized at all N. This enables us to reveal a fine-tuned alignment of the dominant couplings implying an asymptotically sharply spiked shape of the boundary of the J-dimensional quasi-Hermiticity domain D-(N) in which all the spectrum of energies E-n((N)) remains real and observable.

    Tridiagonal PT-symmetrický N-by-N Hamiltonians.
    Trvalý link: http://hdl.handle.net/11104/0152827