Počet záznamů: 1

Scattering theory using smeared non-Hermitian potentials

  1. 1.
    0333961 - UJF-V 2010 RIV US eng J - Článek v odborném periodiku
    Znojil, Miloslav
    Scattering theory using smeared non-Hermitian potentials.
    Physical Review D: Particles, Fields, Gravitation and Cosmology. Roč. 80, č. 4 (2009), 045009/1-045009/12 ISSN 1550-7998
    Grant CEP: GA MŠk LC06002; GA ČR GA202/07/1307
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: symmetric quantum-mechanics * pseudo-hermiticity * real spectrum
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 4.922, rok: 2009

    Local non-Hermitian potentials V(x)not equal V-*(x) can, sometimes, generate stable bound states Sigma(x) at real energies. Unfortunately, the idea [based on the use of a non-Dirac ad hoc metric Theta(x,x('))not equal delta(x-x(')) in Hilbert space] cannot directly be transferred to scattering due to the related loss of the asymptotic observability of x [cf. H. F. Jones, Phys. Rev. D 78, 065032 (2008)]. We argue that for smeared (typically, nonlocal or momentum-dependent) potentials V not equal V-dagger this difficulty may be circumvented. A return to the usual (i.e., causal and unitary) quantum scattering scenario is then illustrated via an exactly solvable multiple-scattering example. In it, the anomalous loss of observability of the coordinate remains restricted to a small vicinity of the scattering centers.
    Trvalý link: http://hdl.handle.net/11104/0178813