The Large-g Observability of the Low-Lying Energies in the Strongly Singular Potentials V(x) = x(2) + g(2)/x(6) after their PT-symmetric Regularization

0432994 - ÚJF 2015 RIV US eng J - Článek v odborném periodiku
Znojil, Miloslav
The Large-g Observability of the Low-Lying Energies in the Strongly Singular Potentials V(x) = x(2) + g(2)/x(6) after their PT-symmetric Regularization.
International Journal of Theoretical Physics. Roč. 53, č. 8 (2014), s. 2549-2557. ISSN 0020-7748. E-ISSN 1572-9575
Institucionální podpora: RVO:61389005
Klíčová slova: quantum evolution * Triple-Hilbert-space picture * Strongly singular forces * Regularization by complexification * strong-coupling dynamical regtime * unitarity
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.184, rok: 2014

The elementary quadratic plus inverse sextic interaction V (x) = x (2) + g (2)/x (6) containing a strongly singular repulsive core in the origin is made regular by a complex shift of coordinate x = s -i epsilon. The shift epsilon > 0 is fixed while the value of s is kept real and potentially observable, s a (-a, a). The low-lying energies of bound states are found in closed form for the large couplings g a parts per thousand < 1. Within the asymptotically vanishing oe'(a)(g (-1/4)) error bars these energies are real so that the time-evolution of the system may be expected unitary in an ad hoc physical Hilbert space.
Trvalý link: http://hdl.handle.net/11104/0237333