Number of the records: 1
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
- 1.
SYSNO ASEP 0432994 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title 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 Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Number of authors 1 Source Title International Journal of Theoretical Physics - ISSN 0020-7748
Roč. 53, č. 8 (2014), s. 2549-2557Number of pages 9 s. Publication form Print - P Language eng - English Country US - United States Keywords quantum evolution ; Triple-Hilbert-space picture ; Strongly singular forces ; Regularization by complexification ; strong-coupling dynamical regtime ; unitarity Subject RIV BE - Theoretical Physics Institutional support UJF-V - RVO:61389005 UT WOS 000339817300004 DOI 10.1007/s10773-014-2052-6 Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2015
Number of the records: 1