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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
- 1.0432994 - ÚJF 2015 RIV US eng J - Journal Article
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
Institutional support: RVO:61389005
Keywords : quantum evolution * Triple-Hilbert-space picture * Strongly singular forces * Regularization by complexification * strong-coupling dynamical regtime * unitarity
Subject RIV: BE - Theoretical Physics
Impact factor: 1.184, year: 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.
Permanent Link: http://hdl.handle.net/11104/0237333
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