Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005)

0044303 - ÚJF 2007 RIV NL eng J - Journal Article
Bíla, Hynek - Tater, Miloš - Znojil, Miloslav
Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005).
[Srovnání kvantového a klasického chování PT-symetrických systémů v blízkosti křížení hladin.]
Physics Letters. A. Roč. 351, č. 6 (2006), s. 452-456. ISSN 0375-9601. E-ISSN 1873-2429
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : PT-symmetric system
Subject RIV: BE - Theoretical Physics
Impact factor: 1.468, year: 2006

After a thorough numerical analysis of the quantized Barbanis' system (two harmonic oscillators coupled by V-int = root gxy(2)), Nananyakkara [A. Nananyakkara, Phys. Lett. A 334 (2005) 144] conjectured that there exist no true level crossings. Here we report an opposite observation. A systematic improvement of the precision of the calculations forces us to conclude that in the system in question one finds no avoided crossings at all. Our twin explanation of the discrepancy is based on the false convergence of the variational method and on an unexpected (and unaccounted) degeneracy of the unperturbed energies in loc. cit.

Nanayakkarovy výsledky jsou přezkoumány a podrobeny kritice. Pozorována falešná konvergence variační metody, degenerace hladin a nepřítomnost vyhnutých křížení.
Permanent Link: http://hdl.handle.net/11104/0137120