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Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005)
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SYSNO ASEP 0044303 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005) Title Srovnání kvantového a klasického chování PT-symetrických systémů v blízkosti křížení hladin Author(s) Bíla, Hynek (UJF-V)
Tater, Miloš (UJF-V) RID, ORCID, SAI
Znojil, Miloslav (UJF-V) RID, ORCID, SAISource Title Physics Letters. A. - : Elsevier - ISSN 0375-9601
Roč. 351, č. 6 (2006), s. 452-456Number of pages 5 s. Language eng - English Country NL - Netherlands Keywords PT-symmetric system Subject RIV BE - Theoretical Physics R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10480505 - UJF-V (2005-2011) Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2007
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