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

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Description	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. 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. (en) Nanayakkarovy výsledky jsou přezkoumány a podrobeny kritice. Pozorována falešná konvergence variační metody, degenerace hladin a nepřítomnost vyhnutých křížení. (cs)
Title	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 (cs) Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005) (en)
skos:prefLabel	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 (cs) Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005) (en)
skos:notation	RIV/61389005:_____/06:00044303!RIV07-AV0-61389005
http://linked.open.../vavai/riv/strany	452;456
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2007
http://linked.open...aciTvurceVysledku	Bíla, Hynek Znojil, Miloslav Tater, Miloš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	469305
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/06:00044303
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	PT-symmetric system (en)
http://linked.open.../riv/klicoveSlovo	PT-symmetric system
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[180312BB6569]
http://linked.open...i/riv/nazevZdroje	Physics Letters. A
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2006
http://linked.open...v/svazekPeriodika	351
http://linked.open...iv/tvurceVysledku	Tater, Miloš Znojil, Miloslav Bíla, Hynek
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	0375-9601
number of pages	5 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005) Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings (vol 334, pg 144, 2005)

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