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

被引:9
作者
Bíla, H [1 ]
Tater, M [1 ]
Znojil, M [1 ]
机构
[1] Acad Sci Czech Republ, Inst Nucl Phys, Dept Theoret Phys, CZ-25068 Rez, Czech Republic
关键词
D O I
10.1016/j.physleta.2006.01.004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:452 / 456
页数:5
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