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27 April 2024
 
  » pubmed » pmid14683029

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Chaos and its quantization in dynamical Jahn-Teller systems
Hisatsugu Yamasaki ; Yuhei Natsume ; Akira Terai ; Katsuhiro Nakamura ;
Date 30 Sep 2003
Journal Phys Rev E, 68 (4 Pt 2), 046201
AbstractWe investigate the E(g) x in circle e(g) Jahn-Teller system for the purpose of revealing the nature of quantum chaos in crystals. This system simulates the interaction between the nuclear vibrational modes and the electronic motion in non-Kramers doublets for multiplets of transition-metal ions. Inclusion of the anharmonic potential due to the trigonal symmetry in crystals makes the system nonintegrable and chaotic. Besides the quantal analysis of the transition from Poisson to Wigner level statistics with increasing the strength of anharmonicity, we study the effect of chaos on the electronic orbital angular momentum and explore the magnetic g-factor as a function of the system’s energy. The regular oscillation of this factor changes to a rapidly decaying irregular oscillation by increasing the anharmonicity (chaoticity).
Source PubMed, pmid14683029
Other source [GID 637048] cond-mat/0304484
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