首页> 外文OA文献 >Universal wave functions structure in mixed systems
【2h】

Universal wave functions structure in mixed systems

机译:混合系统中的通用波函数结构

摘要

When a regular classical system is perturbed, non-linear resonances appear asprescribed by the KAM and Poincar\`{e}-Birkhoff theorems. Manifestations ofthis classical phenomena to the morphologies of quantum wave functions arestudied in this letter. We reveal a systematic formation of an universalstructure of localized wave functions in systems with mixed classical dynamics.Unperturbed states that live around invariant tori are mixed when they collidein an avoided crossing if their quantum numbers differ in a multiple to theorder of the classical resonance. At the avoided crossing eigenstates arelocalized in the island chain or in the vicinity of the unstable periodic orbitcorresponding to the resonance. The difference of the quantum numbersdetermines the excitation of the localized states which is reveled using thezeros of the Husimi distribution.
机译:当一个常规的经典系统受到扰动时,非线性共振就会出现,如KAM和Poincar'e {e} -Birkhoff定理所规定的那样。本文研究了这种经典现象对量子波函数形态的表现。我们揭示了在混合经典动力学系统中局部波函数的通用结构的系统形成。如果不变量子的量子数与经典共振的倍数不同,则它们在碰撞避免碰撞的情况下发生碰撞时,生活在不变托里周围的未扰动状态就会混合在一起。在避免相交时,本征态位于岛链中或对应于共振的不稳定周期轨道附近。量子数的差异决定了局部态的激发,该激发态利用胡西米分布的零点来揭示。

著录项

  • 作者

    Wisniacki, Diego A.;

  • 作者单位
  • 年度 2014
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
  • 中图分类

相似文献

  • 外文文献
  • 中文文献
  • 专利

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号