Complex Correspondence Principle
Complex Correspondence Principle
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DOI：
10.1103/physrevlett.104.061601
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发表时间：
2010-02-12
影响因子：
8.6
通讯作者：
Wang, Qing-hai
中科院分区：
文献类型：
--
作者：
Bender, Carl M.;Hook, Daniel W.;Wang, Qing-hai
量子力学和经典力学是截然不同的理论，但对应原理表明，量子粒子在高量子数极限下的行为是经典的。近年来，人们在将量子力学和经典力学扩展到复数领域方面做了大量的研究。这些复杂的扩展继续表现出对应关系，并且这种对应关系在复数域中变得更加明显。复杂量子力学和复杂经典力学之间的联系是微妙的，要证明这种关系需要使用超越所有阶数的渐近性。
Quantum mechanics and classical mechanics are distinctly different theories, but the correspondence principle states that quantum particles behave classically in the limit of high quantum number. In recent years much research has been done on extending both quantum and classical mechanics into the complex domain. These complex extensions continue to exhibit a correspondence, and this correspondence becomes more pronounced in the complex domain. The association between complex quantum mechanics and complex classical mechanics is subtle and demonstrating this relationship requires the use of asymptotics beyond all orders.