.png){kind=icon}
返回
Probability density in the complex plane
.png){kind=icon}
OA
AI
DOI：10.1016/j.aop.2010.02.011.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The correspondence principle asserts that quantum mechanics resembles classical mechanics in the high-quantum-number limit. In the past few years, many papers have been published on the extension of both quantum mechanics and classical mechanics into the complex domain. However, the question of whether complex quantum mechanics resembles complex classical mechanics at high energy has not yet been studied. This paper introduces the concept of a local quantum probability density rho(z) in the complex plane. It is shown that there exist infinitely many complex contours C of infinite length on which rho(z)dz is real and positive. Furthermore, the probability integral integral(c) rho(z) dz is finite. Demonstrating the existence of such contours is the essential element in establishing the correspondence between complex quantum and classical mechanics. The mathematics needed to analyze these contours is subtle and involves the use of asymptotics beyond all orders. (c) 2010 Elsevier Inc. All rights reserved.
Keyword:
Correspondence principle
PT Symmetry
Hyperasymptotics
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3
论文数:
5.4K
被引数:
1.8W
机构
引用论文
Extracting Best Set of Factors that Affect Students Adoption of Smartphone for University Education: Empirical Evidence from UTAUT-2 Model提取影响学生采用智能手机进行大学教育最佳因素集：基于UTAUT-2模型的实证证据
OAAI
.png){kind=icon}
OAAI分享收藏‘It’s one of the first times I’ve felt fully engaged’: developing student engagement using blogging as a form of assessment“这是我第一次完全投入的感觉”: 利用博客作为评估形式来发展学生参与度OAAI
OAAI分享收藏分享收藏
查看更多内容