arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/0302171quant-ph
收藏

相干态的一般方法

Coherent States: A General Approach

P. K. Panigrahi, T. Shreecharan, J. Banerji, V. Sundaram

摘要:

给出了构造与量子力学势问题有关的湮灭算符本征态相干态的一般方法。通过构造,这些相干态不是势特定的,并且依赖于正交多项式的性质来推导它们。关于一个给定的量子力学势的信息,通过与之相关的正交多项式,也通过它的基态波函数,进入这些状态。其中一些状态的时间演化表现出分数恢复,具有相关的因式分解问题。

英文摘要:

A general procedure for constructing coherent states, which are eigenstates of annihilation operators, related to quantum mechanical potential problems, is presented. These coherent states, by construction are not potential specific and rely on the properties of the orthogonal polynomials, for their derivation. The information about a given quantum mechanical potential enters into these states, through the orthogonal polynomials associated with it and also through its ground state wave function. The time evolution of some of these states exhibit fractional revivals, having relevance to the factorization problem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑