形状不变势和自相似势的代数性质
Algebraic Nature of Shape-Invariant and Self-Similar Potentials
摘要：
自相似势推广了形状不变性的概念，形状不变性最初被引入到量子力学中来探索精确可解势。在这篇文章中，它表明，以前介绍的代数方法，后者可以推广到前者。在这种情况下引入的无限李代数被证明是密切相关的q-代数。研究了相关相干态。
英文摘要：
Self-similar potentials generalize the concept of shape-invariance which was originally introduced to explore exactly-solvable potentials in quantum mechanics. In this article it is shown that previously introduced algebraic approach to the latter can be generalized to the former. The infinite Lie algebras introduced in this context are shown to be closely related to the q-algebras. The associated coherent states are investigated.
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。
