Coherent States for General Potentials

Abstract

We define coherent states for general potentials, requiring that they have the physically interesting properties of the harmonic-oscillator coherent states. We exhibit these states for several solvable examples and show that they obey a quantum approximation to the classical motion.

Temporally stable coherent states for infinite well and Pöschl–Teller potentials

“…In addition, we should also quote Nieto and Simmons [41], who have considered the infinite square-well and the Pöschl-Teller potentials as examples of their construction of coherent states. The latter are required to minimize an uncertainty relation or, equivalently, to be eigenvectors of some "lowering operator" A − (à la Barut-Girardello [31]).…”

Когерентные Состояния Для Потенциала Хартмана

“…КАНДИРМАЗ, Н. ЮНАЛЬ В работах [3], [4] был развит общий формализм построения когерентных состоя-ний для различных потенциалов. В этих работах была сделана попытка построить когерентные состояния для понижающих операторов динамической группы симмет-рии физической системы.…”

Generalized coherent and intelligent states for exact solvable quantum systems

“…A central goal of this article is to extend the above three definitions for an arbitrary quantum system (exactly solvable) and comparing the equivalence between them. Note that an attempt in this sense was considered by Nieto et al [9] concluding that the three definition are generally inequivalents. Our analysis is different from the Nieto et al ones for several reasons which will be clear in the sequel of this paper.…”