✦ LIBER ✦

Deformed oscillator for the Morse potential

✍ Scribed by Dennis Bonatsos; C. Daskaloyannis

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 586 KB
Volume: 203
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(93)85379-3

No coin nor oath required. For personal study only.

✦ Synopsis

Using quantum algebraic techniques we construct a generalized deformed oscillator giving the Same spectrum as the Morse potential exactly. The generalized deformed bosons used for this purpose behave, up to first order approximation, as the Qbosons already considered in the literature. The relations between the deformed creation and annihilation operators constructed here and the ones introduced earlier by Levine and by Nieto and Simmons are also found.

📜 SIMILAR VOLUMES

The linearly forced morse oscillator

✍ Gert Due Billing; Georges Jolicard 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 633 KB

An algebraic approach has been used to treat the linearly forced Morse+xcillator problem. It is shown that the dynamkxl algebra is equivalent to that for the Iif = 2 harmonic+scillator casz. Dissociation probabilities arc calculs;cd using a sudden approximation. They show a strong dependence on init

WKB equivalent potentials for q-deformed

WKB equivalent potentials for q-deformed anharmonic oscillators

✍ Dennis Bonatsos; C. Daskaloyannis; K. Kokkotas 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 450 KB

Matrix elements for anharmonic potential

Matrix elements for anharmonic potentials: Application to I2 morse oscillator

✍ G. Delgado-barrio; A. M. Cortina; A. Varadé; P. Mareca; P. Villarreal; S. Miret- 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 384 KB

Many authors have contributed expressions for obtaining analytical matrix elements for Morse oscillators. In this work, we discuss the advantages of using these expressions. At the same time, we propose a full numerical method to calculate these matrix elements and we compare, for the 12 system, the

Group theory of the Morse oscillator

✍ Y. Alhassid; F. Iachello; F. Gürsey 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 372 KB

## Rcceivcd 2 hlay 1983 A group theoretical approach to the one-dimensional Morse oscillator, includ-mg both bound and scatterin\_f states, is presented. It is shown that the group describing the scaatterhxg states, Ufl, l), can be obtained from that describing the bound states. U(2), by analytic

Analytic quantum mechanics of the morse

Analytic quantum mechanics of the morse oscillator

✍ R. Wallace 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 330 KB

The approximate eigenfunctions of the \lorsc oscillator, expressed in terms of Laguorrc polynomials, xc shown to form an approximately ortha\_eonnl basis. Ar!al~~~ic expressions for the matrix elements of common operators are obtained within this representation. With such matrix elements in closed

Franck–Condon factors for the Morse pote

Franck–Condon factors for the Morse potential

✍ N. M. Avram; Gh. E. Drăgănescu 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 153 KB 👁 1 views

The aim of this study is to establish a new representation for the dynamic algebra of the Morse oscillator and to establish the raising and lowering operators based on the properties of the confluent hypergeometric functions. Using the representation we have obtained a recurrent analytic method for