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WKB equivalent potentials for q-deformed anharmonic oscillators

✍ Scribed by Dennis Bonatsos; C. Daskaloyannis; K. Kokkotas

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 450 KB
Volume: 193
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(92)85707-h

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Deformed oscillator for the Morse potent

Deformed oscillator for the Morse potential

✍ Dennis Bonatsos; C. Daskaloyannis 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 586 KB

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

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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

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Accurate energy levels for the anharmonic oscillator and a summable series for the double-well potential in perturbation theory: William E. Caswell. Department of Physics, Brown University, Providence, Rhode Island 02912

📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 82 KB

We introduce a generalization of Wick-ordering which maps the anharmonic oscillator (AO) Hamiltonian for mass m and coupling h exactly into a "Wick-ordered" Hamiltonian with an effective mass M which is a simple analytic function of h and m. The effective coupling rl = X/M3 is bounded. We transform