𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Investigation of the pseudo-harmonic oscillator by su(1, 1) spectrum generating algebra

✍ Scribed by Fevzi Büyükkılıç; Doğan Demirhan; Serhat F. Özeren

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
235 KB
Volume
194
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis

The discrete and continuous energy spectra of the pseudo-harmonic oscillator (PHO) have been investigated by the spectrum generating algebra. The PHO potential has been obtained depending on the dimension and the angular momentum. The zeropoint energy of the two-dimensional PHO is found to be a minimum. The results are consistent with those obtained by other methods.

📜 SIMILAR VOLUMES

Quantum Dynamics of Damped Harmonic Osci
Quantum Dynamics of Damped Harmonic Oscillator in Terms of Representations of the Group SU(1,1) and in Relation to Models of Continuous Measurement
✍ V. Peřinová; A. Lukš 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 80 KB 👁 2 views

Solution of the master equation for the damped harmonic oscillator is expressed in terms of the matrix elements of the representations of the group SU(1,1). We investigate the role of the group SU(1,1) in the optical attenuation and amplification processes. The connection to the ideal photon and qua