Investigation of the Pseudo-Harmonic Oscillator By Su(1, 1) Spectrum Generating Algebra

WOS: A1992JA66000002The 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 zero-point energy of the two-dimensional PHO is found to be a minimum. The results are consistent with those obtained by other methods

Landau diamagnetism within Tsallis thermostatistics and quantum groups

WOS: 000073620600013In this study, using the base of coherent states, Landau diamagnetism has been generalized within Tsallis Thermostatistics. As far as we know, this is the first attempt to introduce coherent states in this formalism. The magnetization and the susceptibility of the system have been obtained and compared with the standard result to illustrate the effect of nonextensivity. Then, adding a perturbation term to the Hamiltonian of the system, nonextensive effects on diamagnetic susceptibility have been investigated. In addition to this, making use of the q(G)-deformed partition function of the q(G)-oscillator system, the magnetization for q(G)-deformed Landau diamagnetism has been derived, with the aim of comparing the results obtained within both formalisms