q-deformed oscillators and D-branes on conifold

Okuyama, Kazumi

doi:10.1016/j.physletb.2009.02.029

Cited by 2 publications

(1 citation statement)

References 39 publications

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“…For the last two decades, diverse models of deformed oscillators have received much attention due to both their unusual properties, as compared with the standard quantum harmonic oscillator, and their great potential for being applied in description of miscellaneous physical systems showing essential nonlinearities. The diversity of applications ranges from, say, quantum optics and Landau problem to high energy quantum particle phenomenology, modern quantum field theory and D-brane (string) theory [1][2][3][4][5][6][7][8][9]. Among the best known, extensively studied deformed oscillators we encounter such as the q-deformed Arik-Coon (AC) one [10] and Biedenharn-Macfarlane (BM) one [11,12], as well as the two-parameter p,q-deformed oscillator [13].…”

Section: Introductionmentioning

confidence: 99%

Intercepts of the momentum correlation functions in the $ \mu$ -Bose gas model and their asymptotics

Gavrilik

Rebesh

2011

Eur. Phys. J. A

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The so-called µ-deformed oscillator (or µ-oscillator) introduced by A. Jannussis, though possesses rather exotic properties with respect to other better known deformed oscillator models, also has good potential for diverse physical applications. In this paper, the corresponding µ-Bose gas model based on µ-oscillators is developed. Within this model, the intercepts λ (2) (K) and λ (3) (K) of two-and three-particle momentum correlation functions are calculated with the goal of possible application for modeling the non-Bose type behavior of the intercepts of two-and three-pion correlations, observed in the experiments on relativistic heavy ion collisions. In derivation of intercepts, a fixed order of approximation in the deformation parameter µ is assumed. For the asymptotics of the intercepts λ (2) (K) and λ (3) (K), we derive exact analytical formulas. The results for λ (2) (K) are compared with experimental data, and with earlier known results drawn using other deformed Bose gas models.

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