Thermostatistical properties of q-deformed bosons trapped in a D-dimensional power-law potential

The thermostatistical properties of an ideal gas of q-deformed bosons trapped in a D-dimensional power-law potential are studied, based on the q-deformed Bose–Einstein distribution. The effects of q-deformation on the properties of the system are discussed. It is shown that q-deformed bosons (q ≠ 1) possess many different characteristics from those of ordinary bosons, which include the condition that Bose–Einstein condensation (BEC) occurs, the critical temperature and the continuity of heat capacity.

[1]  L. C. Biedenharn,et al.  The quantum group SUq(2) and a q-analogue of the boson operators , 1989 .

[2]  E. Witten.  Gauge theories, vertex models, and quantum groups , 1990 .

[3]  Jean-Pierre Eckmann,et al.  Q-ANALYSIS OF FRACTAL SETS , 1997 .

[4]  NONEXTENSIVE STATISTICAL MECHANICS OF Q-BOSONS BASED ON THE Q-DEFORMED ENTROPY , 1998 .

[5]  V. Drinfeld.  A New realization of Yangians and quantized affine algebras , 1987 .

[6]  A. Lavagno,et al.  Non-extensive entropy in q-deformed quantum groups , 2002 .

[7]  Erratum: Degeneracy of Landau levels and the quantum group slq(2) , 1996 .

[8]  Chang-pu Sun,et al.  The q-deformed boson realisation of the quantum group SU(n)q and its representations , 1989 .

[9]  A. J. Macfarlane,et al.  On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q , 1989 .

[10]  Anyons and quantum groups , 1993, hep-th/9301100.

[11]  N. Reshetikhin,et al.  Quantum linear problem for the sine-Gordon equation and higher representations , 1983 .

[12]  Metin Arik,et al.  Hilbert spaces of analytic functions and generalized coherent states , 1976 .

[13]  Lavagno,et al.  Thermostatistics of a q-deformed boson gas , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  R. Gong.  Thermodynamic characteristics of the (p, q)-deformed ideal Bose gas , 1993 .

[15]  J. Meyer,et al.  Statistical mechanics of a q-deformed boson gas , 1993 .

[16]  Jincan Chen,et al.  Density of states and thermodynamic properties of an ideal system trapped in any dimension , 1999 .

[17]  Bradley,et al.  Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions. , 1995, Physical review letters.

[18]  M. Rasetti,et al.  Quantum groups, coherent states, squeezing and lattice quantum mechanics , 1995 .

[19]  J. Kornfilt,et al.  Random sets, q-distributions and quantum groups , 1997 .

[20]  K. B. Davis,et al.  Bose-Einstein Condensation in a Gas of Sodium Atoms , 1995, EQEC'96. 1996 European Quantum Electronic Conference.

[21]  M. A. Cayless.  Statistical Mechanics (2nd edn) , 1977 .

[22]  Jincan Chen,et al.  Bose-Einstein condensation of a q-deformed ideal Bose gas , 2002 .

[23]  C. Wieman,et al.  Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor , 1995, Science.

[24]  Hui-yun Pan,et al.  Operator realizations of the q-deformed Heisenberg algebra , 2001 .

[25]  Generalized thermodynamics of q-deformed bosons and fermions. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  A. Dimakis,et al.  Quantum mechanics on a lattice and q-deformations , 1992 .