Some aspects of the q-deformed oscillator algebras as quantum groups

2005 ◽  
pp. 213-222
Author(s):  
Suemi Rodriguez-Romo ◽  
Dieter W. Ebnere
Keyword(s):  
Quantum Groups ◽  
Deformed Oscillator ◽  
Oscillator Algebras

INTERPOLATING STATISTICS AND q-DEFORMED OSCILLATOR ALGEBRAS

2006 ◽  
Vol 20 (06) ◽  
pp. 697-713 ◽  
Author(s):  
P. NARAYANA SWAMY
Keyword(s):  
Quantum Groups ◽  
Thermodynamic Functions ◽  
Oscillator Algebra ◽  
Fermi Statistics ◽  
Deformed Oscillator ◽  
Deformed Oscillator Algebra ◽  
Continuous Interpolation ◽  
Outstanding Issue ◽  
Derivatives Of ◽  
Oscillator Algebras

The idea that a system obeying interpolating statistics can be described by a deformed oscillator algebra, or quantum groups, has been an outstanding issue. We are able to demonstrate that a q-deformed oscillator algebra can be used to describe the statistics of particles which provide a continuous interpolation between Bose and Fermi statistics. We show that the generalized intermediate statistics splits into Boson-like and Fermion-like regimes, each described by a unique oscillator algebra. The thermostatistics of Boson-like particles is described by employing q-calculus based on the Jackson derivative while the Fermion-like particles are described by ordinary derivatives of thermodynamics. Thermodynamic functions for systems of both types are determined and examined.

scholarly journals Minimal areas fromq-deformed oscillator algebras

2010 ◽  
Vol 43 (42) ◽  
pp. 425202 ◽  
Author(s):  
Andreas Fring ◽  
Laure Gouba ◽  
Bijan Bagchi
Keyword(s):  
Deformed Oscillator ◽  
Oscillator Algebras
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