scholarly journals Quartic Poisson algebras and quartic associative algebras and realizations as deformed oscillator algebras

2013 ◽  
Vol 54 (7) ◽  
pp. 071702 ◽  
Author(s):  
Ian Marquette
Keyword(s):  
Associative Algebras ◽  
Poisson Algebras ◽  
Deformed Oscillator ◽  
Oscillator Algebras

scholarly journals Poisson algebras in terms of non-associative algebras

2008 ◽  
Vol 320 (1) ◽  
pp. 294-317 ◽  
Author(s):  
Michel Goze ◽  
Elisabeth Remm
Keyword(s):  
Associative Algebras ◽  
Poisson Algebras

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

scholarly journals Deformed oscillator algebras for two-dimensional quantum superintegrable systems

1994 ◽  
Vol 50 (5) ◽  
pp. 3700-3709 ◽  
Author(s):  
Dennis Bonatsos ◽  
C. Daskaloyannis ◽  
K. Kokkotas
Keyword(s):  
Two Dimensional ◽  
Deformed Oscillator ◽  
Superintegrable Systems ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document