Fibonacci oscillators and two-parameter generalized thermostatistics

The multi-dimensional bosonic Fibonacci oscillator algebra is considered. Starting with a two-parameter deformed Bose-Einstein distribution function, the high-temperature thermostatistical properties of a gas of the commuting Fibonacci oscillators such as the equation of state are obtained in terms of some functions of the real independent deformation parameters q(1) and q(2). The effects of two deformation parameters on the properties of the system are also discussed. However, the undeformed boson gas results can be recovered in the limit q(1) = q(2) = 1. (C) 2009 Elsevier B.V. All rights reserved.