1997/01/22 by G. Kaniadakis, A. Lavagno, P. Quarati · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Information and Cryptography #Quantum many-body systems #hep-th
paper · pdf · doi:10.1016/s0375-9601(97)00068-6
revtex, 4 pages, to appear in Phys. Lett. A
arxiv created 1997/01/22 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have studied the kinetics of q-deformed bosons and fermions, within a semiclassical approach. This investigation is realized by introducing a generalized exclusion-inclusion principle, intrinsically connected with the quantum q-algebra by means of the creation and annihilation operators matrix elements. In this framework, we have derived a non-linear Fokker-Planck equation for q-deformed bosons and fermions which can be seen as a time evolution equation, appropriate to consider non-equilibrium or near-equilibrium systems in a semiclassical approximation. The steady state of this equation reproduces in a simple mode the q-oscillators equilibrium statistics.