The q-harmonic oscillator in a lattice model

DOI10.1063/1.532633zbMath0986.81055OpenAlexW2071921691MaRDI QIDQ4701573

Hans J. P. van Leeuwen, Hans Maassen

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532633

zbMATH Keywords

momentsnoncommutative probability\(q\)-deformed commutation relations\(q\)-harmonic oscillatorpair partitions\(q\)-deformed lattice LaplacianParisi model

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative probability and statistics (46L53) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• An example of a generalized Brownian motion
• An obstruction forq-deformation of the convolution product
• D-dimensional arrays of Josephson junctions, spin glasses and q-deformed harmonic oscillators