English

Generalized algebraic transformations and exactly solvable classical-quantum models

Statistical Mechanics 2015-05-19 v1 Mathematical Physics math.MP

Abstract

The rigorous approach aimed at providing exact analytical results for hybrid classical-quantum models is elaborated on the grounds of generalized algebraic mapping transformations. This conceptually simple method allows one to obtain novel interesting exact results for the hybrid classical-quantum models, which may for instance describe interacting many-particle systems composed of the classical Ising spins and quantum Heisenberg spins, the localized Ising spins and delocalized electrons, or many other hybrid systems of a mixed classical-quantum nature.

Keywords

Cite

@article{arxiv.1007.1870,
  title  = {Generalized algebraic transformations and exactly solvable classical-quantum models},
  author = {Jozef Strecka},
  journal= {arXiv preprint arXiv:1007.1870},
  year   = {2015}
}

Comments

16 pages, 3 figures

R2 v1 2026-06-21T15:47:01.608Z