Generalized algebraic transformations and exactly solvable classical-quantum models |
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Authors: | Jozef Stre?ka |
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Affiliation: | Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 04001 Košice, Slovakia |
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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. |
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Keywords: | Exactly solvable classical-quantum models Algebraic mapping transformations Ising-Heisenberg model |
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