Jozef Stre?ka

On the Theory of Generalized Algebraic Transformations: Algebraic Mapping Transformations and Exactly Solvable Models in Statistical Mechanics Jozef Stre?ka

The present book deals with the theory of generalized algebraic transformations, which is elaborated with the aim to provide a relatively simple mapping method that enables an exact treatment of various more complex lattice-statistical models. The versatility of this rigorous mapping technique has been convincingly evidenced in two different families of exactly solvable models. The family of exactly solved Ising models brought a deeper insight into diverse aspects closely associated especially with phase transitions and critical phenomena. The second class of exactly solved Ising-Heisenberg models sheds light on striking quantum manifestations of spontaneously long-range ordered systems, which are closely connected with a mutual interplay between quantum and cooperative phenomena.