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

Streka, Jozef

ISBN 10: 3838362004 / ISBN 13: 9783838362007

Published by LAP LAMBERT Academic Publishing, 2010

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Bibliographic Details

• Title: On the Theory of Generalized Algebraic Transformations: Algebraic Mapping Transformations and Exactly Solvable Models in Statistical Mechanics
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2010
• Language: English
• ISBN 10: 3838362004
• ISBN 13: 9783838362007
• Binding: paperback
• Condition: Like New
• Book Type: book

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Synopsis

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.