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Physics and Mathematics of Quantum Many-Body Systems

Physics and Mathematics of Quantum Many-Body Systems

Hardcover

Series: Graduate Texts in Physics

Technology & EngineeringPhysics

ISBN10: 3030412644
ISBN13: 9783030412647
Publisher: Springer Nature
Published: May 8 2020
Pages: 525
Weight: 2.06
Height: 1.19 Width: 6.14 Depth: 9.21
Language: English

This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter.

The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book's main focus is on universal properties of quantum many-body systems.

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