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Microscopic Theories of Quantum Lattice Systems

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Recent Progress in Many-Body Theories

Abstract

Quantum-mechanical systems described by a Hamiltonian defined on an extended regular spatial lattice have become the subjects of a great deal of theoretical work in various fields of physics. Examples of considerable topical interest include: (i) spin-lattice systems such as the solid phases of He,and models of interest in magnetism, exemplified by the spin1/2 anisotropic Heisenberg (or XXZ) model, the spin-1 Heisenberg–biquadratic model, and models with nearest and next-nearest neighbour interactions; (ii) models of strongly interacting electrons on lattices, such as the t-J and Hubbard models; and (iii) lattice gauge field theories, such as the Abelian U (1) and the non-Abelian SU (2) models.

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Bishop, R.F. (1995). Microscopic Theories of Quantum Lattice Systems. In: Schachinger, E., Mitter, H., Sormann, H. (eds) Recent Progress in Many-Body Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1937-9_20

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  • DOI: https://doi.org/10.1007/978-1-4615-1937-9_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5794-0

  • Online ISBN: 978-1-4615-1937-9

  • eBook Packages: Springer Book Archive

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