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Abstract

We shall now discuss the auxiliary mathematical apparatus which is needed later (the second quantization method of diagonalization of the forms which are quadratic with respect to the second quantization operators). We shall also discuss the conditions under which the exact Hamiltonian of a system can be reduced to a spin Hamiltonian of the Heisenberg type, and we shall consider typical spin Hamiltonians.

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© 1967 Springer Science+Business Media New York

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Tyablikov, S.V. (1967). Spin Hamiltonians. In: Methods in the Quantum Theory of Magnetism. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-7182-1_2

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  • DOI: https://doi.org/10.1007/978-1-4899-7182-1_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-7091-6

  • Online ISBN: 978-1-4899-7182-1

  • eBook Packages: Springer Book Archive

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