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Integrable Heisenberg-Dirac Chains with Variable Range Exchange

Integrable Heisenberg-Dirac Chains with Variable Range Exchange

Integrable Heisenberg-Dirac Chains with Variable Range Exchange
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Integrable Heisenberg-Dirac Chains with Variable Range Exchange Papeback -

by Inozemtsev Vladimir

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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG , pp. 88 . Papeback. New.
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Details

  • Title Integrable Heisenberg-Dirac Chains with Variable Range Exchange
  • Author Inozemtsev Vladimir
  • Binding Papeback
  • Condition New
  • Pages 88
  • Volumes 1
  • Language ENG
  • Publisher VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG
  • Publication date pp. 88
  • Bookseller's Inventory # 6128859275
  • ISBN 9783843359450 / 3843359458
  • Weight 0.31 lbs (0.14 kg)
  • Dimensions 9 x 6 x 0.21 in (22.86 x 15.24 x 0.53 cm)
  • Category Mathematics
  • Quantity available 4

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Reader reviews for Integrable Heisenberg-Dirac Chains with Variable Range Exchange

From the publisher

The book is devoted to the review of original results of the author in the theory of integrable s=1/2 quantum spin chains with the exchange constants proportional to inverse square hyperbolic sine (infinite chains) and Weierstrass elliptic function with real period which equals to the number of lattice sites (chains with periodic boundary conditions). It contains the proof of integrability (explicit construction of integrals of motion) and detailed description of multimagnon wave functions generalizing the well-known Bethe ansatz for one-dimensional chains with nearest-neighbor exchange. Much attention is paid to finding explicit form of corresponding eigenvalue equations for arbitrary number of magnons based on analogy with quantum Calogero-Moser integrable particle systems with inverse square hyperbolic and elliptic potentials at some integer coupling constant.
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