English

Spin systems, spin coherent states and quasi-exactly solvable models

Quantum Physics 2007-05-23 v1 Condensed Matter High Energy Physics - Theory Mathematical Physics math.MP Representation Theory Spectral Theory

Abstract

Spin coherent states play a crucial role in defining QESM (quasi-exactly solvable models) establishing a strict correspondence between energy spectra of spin systems and low-lying quantum states for a particle moving in a potential field of a certain form. Spin coherent states are also used for finding the Wigner-Kirkwood expansion and quantum corrections to energy quantization rules. The closed equation which governs dynamics of a quantum system is obtained in the spin coherent representation directly for observable quantities.

Keywords

Cite

@article{arxiv.quant-ph/9902058,
  title  = {Spin systems, spin coherent states and quasi-exactly solvable models},
  author = {V. V. Ulyanov and O. B. Zaslavskii},
  journal= {arXiv preprint arXiv:quant-ph/9902058},
  year   = {2007}
}

Comments

7 pages, RevTex 3.0. Talk given at the 22nd International Colloqium for Group Theoretical Methods in Physics

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