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

Physics – Quantum Physics

Scientific paper

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

Scientific paper

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.

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