The Commutativity of Integrals of Motion for Quantum Spin Chains and Elliptic Functions Identities

Details The Commutativity of Integrals of Motion for Quantum Spin Chains and Elliptic Functions Identities The Commutativity of Integrals of Motion for Quantum Spin Chains and Elliptic Functions Identities

2007-11-13

arxiv.org/abs/0711.1973v1

Regular and Chaotic Dynamics 13,19-26(2008)

Physics

Mathematical Physics

13 pages

Scientific paper

We prove the commutativity of the first two nontrivial integrals of motion
for quantum spin chains with elliptic form of the exchange interaction. We also
show thair linear independence for the numbers of spins larger than 4. As a
byproduct, we obtained several identities between elliptic Weierstrass
functions of three and four arguments.

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