Separation of variables for the classical and quantum Neumann model

Details Separation of variables for the classical and quantum Neumann model Separation of variables for the classical and quantum Neumann model

1992-01-16

arxiv.org/abs/hep-th/9201035v1

Nucl.Phys. B379 (1992) 321-339

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1016/0550-3213(92)90599-7

The method of separation of variables is shown to apply to both the classical
and quantum Neumann model. In the classical case this nicely yields the
linearization of the flow on the Jacobian of the spectral curve. In the quantum
case the Schr\"odinger equation separates into one--dimensional equations
belonging to the class of generalized Lam\'e differential equations.

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