Separation of variables for the classical and quantum Neumann model

Abstract

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 Schrödinger equation separates into one--dimensional equations belonging to the class of generalized Lamé differential equations.

16 pages

References in corpus (1)

• Quantum Inverse Scattering Method. Selected Topics

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