Published July 20, 1992
| Version v1
Journal article
Separation of variables for the classical and quantum Neumann model
Description
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 of Schroedinger euqation separates into one-dimensional equations belonging to the class of generalized Lame differential equations. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 379
- Journal Issue
- 1/2
- Journal Page Range
- p. 321-339.
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 24003200
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; ANGULAR MOMENTUM OPERATORS; CLASSICAL MECHANICS; COMMUTATION RELATIONS; EQUATIONS OF MOTION; HAMILTON-JACOBI EQUATIONS; HAMILTONIAN FUNCTION; HAMILTONIANS; HARMONIC OSCILLATOR MODELS; HARMONIC OSCILLATORS; JACOBIAN FUNCTION; LINEAR MOMENTUM OPERATORS; MANY-BODY PROBLEM; MANY-DIMENSIONAL CALCULATIONS; NONLINEAR PROBLEMS; PHASE SPACE; POSITION OPERATORS; QUANTIZATION; QUANTUM MECHANICS; QUASILINEAR PROBLEMS; SCHROEDINGER EQUATION; SEMICLASSICAL APPROXIMATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; WAVE EQUATIONS