Published June 1989
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On the quantum inverse problem for a new type of nonlinear Schroedinger equation for Alfven waves in plasma
Creators
- 1. International Centre for Theoretical Physics, Trieste (Italy)
- 2. Jadavpur Univ., Calcutta (India). Dept. of Physics
Description
The nonlinear Alfven waves are governed by the Vector Derivative nonlinear Schroedinger (VDNLS) equation, which for parallel or quasi parallel propagation reduces to the Derivative Nonlinear Schroedinger (DNLS) equation for the circularly polarized waves. We have formulated the Quantum Inverse problem for a new type of Nonlinear Schroedinger Equation which has many properties similar to the usual NLS problem but the structure of classical and quantum R matrix are distinctly different. The commutation rules of the scattering data are obtained and the Algebraic Bethe Ansatz is formulated to derive the eigenvalue equation for the energy of the excited states. 10 refs
Availability note (English)
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20081921.pdf
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Additional details
Publishing Information
- Imprint Pagination
- 12 p.
- Report number
- IC--89/131
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 20081921
- Subject category
- S70: PLASMA PHYSICS AND FUSION TECHNOLOGY; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALFVEN WAVES; COMMUTATION RELATIONS; EIGENSTATES; HAMILTONIANS; INVERSE SCATTERING PROBLEM; NONLINEAR PROBLEMS; QUANTIZATION; R MATRIX; SCHROEDINGER EQUATION; YANG-FELDMAN FORMALISM
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; HYDROMAGNETIC WAVES; MATHEMATICAL OPERATORS; MATRICES; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS