Solvable quantum field theories and polynomial conserved quantities for quantum nonlinear Schroedinger equation
Creators
- 1. Tsukuba Univ., Sakura, Ibaraki (Japan). Dept. of Physics
Description
The quantum version of the infinite set of polynomial conserved quantities for the Nonlinear Schroedinger equation in 1+1 dimensions is discussed. In the conventional formulation of the theory, which describes a quantum many particle system with a delta function potential, it is shown that an infinite set quantum polynomial commuting operators does not exist. However, by adopting a rather unconventional quantization method, we construct an infinite set of quantum polynomial commuting operators explicitly in a parallel way with the KdV and the MKdV equation cases discussed in a previous paper. Based on these results a new scheme of solvable quantum field theories is proposed. (author)
Availability note (English)
MF available from INIS under the Report Number.
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Additional details
Publishing Information
- Imprint Pagination
- 31 p.
- Report number
- RRK--86-46
INIS
- Country of Publication
- Japan
- Country of Input or Organization
- Japan
- INIS RN
- 18074453
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMMUTATION RELATIONS; INVERSE SCATTERING PROBLEM; KORTEWEG-DE VRIES EQUATION; NONLINEAR PROBLEMS; POLYNOMIALS; QUANTIZATION; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS