QUANTUM INTEGRABLE SYSTEM WITH MULTI-COMPONENTS IN TWO DIMENSIONS-Reference-Cited by-同舟云学术

QUANTUM INTEGRABLE SYSTEM WITH MULTI-COMPONENTS IN TWO DIMENSIONS

Published:2002-10-20 Issue:23n24 Volume:16 Page:871-883
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

YAN MU-LIN¹,ZHAO BAO-HENG²

Affiliation:

1. Center for Fundamental Physics, University of Science and Technology of China, Hefei, Anhui 230026, China

2. Department of Physics, Graduate School of the Chinese Academy of Science, Beijing 100039, China

Abstract

A quantum N-body problem with 2-component in (2 + 1) dimensions deduced from an integrable model in (2 + 1) dimensions is investigated. The Davey–Stewartson 1 (DS1) system9 is an integrable model in two dimensions. A quantum DS1 system with 2 color components in two dimensions has been formulated. This two-dimensional problem has been reduced to two one-dimensional many-body problems with 2 color components. The solutions of the two-dimensional problem under consideration has been constructed from the resulting problems in one dimension. For the latter with δ-function interactions and being solved by the Bethe–Yang ansatz, we introduce symmetrical and anti-symmetrical Young operators of the permutation group and obtain the exact solutions for the quantum DS1 system. The application of the solutions is discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798490200441X

Reference15 articles.

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