具有吸引作用的量子非线性Schrodinger模型的反散射变换(英文)

中国科学院大学学报 ›› 2000, Vol. 17 ›› Issue (1): 20-25.

具有吸引作用的量子非线性Schrodinger模型的反散射变换(英文)

赵保恒

中国科学技术大学研究生院物理教学部, 北京, 100039

收稿日期:2000-10-27 发布日期:2000-01-15

Inverse Scattering Transfo Rm For The Quantum Nonlinear Schrodinger Model With Attractive Interaction

Zhao Bao-heng

Department of Physics, Graduate School, University of Science and Technology of China, Beijing 100039

Received:2000-10-27 Published:2000-01-15
Supported by:
The project is supported by the special program of NSFC(19377103)

摘要/Abstract

摘要：

本文构造出具有吸引作用的量子非线性Schrodinger模型完备的Gelfane Levitan方程组。我们避免了在方程中引进过去文献中所用的依赖坐标参量的算子或病态定义的算子。从而所得的非线性Schrodinger模型的Heisenberg场算子完全由良好定义的散射数据算子确定。

关键词: 量子非线性Schrodinger模型, Gelfand-Levitan方程, 束缚态

Abstract:

The system of the Gelfand-Levitan equations for the quantum nonlinear Schrodinger model with attractive interaction is obtained, in which we have avoided introducing ill-defined operators or operators depending on coordinate parameter as those in early works. The Heisenberg field operator of the nonlinear Schrodinger model is completely determined by the well-de-fined scattering data operators.

Key words: quantum nonlinear Schrodinger model, Gelfan-Levitan equations, bound states

赵保恒. 具有吸引作用的量子非线性Schrodinger模型的反散射变换(英文)[J]. 中国科学院大学学报, 2000, 17(1): 20-25.

Zhao Bao-heng. Inverse Scattering Transfo Rm For The Quantum Nonlinear Schrodinger Model With Attractive Interaction[J]. , 2000, 17(1): 20-25.