| 具有吸引作用的量子非线性Schrodinger模型的反散射变换(英文) |
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| 作者姓名： | 赵保恒 |
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| 作者单位： | 中国科学技术大学研究生院物理教学部, 北京, 100039 |
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| 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。
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| 关 键 词： | 量子非线性Schrodinger模型 Gelfand-Levitan方程 束缚态 |
| 收稿时间： | 2000-10-27 |
Inverse Scattering Transfo Rm For The Quantum Nonlinear Schrodinger Model With Attractive Interaction |
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| Authors: | Zhao Bao-heng |
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| Institution: | Department of Physics, Graduate School, University of Science and Technology of China, Beijing 100039 |
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| 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. |
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| Keywords: | quantum nonlinear Schrodinger model Gelfan-Levitan equations bound states |
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