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Some Exactly Solvable Models in Quantum Mechanics and the Low Energy Expansions

机译：量子力学和低能量扩张中的一些精确可解模型

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摘要

We give an overview of recent results on exactly solvable models in quantum mechanics. In particular we discuss point interactions located at finitely or infinitely many centers, in one and three dimensions. Results about the resolvent, energy eigenvalues and resonances, scattering quantities as well as eigenfunctions and corresponding low energy expansions are mentioned, with particular attention to the case of three-dimensional crystals. (ERA citation 10:029420)

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Albeverio, S.; Hoeegh-Krohn, R.; Holden, H.; Gesztesy, F.;
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年度 1985
页码 1-21
总页数 21
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Quantum Mechanics; Eigenfunctions; Eigenvalues; Mathematical Models; Resonance; Scattering;

机译：量子力学;本征函数;特征值;数学模型;共振;散射;

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Some Exactly Solvable Models in Quantum Mechanics and the Low Energy Expansions

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