Tosio Kato’s work on non-relativistic quantum mechanics: part 1

Tosio Kato’s work on non-relativistic quantum mechanics: part 1
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DOI:
10.1007/s13373-018-0118-0
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发表时间:
2017-11
影响因子:
1.2
通讯作者:
B. Simon
B. Simon
中科院分区:
数学2区
文献类型:
--
作者:
B. Simon

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我们回顾了加藤托西奥在非相对论量子力学数学方面的工作,以及一些受此启发的研究。在这第一部分的主题包括分析和渐近特征值扰动理论,坦普尔加藤不等式,自伴性的结果,和二次形式,包括单调收敛定理。
We review the work of Tosio Kato on the mathematics of non-relativistic quantum mechanics and some of the research that was motivated by this. Topics in this first part include analytic and asymptotic eigenvalue perturbation theory, Temple–Kato inequality, self-adjointness results, and quadratic forms including monotone convergence theorems.