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Schrödinger operators in the twentieth century

Barry Simon

Journal of Mathematical Physics · 2000 · 134 citations · 201 references

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Abstract

This paper reviews the past fifty years of work on spectral theory and related issues in nonrelativistic quantum mechanics.

References

201

On the eigenfunctions of many‐particle systems in quantum mechanics

Tosio Kato · Communications on Pure and Applied Mathematics · 1957 · 2K citations

, , +13

Energy levels arising from resonant two-body forces in a three-body system

V.N. Efimov · Physics Letters B · 1970 · 1.5K citations

, , +13

Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions

Erik Balslev, J. M. Combes · Communications in Mathematical Physics · 1971 · 1.4K citations

, , +16

A class of analytic perturbations for one-body Schrödinger Hamiltonians

José Edgar Madriz Aguilar, J. M. Combes · Communications in Mathematical Physics · 1971 · 1.2K citations

, , +14

Inverse scattering on the line

Percy Deift, Eugene Trubowitz · Communications on Pure and Applied Mathematics · 1979 · 924 citations

, , +4