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Spectral Theory in Mathematical Physics

This cluster of papers focuses on the spectral theory and properties of differential operators, particularly Schrödinger operators, on various structures such as quantum graphs and thin manifolds. It explores topics such as localization, inverse spectral problems, Anderson localization, scattering theory, and Weyl–Titchmarsh theory. The papers also delve into eigenvalue estimates and applications to quantum chaos and universal spectral statistics.

68.5K works worldwide551.9K citations
Spectral TheoryDifferential OperatorsQuantum GraphsLocalizationSchrödinger OperatorsInverse Spectral ProblemsAnderson LocalizationScattering TheoryWeyl–Titchmarsh TheoryEigenvalue Estimates

Journals publishing in this area

1Proceedings of the American Mathematical Society cover
Proceedings of the American Mathematical Society
ISSN 0002-99392,139 articles in this topic
170h-index
2Journal of Mathematical Physics cover
Journal of Mathematical Physics
ISSN 0022-24882,127 articles in this topic
273h-index
3Journal of Mathematical Analysis and Applications cover
Journal of Mathematical Analysis and Applications
ISSN 0022-247X2,120 articles in this topic
235h-index
4
Communications in Mathematical Physics
ISSN 0010-36161,632 articles in this topic
316h-index
5Transactions of the American Mathematical Society cover
Transactions of the American Mathematical Society
ISSN 0002-99471,090 articles in this topic
264h-index
6Journal of Physics A Mathematical and General cover
Journal of Physics A Mathematical and General
ISSN 0305-4470816 articles in this topic
217h-index