Perturbation theory of Schrödinger operators in infinitely many coupling parameters

DOI10.1088/0305-4470/32/43/307zbMath0965.81015arXivmath-ph/9901021OpenAlexW3104622692MaRDI QIDQ4485382

Anja Schlömerkemper, Manfred Requardt

Publication date: 12 June 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9901021

zbMATH Keywords

perturbation theorySchrödinger operatorsresolvent setself-adjointnessStummel classanalytic families in the sense of KatoBanach space of parametersholomorphy in Banach spaceKato Rellich theoremSchrödinger operator domain as a Banach space

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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