Quantum averaging II: Kolmogorov's algorithm

DOI10.1088/0305-4470/30/8/026zbMath0916.47058OpenAlexW2010774056MaRDI QIDQ4232155

Wolfgang Scherer

Publication date: 6 July 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/8/026

zbMATH Keywords

Rayleigh-Schrödinger perturbation theoryperturbations of selfadjoint operatorsKato-Rellich perturbation theoryKolmogorov's perturbation algorithm

Mathematics Subject Classification ID

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

Related Items (6)

Quantum averaging. III. Time-dependent systems ⋮ Magneto-dimensional resonance on curved surfaces ⋮ Logarithmic perturbation theory and some nonlinear pathological perturbations ⋮ New perturbation algorithms for time-dependent quantum systems. ⋮ Averaging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potential ⋮ Constructive semiclassical asymptotics of bound states of graphene in a constant magnetic field with small mass

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