Existence of propagators for time-dependent Coulomb-like potentials

DOI10.1216/RMJ-2019-49-7-2347zbMath1447.35285arXiv1703.06166MaRDI QIDQ2288247

Eric Stachura

Publication date: 17 January 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06166

zbMATH Keywords

Fourier transformhydrogen atomDyson seriesRunge-Gross theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Perturbations in context of PDEs (35B20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Energy spectra and asymptotic laws of the radial screened Coulomb potential

Cites Work

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• One-dimensional quasi-exactly solvable Schrödinger equations
• A characterization of dilation-analytic potentials and vectors
• Time-dependent density functional theory
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Integration of the equation of evolution in a Banach space
• Toward the theory of the Yukawa potential
• Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability

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