Impurity-bound excitons in one and two dimensions

DOI10.4171/JST/322zbMath1465.35135arXiv1807.01523OpenAlexW3096461905MaRDI QIDQ2662235

Hynek Kovařík, Thomas Garm Pedersen, Horia D. Cornean

Publication date: 9 April 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01523

zbMATH Keywords

three-body Schrödinger operatorsnon-existence of three-body bound states

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Bound states of the magnetic Schrödinger operator
• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Semi-classical analysis for the Schrödinger operator and applications
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Geometric methods in multiparticle quantum systems
• Stability of singlet and triplet trions in carbon nanotubes
• On the existence of impurity bound excitons in one-dimensional systems with zero range interactions

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