On the existence of impurity bound excitons in one-dimensional systems with zero range interactions

DOI10.1063/1.4983921zbMath1372.82043arXiv1701.04302OpenAlexW2577159032MaRDI QIDQ5738693

Hynek Kovařík, Jonas Have, Thomas Garm Pedersen, Horia D. Cornean

Publication date: 12 June 2017

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

Full work available at URL: https://arxiv.org/abs/1701.04302

zbMATH Keywords

particle systemsquantum particlezero-range interaction

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of semiconductors (82D37) Perturbation theories for operators and differential equations in quantum theory (81Q15) Statistical mechanics of solids (82D20)

Related Items (3)

Impurity-bound excitons in one and two dimensions ⋮ Optimization of the lowest eigenvalue for leaky star graphs ⋮ Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane

Cites Work

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• Analytical models of optical response in one-dimensional semiconductors
• Self-adjoint extensions of Coulomb systems in 1, 2 and 3 dimensions
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Fundamental solution of the heat and Schrödinger equations with point interaction
• Stability of singlet and triplet trions in carbon nanotubes
• Mathematical predominance of Dirichlet condition for the one-dimensional Coulomb potential
• H₂molecule in strong magnetic fields
• Stability of three unit charges: Necessary conditions
• The functional–analytic versus the functional–integral approach to quantum Hamiltonians: The one-dimensional hydrogen atoma)
• The one-dimensional Schrödinger–Coulomb operator with definite parity

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