Effective Hamiltonians for atoms in very strong magnetic fields

DOI10.1063/1.2178155zbMath1111.81054arXivmath-ph/0502050OpenAlexW2069453949MaRDI QIDQ3441629

Pierre Duclos, R. G. M. Brummelhuis

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0502050

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)

Related Items (8)

On the bound states of Schrödinger operators with δ-interactions on conical surfaces ⋮ Atoms confined by very thin layers ⋮ The magnetic two-centre problem: stability and critical bonding ⋮ Functional difference equations and eigenfunctions of a Schrödinger operator with δ ′ −interaction on a circular conical surface ⋮ Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\) ⋮ Optimization of the lowest eigenvalue for leaky star graphs ⋮ Ground state of the polaron hydrogenic atom in a strong magnetic field ⋮ Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane

Cites Work

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• Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions
• THE SPECTRUM OF A HYDROGEN ATOM IN AN INTENSE MAGNETIC FIELD
• On the ordering of energy levels in homogeneous magnetic fields

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