A ``hybrid plane with spin-orbit interaction

DOI10.1134/S1061920807040085zbMath1175.81092arXiv0705.2487MaRDI QIDQ1033740

Petr Šeba, Pavel Exner

Publication date: 10 November 2009

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

Full work available at URL: https://arxiv.org/abs/0705.2487

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (6)

A quantum hybrid with a thin antenna at the vertex of a wedge ⋮ Dynamics of an electron confined to a ``hybrid plane and interacting with a magnetic field ⋮ Computation of the unitary group for the Rashba spin–orbit coupled operator, with application to point-interactions ⋮ Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary ⋮ Point-like perturbation of Rashba Hamiltonian ⋮ Series expansion for the Fourier transform of a rational function in three dimensions

Cites Work

• Unnamed Item
• Resonance statistics in a microwave cavity with a thin antenna
• Quantum motion on a half-line connected to a plane
• Ballistic conductance of a quantum sphere
• Large gaps in point-coupled periodic systems of manifolds
• Scattering on compact manifolds with infinitely thin horns
• A remark on Krein's resolvent formula and boundary conditions
• Explicit Green functions for spin–orbit Hamiltonians

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