Quantum mechanics of layers with a finite number of point perturbations

DOI10.1063/1.1431710zbMath1059.81063arXivmath-ph/0103030OpenAlexW3104576941MaRDI QIDQ4830733

K. Němcová, Pavel Exner

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0103030

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (5)

Magnetic layers with periodic point perturbations. ⋮ Temporally stable coherent states for a free magnetic Schrödinger operator ⋮ Straight quantum layer with impurities inducing resonances ⋮ Point interaction Hamiltonians in bounded domains ⋮ On the spectrum of curved planar waveguides

Cites Work

• Discrete magnetic Laplacian
• Point interactions in a strip
• Edge currents in the absence of edges
• Quasi-one-dimensional nanosystems in a uniform magnetic field: Explicitly solvable model
• The band structure of the general periodic Schrödinger operator with point interactions
• Wave chaos in singular quantum billiard

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