Strong curvature effects in Neumann wave problems

DOI10.1063/1.4745856zbMath1278.78003OpenAlexW1975919436MaRDI QIDQ2872248

A. Pors, Jens Gravesen, Morten Willatzen

Publication date: 14 January 2014

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

Full work available at URL: https://orbit.dtu.dk/en/publications/9991f9d4-4940-4f0b-b733-4d207d99a3fb

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Antennas, waveguides in optics and electromagnetic theory (78A50) Quantum waveguides, quantum wires (82D77) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• Separable Boundary‐Value Problems in Physics
• Schrödinger problems for surfaces of revolution—the finite cylinder as a test example
• Bound states in curved quantum waveguides
• Quantum-Mechanical Particle Confined to Surfaces of Revolution – Truncated Cone and Elliptic Torus Case Studies

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