A simplifying transformation for the Laplace-Beltrami operator in curvilinear coordinates

DOI10.1016/S0893-9659(98)00184-0zbMath0937.35027OpenAlexW1999455127MaRDI QIDQ1808542

I. J. Clark

Publication date: 15 June 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00184-0

zbMATH Keywords

perturbation methodsquantum waveguides

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Bound states in curved quantum waveguides
• Effective potentials of quantum strip waveguides and their dependence upon torsion
• Advances in quantum waveguide dynamics, with applications to physical and biological nanostructures
• Bound states in tubular quantum waveguides with torsion
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
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