Advances in quantum waveguide dynamics, with applications to physical and biological nanostructures

DOI10.1017/S0004972700031348zbMath0893.35108OpenAlexW2127250576WikidataQ113858149 ScholiaQ113858149MaRDI QIDQ4380531

I. J. Clark

Publication date: 4 May 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700031348

zbMATH Keywords

Hamiltonianenergy spectrumLaplace-Beltrami operator

Mathematics Subject Classification ID

Quantum optics (81V80) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Biophysics (92C05)

Related Items (1)

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

Cites Work

• Bound states in curved quantum waveguides
• Effective potentials of quantum strip waveguides and their dependence upon torsion
• Bound states in tubular quantum waveguides with torsion
• Bound states in quantum waveguides of a slowly decaying curvature
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS

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