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Soft quantum waveguides with an explicit cut-locus

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Publication:5874062
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DOI10.1088/1751-8121/abf05eOpenAlexW3138033072MaRDI QIDQ5874062

Sylwia Kondej, Jan Kříž, David Krejčiřík

Publication date: 10 February 2023

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

Full work available at URL: https://arxiv.org/abs/2007.10946


zbMATH Keywords

discrete eigenvaluescut-locussoft waveguide


Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)


Related Items

Soft quantum waveguides in three dimensions



Cites Work

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  • Asymptotic spectral analysis in colliding leaky quantum layers
  • Generalised quantum waveguides
  • The length of a cut locus on a surface and Ambrose's problem
  • Instability results for the damped wave equation in unbounded domains
  • Spectral analysis of a quantum system with a double line singular interaction
  • On the spectrum of curved planar waveguides
  • Geometrically induced spectrum in curved leaky wires
  • Effective Hamiltonians for Constrained Quantum Systems
  • Bound states in curved quantum waveguides
  • Leaky Quantum Graphs: A Review
  • A First Course in Sobolev Spaces
  • Spectral properties of soft quantum waveguides
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