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Stark resonances in a quantum waveguide with analytic curvature

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Publication:2960249
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DOI10.1088/1751-8113/49/49/495202zbMath1357.81087arXiv1603.07202OpenAlexW3101442613MaRDI QIDQ2960249

Philippe Briet, Mounira Gharsalli

Publication date: 8 February 2017

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

Full work available at URL: https://arxiv.org/abs/1603.07202

zbMATH Keywords

resonanceoperator theorySchrödiger operators


Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Resonance in context of PDEs (35B34) Quantum dots, waveguides, ratchets, etc. (81Q37)




Cites Work

  • Unnamed Item
  • Stark resonances in 2-dimensional curved quantum waveguides
  • A class of analytic perturbations for one-body Schrödinger Hamiltonians
  • Bound states in curved quantum waveguides
  • A quantum pipette
  • GENERAL ESTIMATES ON DISTORTED RESOLVENTS AND APPLICATION TO STARK HAMILTONIANS
  • CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
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