Bound states in soft quantum layers
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Publication:6652952
DOI10.4171/PRIMS/60-4-4MaRDI QIDQ6652952
Publication date: 13 December 2024
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
Cites Work
- Title not available (Why is that?)
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- The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces
- On subharmonic functions and differential geometry in the large
- Existence of bound states for layers built over hypersurfaces in \(\mathbb R^{n+1}\)
- Generalised quantum waveguides
- Spectral asymptotics for resolvent differences of elliptic operators with \(\delta\) and \(\delta^{'}\)-interactions on hypersurfaces
- Instability results for the damped wave equation in unbounded domains
- Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces
- Dirichlet spectrum of the Fichera layer
- Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
- Spectral asymptotics of the Dirichlet Laplacian in a conical layer
- Nodal sets of thin curved layers
- Bound states in mildly curved layers
- Generalized interactions supported on hypersurfaces
- On the discrete spectrum of quantum layers
- Schrödinger operators with \(\delta\)-interactions supported on conical surfaces
- Effective Hamiltonians for constrained quantum systems
- Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
- Spectrum of Dirichlet Laplacian in a conical layer
- Discrete spectrum of interactions concentrated near conical surfaces
- Location of the essential spectrum in curved quantum layers
- On the Discrete Spectrum of Generalized Quantum Tubes
- Quantum layers over surfaces ruled outside a compact set
- Leaky Quantum Graphs: A Review
- Bound states due to a strong interaction supported by a curved surface
- Topologically nontrivial quantum layers
- Spectral transitions for Aharonov-Bohm Laplacians on conical layers
- Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
- A lower bound to the spectral threshold in curved quantum layers
- Spectral properties of soft quantum waveguides
- Soft quantum waveguides with an explicit cut-locus
- Soft quantum waveguides in three dimensions
- Lower bounds for the nodal length of eigenfunctions of the Laplacian
- Bound states in weakly deformed strips and layers.
- Bound states in curved quantum layers
Related Items (2)
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