Geometrically induced spectral properties of soft quantum waveguides and layers
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Publication:6632526
DOI10.1142/s0129055x23600036MaRDI QIDQ6632526
Publication date: 4 November 2024
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Quantum dots, waveguides, ratchets, etc. (81Q37)
Cites Work
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- A spectral isoperimetric inequality for cones
- Bound states in a locally deformed waveguide: The critical case
- Optimization of the lowest eigenvalue of a soft quantum ring
- Existence of bound states for layers built over hypersurfaces in \(\mathbb R^{n+1}\)
- A Hardy inequality in twisted waveguides
- Corrections to the classical behavior of the number of bound states of Schrödinger operators
- Spectral asymptotics for \(\delta\)-interactions on sharp cones
- Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces
- Dirichlet spectrum of the Fichera layer
- Bound states of a pair of particles on the half-line with a general interaction potential
- Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
- Quantum waveguides
- Inequalities for means of chords, with application to isoperimetric problems
- Determining spectra in quantum theory.
- Geometrically induced spectrum in curved leaky wires
- On the existence of bound states in asymmetric leaky wires
- On the discrete spectrum of quantum layers
- Schrödinger operators withδ-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
- Approximation of plane curves by circular arcs
- THE EFFECTIVE HAMILTONIAN IN CURVED QUANTUM WAVEGUIDES UNDER MILD REGULARITY ASSUMPTIONS
- Discrete spectrum of interactions concentrated near conical surfaces
- Location of the essential spectrum in curved quantum layers
- Gap asymptotics in a weakly bent leaky quantum wire
- On geometric perturbations of critical Schrödinger operators with a surface interaction
- There is More than One Way to Frame a Curve
- Trapped modes in acoustic waveguides
- Weakly coupled bound states in quantum waveguides
- Sur les resonances de l'operateur de dirichlet dans un tube
- Bound states due to a strong interaction supported by a curved surface
- Binding and Scattering in Two-Dimensional Systems
- An optimization problem for finite point interaction families
- Scattering of particles bounded to an infinite planar curve
- Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
- Spectra of soft ring graphs
- Spectral properties of soft quantum waveguides
- Soft quantum waveguides with an explicit cut-locus
- Soft quantum waveguides in three dimensions
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