Symmetry of bound and antibound states in the semiclassical limit

DOI10.1007/s11005-007-0178-7zbMath1161.81430arXivmath-ph/0702083OpenAlexW3102503666MaRDI QIDQ1013596

Maciej Zworski, David Bindel

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0702083

zbMATH Keywords

nonlinear eigenvalue problemsquantum resonancesfinite elements methods

Mathematics Subject Classification ID

(S)-matrix theory, etc. in quantum theory (81U20) Resonance in context of PDEs (35B34) Numerical solutions to inverse eigenvalue problems (65F18) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (9)

On the resonances and eigenvalues for a 1D half-crystal with localised impurity ⋮ Quantum decay rates in chaotic scattering ⋮ Computing scattering resonances ⋮ Mathematical study of scattering resonances ⋮ A Double Scale Fast Algorithm for the Transient Evolution of a Resonant Tunneling Diode ⋮ Symmetry of bound and antibound states in the semiclassical limit for a general class of potentials ⋮ Localization Theorems for Nonlinear Eigenvalue Problems ⋮ Symmetry of bound and antibound states in the semiclassical limit ⋮ Decay of correlations for normally hyperbolic trapping

Uses Software

• LAPACK
• Matlab
• CLAPACK
• ARPACK

Cites Work

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• Symmetry of bound and antibound states in the semiclassical limit
• Distribution of poles for scattering on the real line
• Asymptotic distribution of resonances in one dimension
• Resonances in one dimension and Fredholm determinants
• Resonances for matrix Schrödinger operators.
• Semiclassical study of quantum scattering on the line
• Bounds on scattering poles in one dimension
• Bounds on complex eigenvalues and resonances
• Analytic properties of the scattering matrix
• On the location of the resonances for schrodinger
• LAPACK Users' Guide
• ARPACK Users' Guide
• Spectral Methods in MATLAB
• Inverse resonance scattering on the real line

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