The semi-classical limit with a delta potential

DOI10.1007/s10231-020-01002-4zbMath1460.81031arXiv1907.05801OpenAlexW3034711123MaRDI QIDQ2658530

Andrea Posilicano, Claudio Cacciapuoti, Davide Fermi

Publication date: 23 March 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05801

zbMATH Keywords

scattering theorycoherent statessemiclassical dynamicsdelta-interactions

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Scattering theory of linear operators (47A40) Dual, triple, etc., integral and series equations (45F10)

Related Items (1)

The semi-classical limit with a delta-prime potential

Cites Work

• Coherent states and applications in mathematical physics.
• Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph
• Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces
• Explicit time-dependent Schrodinger propagators
• One-Parameter Semigroups for Linear Evolution Equations
• A Mathematical Primer on Quantum Mechanics
• A global existence theorem for a nonlinear system and the defect index of a linear operator
• A Krein-like formula for singular perturbations of self-adjoint operators and applications
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