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Semiclassical Resolvent Estimates for Schrödinger Operators with Coulomb Singularities

✍ Scribed by François Castella; Thierry Jecko; Andreas Knauf

Publisher: Springer
Year: 2008
Tongue: English
Weight: 533 KB
Volume: 9
Category: Article
ISSN: 1424-0637
DOI: 10.1007/s00023-008-0372-x

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📜 SIMILAR VOLUMES

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✍ Xue Ping Wang 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 843 KB

Semiclassical resolvent estimates for Sc

Semiclassical resolvent estimates for Schrödinger matrix operators with eigenvalues crossing

✍ Thierry Jecko 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 294 KB

## Abstract For semiclassical Schrödinger 2×2–matrix operators, the symbol of which has crossing eigenvalues, we investigate the semiclassical Mourre theory to derive bounds __O__(__h__^−1^) (__h__ being the semiclassical parameter) for the boundary values of the resolvent, viewed as bounded operat

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Martin boundary for Schrödinger operators with singularity

✍ A. Boukricha; W. Hansen 📂 Article 📅 1994 🏛 Springer 🌐 English ⚖ 831 KB

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Kernel estimates for Schrödinger operators

✍ G. Metafune; D. Pallara; A. Rhandi 📂 Article 📅 2006 🏛 Springer 🌐 English ⚖ 200 KB

Semiclassical Asymptotics of Eigenvalues

Semiclassical Asymptotics of Eigenvalues for Schrödinger Operators with Magnetic Fields

✍ H. Matsumoto 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 663 KB

We consider Schrödinger operators with magnetic fields on a two-dimensional compact manifold or on \(\mathbf{R}^{2}\). The purpose is to study the semiclassical asymptotics of the eigenvalues by two different methods. We obtain some facts on the harmonic oscillators under uniform magnetic fields and