EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 21

Radial Functions and Regularity of Solutions to the Schrödinger Equation.

Elena Prestini (1990)

Monatshefte für Mathematik

Recent results on Lieb-Thirring inequalities

Ari Laptev, Timo Weidl (2000)

Journées équations aux dérivées partielles

We give a survey of results on the Lieb-Thirring inequalities for the eigenvalue moments of Schrödinger operators. In particular, we discuss the optimal values of the constants therein for higher dimensions. We elaborate on certain generalisations and some open problems as well.

Regularizing estimates for Schrödinger and wave equations

Alberto Ruiz (1993)

Journées équations aux dérivées partielles

Remarks on essential self-adjointness of Schrödinger operators with singular electrostatic potentials.

Christian G. Simader (1992)

Journal für die reine und angewandte Mathematik

Remarks on the non self-adjoint Schrödinger operator

Donato Fortunato (1979)

Commentationes Mathematicae Universitatis Carolinae

Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II

Colin Guillarmou, Andrew Hassell (2009)

Annales de l’institut Fourier

Let $M^{\circ}$ be a complete noncompact manifold of dimension at least 3 and $g$ an asymptotically conic metric on $M^{\circ}$ , in the sense that $M^{\circ}$ compactifies to a manifold with boundary $M$ so that $g$ becomes a scattering metric on $M$ . We study the resolvent kernel ${(P + k^{2})}^{- 1}$ and Riesz transform $T$ of the operator $P = Δ_{g} + V$ , where $Δ_{g}$ is the positive Laplacian associated to $g$ and $V$ is a real potential function smooth on $M$ and vanishing at the boundary.In our first paper we assumed that $P$ has neither zero modes nor a zero-resonance and showed...

Resolvent estimates for scalar fields with electromagnetic perturbation.

Tarulli, Mirko (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Resolvent estimates for Schrödinger operators in L (R ) and the theory of exponentially bounded C-semigroups.

M.H.H. Pang (1990)

Semigroup forum

Resonance functions of two-body Schrödinger operators

Erik Balslev, Erik Skibsted (1988)

Journées équations aux dérivées partielles

Resonance theory for periodic Schrödinger operators

Christian Gérard (1990)

Bulletin de la Société Mathématique de France

Resonance theory of two-body Schrödinger operators

E. Balslev, E. Skibsted (1989)

Annales de l'I.H.P. Physique théorique

Resonances and Spectral Shift Function near the Landau levels

Jean-François Bony, Vincent Bruneau, Georgi Raikov (2007)

Annales de l’institut Fourier

We consider the 3D Schrödinger operator $H = H_{0} + V$ where $H_{0} = {(- i \nabla - A)}^{2} - b$ , $A$ is a magnetic potential generating a constant magneticfield of strength $b > 0$ , and $V$ is a short-range electric potential which decays superexponentially with respect to the variable along the magnetic field. We show that the resolvent of $H$ admits a meromorphic extension from the upper half plane to an appropriate Riemann surface $ℳ$ , and define the resonances of $H$ as the poles of this meromorphic extension. We study their distribution near any fixed...