𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic Series for the Ground State Energy of Schrödinger Operators

✍ Scribed by G.M. Graf; B. Simon


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
102 KB
Volume
112
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Asymptotic behavior of eigenvalues of Sc
✍ Christian Hainzl; Robert Seiringer 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 159 KB

## Abstract We study the eigenvalues of Schrödinger type operators __T__ + __λV__ and their asymptotic behavior in the small coupling limit __λ__ → 0, in the case where the symbol of the kinetic energy, __T__ (__p__), strongly degenerates on a non‐trivial manifold of codimension one (© 2010 WILEY‐V

Semi-Classical Asymptotic of Spectral Fu
✍ G. E. Karadzhov 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 466 KB

In this paper one obtains a result concerning the asymptotic behaviour of the spectral function on the diagonal for SCHRODINOER operators Ah = --A + V as h -+ 0. This asymptotic change the form on the energy level V ( x ) = A.

Asymptotic Dirichlet problem for the Sch
✍ Seok Woo Kim; Yong Hah Lee 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 111 KB

## Abstract In this paper, we consider the asymptotic Dirichlet problem for the Schrödinger operator on a Cartan–Hadamard manifold with suitably pinched curvature. With potentials satisfying a certain decay rate condition, we give the solvability of the asymptotic Dirichlet problem for the Schrödin

Controllability of the nonlinear Schrödi
✍ H. Lange; H. Teismann 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract Local exact controllability of the one‐dimensional NLS (subject to zero‐boundary conditions) with distributed control is shown to hold in a __H__^1^‐neighbourhood of the nonlinear ground state. The __Hilbert Uniqueness Method__ (__HUM__), due to Lions, is applied to the linear control p

A very accurate grid method for the solu
✍ F. T. Newman 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 188 KB 👁 1 views

An extension to the theory of Schrodinger equations has been made ẅhich enables the derivation of eigenvalues from a consideration of a very small part of geometric space. The concomitant unwanted continuum effects have been removed. The theory enables very convergent or ''superconvergent'' calculat