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A new estimate for the ground state energy of Schrdinger operators
Title: | A new estimate for the ground state energy of Schrdinger operators |
Authors: | Arai, A. Browse this author |
Issue Date: | 1-May-1997 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 382 |
Start Page: | 1 |
End Page: | 12 |
Abstract: | A new estimate for the ground state energy of Schrodinger operators on 2 L (Rn) (n 2: 1) is presented. As a corollary, it is shown that the ground state energy of the Schrodinger operator with a scalar potential V is more than the classical lower bound ess.inf xeRn V( x) if V is essentially bounded from below in a certain manner ( enhancement of the ground state energy due to quantization). As an application, it is proven that the ground state energy of the Hamiltonian of the hydrogen-like atom is enhanced under a class of perturbations given by scalar potentials (vanishing at infinity). |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69132 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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