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A new estimate for the ground state energy of Schrdinger operators

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83528

Title: A new estimate for the ground state energy of Schrdinger operators
Authors: Arai, A. Browse this author
Issue Date: 1-May-1997
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

Submitter: 数学紀要登録作業用

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