A new estimate for the ground state energy of Schrdinger operators

Arai, A.

Hokkaido University Preprint Series in Mathematics, 1997, 382, 1-12

Permalink : https://doi.org/10.14943/83528

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DOI	https://doi.org/10.14943/83528
URI	https://hdl.handle.net/2115/69132
タイトル	A new estimate for the ground state energy of Schrdinger operators
著者	著者名 Arai, A.
言語	英語
発行日	1997-05-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	382
ページ	1-12
抄録	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).
資源タイプ	紀要論文
出版タイプ	Version of Record