Given a potential $V$ and the associated Schrödinger operator -Δ+$V$, we consider the problem of providing sharp upper and lower bound on the energy of the operator. It is known that if for example $V$ or $V^{-1}$ enjoys suitable summability properties, the problem has a positive answer. In this paper we show that the corresponding isoperimetric-like inequalities can be improved by means of quantitative stability estimates.
Improved energy bounds for Schrödinger operators
BUTTAZZO, GIUSEPPE
2015-01-01
Abstract
Given a potential $V$ and the associated Schrödinger operator -Δ+$V$, we consider the problem of providing sharp upper and lower bound on the energy of the operator. It is known that if for example $V$ or $V^{-1}$ enjoys suitable summability properties, the problem has a positive answer. In this paper we show that the corresponding isoperimetric-like inequalities can be improved by means of quantitative stability estimates.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
bra_but_final_rev2.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
434.1 kB
Formato
Adobe PDF
|
434.1 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.