Ground state decay for Schrödinger operators with confining potentials

• Autorzy: Baraniewicz Miłosz

Identyfikatory

DOI

10.37190/0208-4147.00196

• Języki publikacji: EN

Abstrakty

EN

We give two-sided estimates of a ground state for Schrödinger operators with confining potentials. We propose a semigroup approach, based on resolvent and the Feynman-Kac formula, which leads to a new, rather short and direct proof. Our results take the sharpest form for slowly varying, radial and increasing potentials.

Słowa kluczowe

EN

eigenfunction; slowly varying potentials; Feynman--Kac formula; heat kernel; integral kernel; resolvent

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2024
• Tom: Vol. 44, Fasc. 2
• Strony: 267--277

Twórcy

autor

Baraniewicz Miłosz

• Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, 50-370 Wrocław, Poland

Bibliografia

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