Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator

DOI10.1215/S0012-7094-94-07619-9zbMath0815.60056OpenAlexW2129112767MaRDI QIDQ1345241

László Erdős

Publication date: 30 June 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07619-9

zbMATH Keywords

Brownian bridgestochastic oscillatory integralsspectral estimates for the Pauli operatorspinless magnetic Schrödinger operator

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (6)

CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS ⋮ Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes ⋮ Optimal heat kernel estimates for Schrödinger operators with magnetic fields in two dimensions ⋮ Magnetic Lieb-Thirring inequalities ⋮ Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators ⋮ Dia- and paramagnetism for nonhomogeneous magnetic fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The short time asymptotics of the traces of the heat kernels for the magnetic Schrödinger operators
• Ground-state density of the Pauli operator in the large field limit
• Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
• Lower bounds for the spectra of Schrödinger operators with magnetic fields
• Magnetic Lieb-Thirring inequalities
• Schrödinger semigroups

This page was built for publication: Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator