Trace Asymptotics for Fractional Schrodinger Operators

2012/09/19 by Valverde, Luis Acuna · 1 citation
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1209.4369

Abstract

This paper proves an analogue of a result of Banuelos and Sa Barreto on the asymptotic expansion for the trace of Schrodinger operators on \R^d when the Laplacian Δ, which is the generator of the Brownian motion, is replaced by the non-local integral operator Δ^α/2, 0

Cited by

• An Algebraic-Recursive Approach to Generate Higher-Order Symmetry Operators for Schrödinger and Klein-Gordon equations

Related

• Heat content and small time asymptotics for Schrödinger operators on R^d
• Regularized traces and Taylor expansions for the heat semigroup
• Spectral Asymptotics for Fractional Laplacians
• On the well-posedness of time-space fractional Schrödinger equation on ℝ^d
• Dispersive estimates for time and space fractional Schrödinger equations