Green's functions for the Schrödinger operator with periodic potential

DOI10.1016/0022-1236(88)90077-8zbMath0687.35011OpenAlexW1996488641MaRDI QIDQ1262999

Carolyn Schroeder

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90077-8

zbMATH Keywords

Green's functionexponential behavior

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Asymptotic behavior of solutions to PDEs (35B40) Fundamental solutions to PDEs (35A08) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Continuity results and estimates for the Lyapunov exponent of Brownian motion in stationary potential ⋮ A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential ⋮ Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients. ⋮ Large deviations for Brownian motion in a random potential ⋮ Quenched Free Energy and Large Deviations for Random Walks in Random Potentials

Cites Work

• Regularity and decay of lattice Green's functions
• On general minimax theorems
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
• A theorem of the Phragmen-Lindelöf type for second-order elliptic operators
• Asymptotic evaluation of certain markov process expectations for large time, I
• On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle
• On the principal eigenvalue of second-order elliptic differential operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item