Resolvents of self-adjoint extensions with mixed boundary conditions
Functional Analysis
2011-11-10 v2 Mathematical Physics
math.MP
Abstract
We prove a variant of Krein's resolvent formula expressing the resolvents of self-adjoint extensions through the associated boundary conditions. Applications to solvable quantum-mechanical problems are discussed.
Keywords
Cite
@article{arxiv.math/0412431,
title = {Resolvents of self-adjoint extensions with mixed boundary conditions},
author = {Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:math/0412431},
year = {2011}
}
Comments
15 pages, rewritten almost completely