A remark on Krein's resolvent formula and boundary conditions
Mathematical Physics
2007-05-23 v1 Functional Analysis
math.MP
Abstract
We prove an analog of Krein's resolvent formula expressing the resolvents of self-adjoint extensions in terms of boundary conditions. Applications to quantum graphs and systems with point interactions are discussed.
Keywords
Cite
@article{arxiv.math-ph/0408021,
title = {A remark on Krein's resolvent formula and boundary conditions},
author = {Sergio Albeverio and Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:math-ph/0408021},
year = {2007}
}
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6 pages