A remark on Krein's resolvent formula and boundary conditions

Details A remark on Krein's resolvent formula and boundary conditions A remark on Krein's resolvent formula and boundary conditions

2004-08-12

arxiv.org/abs/math-ph/0408021v1

J. Phys. A: Math. Gen. 38 (2005) 4859-4864

Physics

Mathematical Physics

6 pages

Scientific paper

10.1088/0305-4470/38/22/010

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.

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