A remark on Krein's resolvent formula and boundary conditions
Abstract
We prove an analogue 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.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- June 2005
- DOI:
- 10.1088/0305-4470/38/22/010
- arXiv:
- arXiv:math-ph/0408021
- Bibcode:
- 2005JPhA...38.4859A
- Keywords:
-
- 46N50 47A06 47A10;
- Mathematical Physics;
- Functional Analysis;
- 46N50;
- 47A06;
- 47A10
- E-Print:
- 6 pages