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- Title
Non-Self-Adjointness of Operators with Small Diffusion.
- Authors
Albeverio, S.; Dobrokhotov, S. Yu.; Poteryakhin, M. A.
- Abstract
The article focuses on non-self-adjointness of operators with small diffusion. The question of whether the constructed (formal) asymptotic eigenfunctions and eigenvalues approximate some exact eigenfunctions and eigenvalues of the operator L turns out to be very nontrivial, and the answer to this question is still unknown. A similar question has been discussed for numerous problems of quantum and wave mechanics.
- Subjects
QUANTUM theory; WAVE mechanics; ELECTRODYNAMICS; EIGENVALUES; EIGENFUNCTIONS
- Publication
Mathematical Notes, 2005, Vol 78, Issue 5/6, p874
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0192-y