On the Self-Adjointness of H+A∗+A
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چکیده
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Essential self - adjointness
1. Cautionary example 2. Criterion for essential self-adjointness 3. Examples of essentially self-adjoint operators 4. Appendix: Friedrichs' canonical self-adjoint extensions 5. The following has been well understood for 70-120 years, or longer, naturally not in contemporary terminology. The differential operator T = d 2 dx 2 on L 2 [a, b] or L 2 (R) is a prototypical natural unbounded operator...
متن کاملOn the Essential Self-Adjointness of Anti-Commutative Operators
In this article, linear operators satisfying anti-commutation relations are considered. It is proven that an anti-commutative type of the Glimm-Jaffe-Nelson commutator theorem follows.
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ژورنال
عنوان ژورنال: Mathematical Physics, Analysis and Geometry
سال: 2020
ISSN: 1385-0172,1572-9656
DOI: 10.1007/s11040-020-09359-x