Operator domains and self-adjoint operators

Operator domains and self-adjoint operators

To construct a self-adjoint operator the domain of the operator has to be specified by imposing an appropriate boundary condition or conditions on the wave functions on which the operator acts. We illustrate situations for which different boundary conditions lead to different operators and hence to...

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Veröffentlicht in:American journal of physics 2004-02, Vol.72 (2), p.203-213
Hauptverfasser: Araujo, Vanilse S., Coutinho, F. A. B., Fernando Perez, J.
Format: Artikel
Sprache:eng
Schlagworte:
Physics
Quantum theory
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Beschreibung
Zusammenfassung:To construct a self-adjoint operator the domain of the operator has to be specified by imposing an appropriate boundary condition or conditions on the wave functions on which the operator acts. We illustrate situations for which different boundary conditions lead to different operators and hence to different physics.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.1624111