Friedrichs operators as dual pairs and contact interactions (CROSBI ID 673905)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Antonić, Nenad ; Erceg, Marko ; Michelangeli, Alessandro
engleski
Friedrichs operators as dual pairs and contact interactions
The Friedrichs (1958) theory of positive symmetric systems of first order partial differential equations encompasses many standard equations of mathematical physics, irrespective of their type. This theory was recast in an abstract Hilbert space setting by Ern, Guermond and Caplain (2007), and by Antonić and Burazin (2010). In this work we make a further step, presenting a purely operator-theoretic description of abstract Friedrichs systems via the universal operator extension theory of dual pairs (Grubb, 1968). For a given Friedrichs system the existence of a boundary condition such that the problem is well-posed is shown, as well as a classification of all such boundary conditions. Within this framework we study self-adjoint (or even only closed) realisations of the Hamiltonians of contact interactions.
Abstract Friedrichs systems ; Point interaction Hamiltonians ; Grubb extension theory
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Podaci o prilogu
18-18.
2018.
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objavljeno
Podaci o matičnoj publikaciji
Mathematical Challenges in Quantum Mechanics 2018 - Programme
Correggi, Michele ; Finco, Domenico ; Panati, Gianluca ; Teta, Alessandro
Rim:
Podaci o skupu
Mathematical Challenges in Quantum Mechanics (MCQM 2018)
predavanje
19.02.2018-24.02.2018
Rim, Italija