Napredna pretraga

Pregled bibliografske jedinice broj: 989793

Friedrichs operators as dual pairs and contact interactions


Antonić, Nenad; Erceg, Marko; Michelangeli, Alessandro
Friedrichs operators as dual pairs and contact interactions // Mathematical Challenges in Quantum Mechanics 2018 - Programme / Correggi, Michele ; Finco, Domenico ; Panati, Gianluca ; Teta, Alessandro (ur.).
Rim, 2018. str. 18-18 (predavanje, međunarodna recenzija, sažetak, znanstveni)


Naslov
Friedrichs operators as dual pairs and contact interactions

Autori
Antonić, Nenad ; Erceg, Marko ; Michelangeli, Alessandro

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Mathematical Challenges in Quantum Mechanics 2018 - Programme / Correggi, Michele ; Finco, Domenico ; Panati, Gianluca ; Teta, Alessandro - Rim, 2018, 18-18

Skup
Mathematical Challenges in Quantum Mechanics

Mjesto i datum
Rim, Italija, 19-24.02.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Abstract Friedrichs systems ; Point interaction Hamiltonians ; Grubb extension theory

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-9780 - Metode slabih convergencija i primjene (Nenad Antonić, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Citiraj ovu publikaciju

Antonić, Nenad; Erceg, Marko; Michelangeli, Alessandro
Friedrichs operators as dual pairs and contact interactions // Mathematical Challenges in Quantum Mechanics 2018 - Programme / Correggi, Michele ; Finco, Domenico ; Panati, Gianluca ; Teta, Alessandro (ur.).
Rim, 2018. str. 18-18 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Antonić, N., Erceg, M. & Michelangeli, A. (2018) Friedrichs operators as dual pairs and contact interactions. U: Correggi, M., Finco, D., Panati, G. & Teta, A. (ur.)Mathematical Challenges in Quantum Mechanics 2018 - Programme.
@article{article, year = {2018}, pages = {18-18}, keywords = {Abstract Friedrichs systems, Point interaction Hamiltonians, Grubb extension theory}, title = {Friedrichs operators as dual pairs and contact interactions}, keyword = {Abstract Friedrichs systems, Point interaction Hamiltonians, Grubb extension theory}, publisherplace = {Rim, Italija} }