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Pregled bibliografske jedinice broj: 975378

On contact interactions realised as Friedrichs systems


Erceg, Marko; Michelangeli, Alessandro
On contact interactions realised as Friedrichs systems // Complex Analysis and Operator Theory, 13 (2019), 3; 703-736 doi:10.1007/s11785-018-0787-4 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 975378 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On contact interactions realised as Friedrichs systems

Autori
Erceg, Marko ; Michelangeli, Alessandro

Izvornik
Complex Analysis and Operator Theory (1661-8254) 13 (2019), 3; 703-736

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
We realise the Hamiltonians of contact interactions in quantum mechanics within the framework of abstract Friedrichs systems. In particular, we show that the construction of the self-adjoint (or even only closed) operators of contact interaction supported at a fixed point can be associated with the construction of the bijective realisations of a suitable pair of abstract Friedrich operators. In this respect, the Hamiltonians of contact interaction provide novel examples of abstract Friedrich systems.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-9780 - Metode slabih convergencija i primjene (WeConMApp) (Antonić, Nenad, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Zagrebu

Profili:

Avatar Url Marko Erceg (autor)

Citiraj ovu publikaciju:

Erceg, Marko; Michelangeli, Alessandro
On contact interactions realised as Friedrichs systems // Complex Analysis and Operator Theory, 13 (2019), 3; 703-736 doi:10.1007/s11785-018-0787-4 (međunarodna recenzija, članak, znanstveni)
Erceg, M. & Michelangeli, A. (2019) On contact interactions realised as Friedrichs systems. Complex Analysis and Operator Theory, 13 (3), 703-736 doi:10.1007/s11785-018-0787-4.
@article{article, author = {Erceg, Marko and Michelangeli, Alessandro}, year = {2019}, pages = {703-736}, DOI = {10.1007/s11785-018-0787-4}, keywords = {Abstract Friedrichs systems, Point interaction Hamiltonians, Grubb extension theory}, journal = {Complex Analysis and Operator Theory}, doi = {10.1007/s11785-018-0787-4}, volume = {13}, number = {3}, issn = {1661-8254}, title = {On contact interactions realised as Friedrichs systems}, keyword = {Abstract Friedrichs systems, Point interaction Hamiltonians, Grubb extension theory} }
@article{article, author = {Erceg, Marko and Michelangeli, Alessandro}, year = {2019}, pages = {703-736}, DOI = {10.1007/s11785-018-0787-4}, keywords = {Abstract Friedrichs systems, Point interaction Hamiltonians, Grubb extension theory}, journal = {Complex Analysis and Operator Theory}, doi = {10.1007/s11785-018-0787-4}, volume = {13}, number = {3}, issn = {1661-8254}, title = {On contact interactions realised as Friedrichs systems}, keyword = {Abstract Friedrichs systems, Point interaction Hamiltonians, Grubb extension theory} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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