Pregled bibliografske jedinice broj: 1104998
Perturbation of eigenvalues of the Klein-Gordon operators
Perturbation of eigenvalues of the Klein-Gordon operators // Revista matemática complutense, 33 (2020), 2; 557-581 doi:10.1007/s13163-019-00321-2 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1104998 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Perturbation of eigenvalues of the Klein-Gordon operators
Autori
Nakić, Ivica ; Veselić, Krešimir
Izvornik
Revista matemática complutense (1139-1138) 33
(2020), 2;
557-581
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Klein-Gordon equation ; Hamiltonian ; Perturbation theory ; Spectral operators
Sažetak
We prove inclusion theorems for both spectra and essential spectra as well as two-sided bounds for isolated eigenvalues for Klein-Gordon type Hamiltonian operators. We first study operators of the form JG, where J, G are selfadjoint operators on a Hilbert space, J=J*=J-1 and G is positive definite and then we apply these results to obtain bounds of the Klein-Gordon eigenvalues under the change of the electrostatic potential. The developed general theory allows applications to some other instances, as e.g. the Sturm-Liouville problems with indefinite weight.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-9345 - Matematičko modeliranje, analiza i računanje s primjenama na kompleksne mehaničke sustave (MMACACMS) (Drmač, Zlatko, HRZZ - 2013-11) ( CroRIS)
HRZZ-IP-2016-06-2468 - Upravljanje dinamičkim sustavima (ConDyS) (Lazar, Martin, HRZZ ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
