Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5264
Title: Existence of Hamiltonians for some singular interactions on manifolds
Authors: Doğan, Çağlar
Erman, Fatih
Turgut, Osman Teoman
Keywords: Hamiltonians
Riemannian manifolds
Publisher: American Institute of Physics
Source: Doğan, Ç, Erman, F. and Turgut, O. T. (2012). Existence of Hamiltonians for some singular interactions on manifolds. Journal of Mathematical Physics, 53(4). doi:10.1063/1.4705291
Abstract: The existence of the Hamiltonians of the renormalized point interactions in two and three dimensional Riemannian manifolds and that of a relativistic extension of this model in two dimensions are proven. Although it is much more difficult, the proof of existence of the Hamiltonian for the renormalized resolvent for the non-relativistic Lee model can still be given. To accomplish these results directly from the resolvent formula, we employ some basic tools from the semigroup theory.
URI: http://dx.doi.org/10.1063/1.4705291
http://hdl.handle.net/11147/5264
ISSN: 0022-2488
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
5264.pdfMakale279.63 kBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

6
checked on Apr 5, 2024

WEB OF SCIENCETM
Citations

5
checked on Mar 27, 2024

Page view(s)

1,336
checked on Apr 8, 2024

Download(s)

108
checked on Apr 8, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.