A Feynman-Kac formula for Schrodinger operators including a one-center point interaction in R^3 plus a bounded potential is proved. Functional integration methods on similar Kac's averages with point interactions allow us to construct bounded self-adjoint semigroups in L^2(R^3), with bounded below Schrodinger generators, when V^+ \in L_loc^2 and V^- belongs to a large class of L^2 + L^-8 potentials. Moreover, a pointwise bound on the range of the semigroup is given.

Feynman integrals with point interactions / E., Franchini; Maioli, Marco. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - STAMPA. - 46:5-6(2003), pp. 685-694. [10.1016/S0898-1221(03)90134-9]

Feynman integrals with point interactions

MAIOLI, Marco
2003

Abstract

A Feynman-Kac formula for Schrodinger operators including a one-center point interaction in R^3 plus a bounded potential is proved. Functional integration methods on similar Kac's averages with point interactions allow us to construct bounded self-adjoint semigroups in L^2(R^3), with bounded below Schrodinger generators, when V^+ \in L_loc^2 and V^- belongs to a large class of L^2 + L^-8 potentials. Moreover, a pointwise bound on the range of the semigroup is given.
2003
46
5-6
685
694
Feynman integrals with point interactions / E., Franchini; Maioli, Marco. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - STAMPA. - 46:5-6(2003), pp. 685-694. [10.1016/S0898-1221(03)90134-9]
E., Franchini; Maioli, Marco
File in questo prodotto:
File Dimensione Formato  
1-s2.0-S0898122103901349-main.pdf

Open access

Tipologia: Versione pubblicata dall'editore
Dimensione 595.87 kB
Formato Adobe PDF
595.87 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/16171
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 3
social impact