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:(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
685
694
Feynman integrals with point interactions / E., Franchini; Maioli, Marco. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - STAMPA. - 46:(2003), pp. 685-694. [10.1016/S0898-1221(03)90134-9]
E., Franchini; Maioli, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/16171
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