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Feynman integrals with point interactions

โœ Scribed by E. Franchini; M. Maioli


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
596 KB
Volume
46
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


Feynman-Kac formula for Schrodinger operators including a one-center point interaction in R3 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 L2(R3), with bounded below Schriidinger generators, when V+ E Lfoc and V-belongs to a large class of L2 + Loo potentials. Moreover, a pointwise bound on the range of the semigroup is given.


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