Feynman integrals with point interactions

✍ Scribed by E. Franchini; M. Maioli

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 596 KB
• Volume: 46
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(03)90134-9

✦ 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.