Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action

Abstract

We give an outlook, how to realize the ideas of complex scaling from Grothaus, Vogel and Streit to phase space path integrals in the framework of White Noise Analysis. The idea of this scaling method goes back to Doss. Therefore we extend the concept complex scaling to scaling with suitable bounded operators.

arXiv admin note: substantial text overlap with arXiv:1307.4233, arXiv:1307.3478, arXiv:1203.0089, arXiv:1012.1125

References in corpus (4)

• Recent Results in Infinite Dimensional Analysis and Applications to Feynman Integrals
• More About Donsker's Delta Function
• A White Noise Approach to Phase Space Feynman Path Integrals
• Hamiltonian Path Integrals In Momentum Space Representation via White Noise Techniques