Hamiltonian Path Integrals In Momentum Space Representation via White Noise Techniques

Abstract

The concepts of Feynman integrals in white noise analysis are used to construct the Feynman integrand for the harmonic oscillator in momentum space representation as a Hida distribution. Moreover it is shown that in a limit sense, the potential free case fulfills the conservation of momentum.

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

References in corpus (5)

• Feynman integrals for a class of exponentially growing potentials
• Recent Results in Infinite Dimensional Analysis and Applications to Feynman Integrals
• The Feynman Path Integral: An Historical Slice
• More About Donsker's Delta Function
• Feynman integrals for non-smooth and rapidly growing potentials

Cited by in corpus (1)

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