31 citations · 103 across the 8 of their papers we have counts for
8 papers
Feynman integrals for a class of exponentially growing potentials
Tobias Kuna, Ludwig Streit, Werner Westerkamp
We construct the Feynman integrands for a class of exponentially growing time-dependent potentials as white noise functionals. We show that they solve the Schroedinger equation. Th…
Generalized Functionals in Gaussian Spaces - The Characterization Theorem Revisited
Yu. G. Kondratiev, P. Leukert, J. Potthoff +2
Gel'fand triples of test and generalized functionals in Gaussian spaces are constructed and characterized.
Quantum Mechanical Propagators in Terms of Hida Distributions
Angelika Lascheck, Peter Leukert, Ludwig Streit +1
We review some basic notions and results of White Noise Analysis that are used in the construction of the Feynman integrand as a generalized White Noise functional. After sketching…
More About Donsker's Delta Function
Angelika Lascheck, Peter Leukert, Ludwig Streit +1
We discuss Donsker's delta function within the framework of White Noise Analysis, in particular its extension to complex arguments. With a view towards applications to quantum phys…
The Feynman Integrand for the Perturbed Harmonic Oscillator as a Hida Distribution
Mario Cunha, Custodia Drumond, Peter Leukert +2
We review some basic notions and results of White Noise Analysis that are used in the construction of the Feynman integrand as a generalized White Noise functional. We show that th…
Recent Results in Infinite Dimensional Analysis and Applications to Feynman Integrals
Werner Westerkamp
The first part of this thesis proposes a general approach to infinite dimensional non-Gaussian analysis, including the Poissonian case. In particular distribution theory is develop…