Add to ORKGAbstract. In this paper, we discuss the application of white noise analysis to the Feynman path integral in the ¯eld theory. By introducing normal coordinates which permit us to describe the system as a set of independent harmonic oscillators, we calculate the Feynman path integral using white noise functionals. Moreover, we give an in¯nite dimensional SchrÄodinger type equation associated with the L¶evy and Volterra Laplacians by introducing new renormalizations of the integral. 1
In this paper the extension of the Path Integral to non-linear systems driven by Poissonian White No...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
It is a well known result that the Feynman's path integral (FPI) approach to quantum mechanics is eq...
In this paper the following will be discussed: 1. Why the white noise analysis is applied to the Fey...
We rwiew some basic notions and results of White Noise Analysis that are used in the con struction o...
Streit L, HIDA T. WHITE NOISE-ANALYSIS AND ITS APPLICATION TO FEYNMAN INTEGRAL. LECTURE NOTES IN MAT...
A functional integral representation for the weak solution of the Schrödinger equation with polynomi...
AbstractWe apply white noise calculus to the computation, according to the rigorous definitions give...
Grothaus M, Khandekar DC, daSilva JL, Streit L. The Feynman integral for time-dependent anharmonic o...
The use of white noise analysis is utilized in this study. We consider an open quantum system of cou...
de Faria M, Oliveira MJ, Streit L. Feynman integrals for nonsmooth and rapidly growing potentials. J...
To obtain a sufficiently rich class of nonlinear functionals of white noise, resp. the Wiener proces...
Kuna T, Streit L, Westerkamp W. Feynman integrals for a class of exponentially growing potentials. J...
We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential ...
AbstractTo obtain a sufficiently rich class of nonlinear functionals of white noise, resp. the Wiene...
In this paper the extension of the Path Integral to non-linear systems driven by Poissonian White No...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
It is a well known result that the Feynman's path integral (FPI) approach to quantum mechanics is eq...
In this paper the following will be discussed: 1. Why the white noise analysis is applied to the Fey...
We rwiew some basic notions and results of White Noise Analysis that are used in the con struction o...
Streit L, HIDA T. WHITE NOISE-ANALYSIS AND ITS APPLICATION TO FEYNMAN INTEGRAL. LECTURE NOTES IN MAT...
A functional integral representation for the weak solution of the Schrödinger equation with polynomi...
AbstractWe apply white noise calculus to the computation, according to the rigorous definitions give...
Grothaus M, Khandekar DC, daSilva JL, Streit L. The Feynman integral for time-dependent anharmonic o...
The use of white noise analysis is utilized in this study. We consider an open quantum system of cou...
de Faria M, Oliveira MJ, Streit L. Feynman integrals for nonsmooth and rapidly growing potentials. J...
To obtain a sufficiently rich class of nonlinear functionals of white noise, resp. the Wiener proces...
Kuna T, Streit L, Westerkamp W. Feynman integrals for a class of exponentially growing potentials. J...
We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential ...
AbstractTo obtain a sufficiently rich class of nonlinear functionals of white noise, resp. the Wiene...
In this paper the extension of the Path Integral to non-linear systems driven by Poissonian White No...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
It is a well known result that the Feynman's path integral (FPI) approach to quantum mechanics is eq...