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Conditional generalized Fourier-Feynman transform of functionals in a Fresnel type class

장승준
대한수학회 (The Korean Mathematical Society)|2011.04|대한수학회논문집 (Communications of the KMS)|제26권 제2호|pp. 273-289

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참고문헌

키워드

generalized Brownian motionFresnel type classgeneralized Fourier-Feynman transformconditional generalized Feynman integralconditional generalized Fourier-Feynman transform
주제분류수학

초록

In this paper we define the concept of a conditional generalized Fourier-Feynman transform on very general function space C_(a,b)[0,T]. We then establish the existence of the conditional generalized Fourier-Feynman transform for functionals in a Fresnel type class. We also obtain several results involving the conditional transform. Finally we present functionals to apply our results. The functionals arise naturally in Feynman integration theories and quantum mechanics.

Abstract

In this paper we define the concept of a conditional generalized Fourier-Feynman transform on very general function space C_(a,b)[0,T]. We then establish the existence of the conditional generalized Fourier-Feynman transform for functionals in a Fresnel type class. We also obtain several results involving the conditional transform. Finally we present functionals to apply our results. The functionals arise naturally in Feynman integration theories and quantum mechanics.

참고문헌 (21)

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