Results 21 to 30 of about 32,582 (169)
Conditional Fourier-Feynman transforms and convolutions over continuous paths [PDF]
International Mathematical Forum, 2013 Summary: In the present paper, we evaluate the analytic conditional Fourier-Feynman transforms and convolution products of bounded functions which are important in Feynman integration theories and quantum mechanics. We further investigate the inverse transforms of the functions with their relationships and finally that the conditional analytic Fourier ...
Park, Suk Bong +2 more
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QCD recursion relations from the largest time equation [PDF]
, 2005 We show how by reassembling the tree level gluon Feynman diagrams in a convenient gauge, space-cone, we can explicitly derive the BCFW recursion relations. Moreover, the proof of the gluon recursion relations hinges on an identity in momentum space which
Diana Vaman +7 more
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Generalized transforms and convolutions
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, using the concept of a generalized Feynman integral, we define a generalized Fourier-Feynman transform and a generalized convolution product.
Timothy Huffman +2 more
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On the pointwise convergence of the integral kernels in the Feynman-Trotter formula [PDF]
, 2019 We study path integrals in the Trotter-type form for the Schr\"odinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potential $V$ in a class encompassing that - considered by Albeverio and It\^o ...
Nicola, Fabio, Trapasso, S. Ivan
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International Journal of Mathematics and Mathematical Sciences, 2002 We use a generalized Brownian motion process to define the generalized Fourier-Feynman transform, the convolution product, and the first variation. We then examine the various relationships that exist among the first variation, the generalized Fourier ...
Seung Jun Chang, Jae Gil Choi
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Classes of Fourier–Feynman transforms on Wiener space
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seung Jun Chang, Jae Gil Choi
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Regularization of energy-momentum tensor correlators and parity-odd terms [PDF]
, 2015 We discuss the problem of regularizing correlators in conformal field theories. The only way to do it in coordinate space is to interpret them as distributions.
Bonora, Loriano +2 more
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Change of Scale Formulas for Wiener Integrals Related to Fourier-Feynman Transform and Convolution
Journal of Function Spaces, 2014 Cameron and Storvick discovered change of scale formulas for Wiener integrals of functionals in Banach algebra S on classical Wiener space. Yoo and Skoug extended these results for functionals in the Fresnel class F(B) and in a generalized Fresnel class ...
Bong Jin Kim, Byoung Soo Kim, Il Yoo
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Fractal and Fractional, 2023 Forward-backward stochastic differential equations (FBSDEs) have received more and more attention in the past two decades. FBSDEs can be applied to many fields, such as economics and finance, engineering control, population dynamics analysis, and so on ...
Xiaoxiao Zeng +4 more
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A new approach for the vertical part of the contour in thermal field theories [PDF]
, 1999 A lot of work has been devoted in the past to understand the role of vertical branch of the time path in thermal field theories, and in particular to see how to deal with it in the real-time formalism. Unlike what is commonly believed, I emphasize on the
Gelis, Francois
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