Results 31 to 40 of about 32,582 (169)
Micromachines, 2023 Following the seminal discovery of Richard Feynman, several micromachines have been made that are capable of several applications, such as solar energy harvesting, remediation of environmental pollution, etc.
Nivedita Pan +11 more
doaj +1 more source
Feynman formulae and phase space Feynman path integrals for tau-quantization of some L\'evy-Khintchine type Hamilton functions [PDF]
, 2013 This note is devoted to representation of some evolution semigroups. The semigroups are generated by pseudo-differential operators, which are obtained by different (parametrized by a number $\tau$) procedures of quantization from a certain class of ...
G. Smolyanov +3 more
core +1 more source
Relationships among transforms, convolutions, and first variations
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we establish several interesting relationships involving the Fourier-Feynman transform, the convolution product, and the first variation for functionals F on Wiener space of the form F(x)=f(〈α1,x〉,…,〈αn,x〉),
Jeong Gyoo Kim +3 more
doaj +1 more source
Yeh–Fourier–Feynman transforms and convolutions associated with Gaussian processes
Annals of Functional Analysis, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Generalized Analytic Fourier-Feynman Transform of Functionals in a Banach Algebra ℱA1,A2a,b
Journal of Function Spaces and Applications, 2013 We introduce the Fresnel type class ℱA1,A2a,b. We also establish the existence of the generalized analytic Fourier-Feynman transform for functionals in the Banach algebra ℱA1,A2a,b.
Jae Gil Choi +2 more
doaj +1 more source
Mathematics, 2020 We prove that the Wiener integral, the analytic Wiener integral and the analytic Feynman integral of the first variation of F(x)=exp{∫0Tθ(t,x(t))dt} successfully exist under the certain condition, where θ(t,u)=∫Rexp{iuv}dσt(v) is a Fourier–Stieltjes ...
Young Sik Kim
doaj +1 more source
Causal construction of the massless vertex diagram [PDF]
, 2006 The massless one-loop vertex diagram is constructed by exploiting the causal structure of the diagram in configuration space, which can be translated directly into dispersive relations in momentum space.Comment: 14 pages, LATEX with style file ...
A. Aste +14 more
core +5 more sources
A Rotation of Admixable Operators on Abstract Wiener Space with Applications
Journal of Function Spaces and Applications, 2013 We investigate certain rotation properties of the abstract Wiener measure. To determine our rotation property for the Wiener measure, we introduce the concept of an admixable operator via an algebraic structure on abstract Wiener space.
Jae Gil Choi, Seung Jun Chang
doaj +1 more source
Comment on "Summing One-Loop Graphs at Multi-Particle Threshold"
, 1992 The propagator of a virtual $\phi$-field with emission of $n$ on-mass-shell particles all being exactly at rest is calculated at the tree-level in $\lambda \phi^4$ theory by directly solving recursion equations for the sum of Feynman graphs.
L. S. Brown +3 more
core +1 more source
Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals.
Michigan Mathematical Journal, 1996 Fourier transforms with respect to the analytic Feynman integral and the related topics: convolution product and its Fourier transform, the inversion formula, Parseval's identity, are discussed for functionals involving multiple time integrals, e.g., of the form \[ F(x)=\exp [\int^T_0 \int^T_0f(s,t,x(s), x(t))ds dt]. \] Two situations are considered: a
Huffman, Timothy +2 more
openaire +3 more sources