Results 71 to 80 of about 86,270 (268)

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, Jung Won Ko, Chull Park, David Skoug   +3 more
doaj   +1 more source

Singularities of Feynman integrals

The European Physical Journal Special Topics
Journal ...
Tanay Pathak, Ramesh Sreekantan
openaire   +2 more sources

Reprogrammable All‐Photonic Molecular Logic With Ln3+ Luminescent Hybrids in Solid State

Laser &Photonics Reviews, EarlyView.
Mario P. de‐Saralegui et al. report an Eu3⁺/Tb3⁺‐doped organic–inorganic hybrid material that enables multiple reprogrammable logic operations using only physical stimuli. Additionally, this solid‐state, all‐photonic platform represents the first example in the literature performing reversible Feynman logic operations, marking a major step toward ...
Mario P. de‐Saralegui, Lianshe Fu, Albano N. Carneiro Neto, Carlos D. S. Brites, Miguel A. Hernández‐Rodríguez   +4 more
wiley   +1 more source

The loop-by-loop Baikov representation — Strategies and implementation

Journal of High Energy Physics
In this paper, we discuss the Baikov representation of Feynman integrals in its standard and loop-by-loop variants. The Baikov representation is a parametric representation, which has as its defining feature the fact that the integration variables are ...
Hjalte Frellesvig
doaj   +1 more source

A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II

International Journal of Mathematics and Mathematical Sciences, 2001
We show that for certain bounded cylinder functions of the form F(x)=μˆ((h1,x)∼,...,(hn,x)∼), x∈B where μˆ:ℝn→ℂ is the Fourier-transform of the complex-valued Borel measure μ on ℬ(ℝn), the Borel σ-algebra of ℝn with ‖μ‖
Young Sik Kim
doaj   +1 more source

GASCAP: Accelerating Adsorption Evaluation Using Graph Voronoi Diagram and Machine Learning Method

Materials Genome Engineering Advances, EarlyView.
GASCAP achieve comprehensive evaluations of adsorption on solid surfaces in high‐throughput way. ABSTRACT Adsorption on a solid surface is a significant chemical process in the fields of gas sensors, solid catalysts, hydrogen storage materials, and ion batteries.
Wencai Yi, Jiping Xiong, Xingang Jiang, Yuqiu Zhang, Chaozheng He, Xiaobing Liu   +5 more
wiley   +1 more source

A change of scale formula for Wiener integrals on abstract Wiener spaces

International Journal of Mathematics and Mathematical Sciences, 1994
In this paper we obtain a change of scale formula for Wiener integrals on abstract Wiener spaces. This formula is shown to hold for many classes of functions of interest in Feynman integration theory and quantum mechanics.
Il Yoo, David Skoug
doaj   +1 more source

Perturbative Computation of the Gluonic Effective Action via Polyaokov's World-Line Path Integral

, 2002
The Polyakov world-line path integral describing the propagation of gluon field quanta is constructed by employing the background gauge fixing method and is subsequently applied to analytically compute the divergent terms of the one (gluonic) loop ...
A. I. Karanikas, A.A. Migdal, A.I. Karanikas, A.I. Karanikas, A.I. Karanikas, A.I. Karanikas, A.I. Karanikas, A.I. Karanikas, A.M. Polyakov, A.P. Balachandran, C. N. Ktorides, E.S. Fradkin, E.S. Fradkin, G.C. Gellas, G.C. Gellas, G.C. Gellas, J.A. Minahan, J.S. Schwinger, L. Alvarez-Gaume, L. Brink, L. Brink, M. Reuter, M.B. Halpern, M.B. Halpern, M.G. Schmidt, M.G. Schmidt, M.J. Strassler, P. Di Vecchia, P. Di Vecchia, R. Casalbuoni, R.P. Feynman, R.R. Metsaev, S. D. Avramis, T.R. Taylor, V.S. Kaplunovsky, V.S. Kaplunovsky, Z. Bern, Z. Bern, Z. Bern, Z. Bern, Z. Bern, Z. Bern   +41 more
core   +2 more sources

Electronic Correlation Effects in the Response of Graphene and MoS2 Monolayers to the Impact of Highly‐Charged Ions

physica status solidi (b), EarlyView.
The response of graphene and MoS2 monolayers to highly‐charged impinging ions is investigated using nonequilibrium Green functions theory. Electronic correlations are found to have a significantly stronger influence on the ultrafast ion‐induced electron dynamics in MoS2 than in graphene.
Giorgio Lovato, Michael Bonitz, Karsten Balzer, Fabio Caruso, Jan‐Philip Joost   +4 more
wiley   +1 more source

Calabi-Yau Feynman integrals in gravity: ε-factorized form for apparent singularities

Journal of High Energy Physics
We study a recently identified four-loop Feynman integral that contains a three-dimensional Calabi-Yau geometry and contributes to the scattering of black holes in classical gravity at fifth post-Minkowskian and second self-force order (5PM 2SF) in the ...
Hjalte Frellesvig, Roger Morales, Sebastian Pögel, Stefan Weinzierl, Matthias Wilhelm   +4 more
doaj   +1 more source