Results 11 to 20 of about 1,067,624 (281)
Atmosphere, 2021 Kernel smoothers are often used in Lagrangian particle dispersion simulations to estimate the concentration distribution of tracer gasses, pollutants etc.
Gunther Bijloos, Johan Meyers
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Path integral representation of the evolution operator for the Dirac equation [PDF]
, 2006 A path integral representation of the evolution operator for the four-dimensional Dirac equation is proposed. A quadratic form of the canonical momenta regularizes the original representation of the path integral in the electron phase space.
Lukyanenko, Alexander S. +1 more
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Journal of Physics A: Mathematical and Theoretical, 2012 13 pages, 14 figures; typos corrected, references added, discussion of weight factors ...
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Relativistic Path Integrals [PDF]
Progress of Theoretical Physics, 1979 Summary: An elementary theory of relativistic path integrals is developed in the Lorentz space. A path integral for a Dirac electron is formulated, in which the perturbation expansion is shown to give the same rules as those given in the more usual formulation of field theory. A geometric feature of path integrals is investigated by using Weyl's theory
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A probabilistic approach of Liouville field theory
Comptes Rendus. Physique, 2021 In this article, we present the Liouville field theory, which was introduced in the eighties in physics by Polyakov as a model for fluctuating metrics in 2D quantum gravity, and outline recent mathematical progress in its study. In particular, we explain
Rhodes, Rémi, Vargas, Vincent
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Purely geometric path integral for spin foams [PDF]
, 2013 Spin-foams are a proposal for defining the dynamics of loop quantum gravity via path integral. In order for a path integral to be at least formally equivalent to the corresponding canonical quantization, at each point in the space of histories it is ...
Engle, Jonathan +1 more
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QED on Curved Background and on Manifolds with Boundaries: Unitarity versus Covariance [PDF]
, 1994 Some recent results show that the covariant path integral and the integral over physical degrees of freedom give contradicting results on curved background and on manifolds with boundaries. This looks like a conflict between unitarity and covariance.
A. M. Polyakov +51 more
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Quantum Reports, 2020 The mathematical similarities between non-relativistic wavefunction propagation in quantum mechanics and image propagation in scalar diffraction theory are used to develop a novel understanding of time and paths through spacetime as a whole.
Sky Nelson-Isaacs
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Universe, 2022 The Heisenberg uncertainty principle is modified by the introduction of an observer-independent minimal length. In this work, we have considered the resonant gravitational wave detector in the modified uncertainty principle framework, where we have used ...
Soham Sen +2 more
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Q-curvature and path integral complexity
Journal of High Energy Physics, 2022 We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for a systematical construction of the higher-dimensional path integral complexity in holographic conformal field theories
Hugo A. Camargo +2 more
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