Results 11 to 20 of about 89,565 (306)
Continuous-Discrete Path Integral Filtering
Entropy, 2009 A summary of the relationship between the Langevin equation, Fokker-Planck-Kolmogorov forward equation (FPKfe) and the Feynman path integral descriptions of stochastic processes relevant for the solution of the continuous-discrete filtering problem is ...
Bhashyam Balaji
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The universal path integral [PDF]
Quantum Information Processing, 2015 Path integrals represent a powerful route to quantization: they calculate probabilities by summing over classical configurations of variables such as fields, assigning each configuration a phase equal to the action of that configuration. This paper defines a universal path integral, which sums over all computable structures. This path integral contains
Seth Lloyd, Olaf Dreyer
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Q-curvature and path integral complexity [PDF]
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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Path integral complexity and Kasner singularities
Journal of High Energy Physics, 2022 We explore properties of path integral complexity in field theories on time dependent backgrounds using its dual description in terms of Hartle-Hawking wavefunctions.
Pawel Caputa, Diptarka Das, Sumit R. Das
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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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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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Using Machine Learning to Greatly Accelerate Path Integral Ab Initio Molecular Dynamics
, 2022 Ab initio molecular dynamics (AIMD) has become one of the most popular and robust approaches for modeling complicated chemical, liquid, and material systems.
Gregory A., Voth, Chenghan , Li
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Unifying Theory for Casimir Forces: Bulk and Surface Formulations
Universe, 2021 The principles of the electromagnetic fluctuation-induced phenomena such as Casimir forces are well understood. However, recent experimental advances require universal and efficient methods to compute these forces.
Giuseppe Bimonte, Thorsten Emig
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Normalized Gaussian path integrals [PDF]
Physical Review E, 2020 Path integrals play a crucial role in describing the dynamics of physical systems subject to classical or quantum noise. In fact, when correctly normalized, they express the probability of transition between two states of the system. In this work, we show a consistent approach to solve conditional and unconditional Euclidean (Wiener) Gaussian path ...
Giulio Corazza, Matteo Fadel
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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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