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Path probability selection in nature and path integral [PDF]
Scientific Reports, 2022 Understanding of any biological evolutions, such as speciation, adaptation behavior and biodiversity pattern, is based on a fundamental concept of fitness, in which natural selection implies the improvement and progress of fitness in either direct ...
Chao Wang, Min-Lan Li, Rui-Wu Wang
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Continuous-Discrete Path Integral Filtering
Entropy, 2008 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 ...
Archambeau +14 more
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Path Integral Molecular Dynamics of Liquid Water in a Mean‐Field Particle Reservoir [PDF]
ChemistryOpen, 2022 We present a simulation scheme for path integral simulation of molecular liquids where a small open region is embedded in a large reservoir of non interacting point‐particles.
Antonios Evangelakis +2 more
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Author Correction: Path probability selection in nature and path integral [PDF]
Scientific Reports, 2022 Chao Wang, Min-Lan Li, Rui-Wu Wang
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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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Koopman Operator and Path Integral of Quantum Free-Electron Laser Model
Mathematics, 2022 A quantum model of a free-electron laser (FEL) is considered. Two different approaches for the exploration of the the FEL system are considered. In the first case, the Heisenberg equations of motion are mapped on the basis of the initial wave functions ...
Alexander Iomin
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Holographic path-integral optimization
Journal of High Energy Physics, 2021 In this work we elaborate on holographic description of the path-integral optimization in conformal field theories (CFT) using Hartle-Hawking wave functions in Anti-de Sitter spacetimes.
Jan Boruch +3 more
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Path integral in quantum field theories
Vojnotehnički Glasnik, 2022 Introduction/purpose: Starting from the Hamiltonian an alternative description of quantum mechanics has been given, based on the sum of all possible paths between an initial and a final point.
Nicola Fabiano
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Monthly Notices of the Royal Astronomical Society, 2015 Here we present a Bayesian formalism for the goodness-of-fit that is the evidence for a fixed functional form over the evidence for all functions that are a general perturbation about this form. This is done under the assumption that the statistical properties of the data can be modelled by a multivariate Gaussian distribution.
Kitching, T. D., Taylor, A. N.
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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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