Results 11 to 20 of about 2,978,757 (308)
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
doaj +2 more sources
Adaptive Path Integral Diffusion: AdaPID [PDF]
EntropyHarmonic Path Integral Diffusion (H-PID) provides an analytically tractable framework for sampling from a target density p(tar)(x)∝exp(−E(x)). H-PID can be viewed as a diffusion bridge model solving a stochastic optimal transport problem from a δ-density
Michael Chertkov, Hamidreza Behjoo
doaj +2 more sources
Path integral molecular dynamics for bosons [PDF]
Proc Natl Acad Sci U S A, 2019 Significance Path integral molecular dynamics (PIMD) simulations are widely used to describe nuclear quantum effects in chemistry and physics. However, they neglect exchange symmetry, a fundamental property of quantum systems, since it is impossible to ...
Barak Hirshberg +2 more
semanticscholar +2 more sources
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
doaj +2 more sources
Path-integral approximations to quantum dynamics
European Physical Journal B : Condensed Matter Physics, 2021 Imaginary-time path-integral or ‘ring-polymer’ methods have been used to simulate quantum (Boltzmann) statistical properties since the 1980s. This article reviews the more recent extension of such methods to simulate quantum dynamics, summarising the ...
S. Althorpe
semanticscholar +1 more source
Deep Learning for Feynman's Path Integral in Strong-Field Time-Dependent Dynamics. [PDF]
Physical Review Letters, 2020 Feynman's path integral approach is to sum over all possible spatiotemporal paths to reproduce the quantum wave function and the corresponding time evolution, which has enormous potential to reveal quantum processes in the classical view.
Xiwang Liu +8 more
semanticscholar +1 more source
Path integral based convolution and pooling for graph neural networks [PDF]
Neural Information Processing Systems, 2020 Graph neural networks (GNNs) extend the functionality of traditional neural networks to graph-structured data. Similar to CNNs, an optimized design of graph convolution and pooling is key to success. Borrowing ideas from physics, we propose path integral-
Zheng Ma +4 more
semanticscholar +1 more source
Author Correction: Path probability selection in nature and path integral [PDF]
Scientific Reports, 2022 Chao Wang, Min-Lan Li, Rui-Wu Wang
doaj +2 more sources
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
doaj +1 more source
Path integrals for parastatistics [PDF]
Physical Review D, 2004 We demonstrate that parastatistics can be quantized using path integrals by calculating the generating functionals for time-ordered products of both free and interacting parabose and parafermi fields in terms of path integrals. We also give a convenient form of the commutation relations for the Green components of the parabose and parafermi operators ...
Greenberg, O. W., Mishra, A. K.
openaire +2 more sources