Results 1 to 10 of about 169,346 (282)

Motion of Quantum Particles in Terms of Probabilities of Paths [PDF]

Entropy
The Feynman path integral formalism for non-relativistic quantum mechanics is revisited. A comparison is made with cases of light propagation (Huygens’ principle) and Brownian motion. The difficulties for a physical model applying Feynman’s formalism are
Emilio Santos
doaj   +2 more sources

Exact path-integral representation of the Wright-Fisher model with mutation and selection [PDF]

BMC Genomics
The Wright-Fisher model describes a biological population containing a finite number of individuals. In this work we consider a Wright-Fisher model for an outcrossing population, where selection and mutation act at an unlinked locus. The selection acting
David Waxman
doaj   +2 more sources

An approach to quantum 2D gravity

Physics Letters B, 2023
We consider a model of 2D gravity with the action quadratic in curvature and represent path integrals as integrals over the SL(2,R) invariant Gaussian functional measure.
Vladimir V. Belokurov, Evgeniy T. Shavgulidze   +1 more
doaj   +1 more source

Introduction to path-integral Quantum Field Theory – A toolbox

Revista Brasileira de Ensino de Física, 2021
Lecture notes on path-integrals, suitable for an undergraduate course with prerequisites such as: Classical Mechanics, Electromagnetism and Quantum Mechanics.
Roland Koberle
doaj   +1 more source

Cost of holographic path integrals

SciPost Physics, 2023
We consider proposals for the cost of holographic path integrals. Gravitational path integrals within finite radial cutoff surfaces have a precise map to path integrals in $T\overline{T}$ deformed holographic CFTs. In Nielsen's geometric formulation cost
Ammanamanchi Ramesh Chandra, Jan de Boer, Mario Flory, Michal P. Heller, Sergio Hörtner, Andrew Rolph
doaj   +1 more source

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
openaire   +4 more sources

Crack path predictions and experiments in plane structures considering anisotropic properties and material interfaces [PDF]

Fracture and Structural Integrity, 2015
In many engineering applications special requirements are directed to a material's fracture behavior and the prediction of crack paths. Especially if the material exhibits anisotropic elastic properties or fracture toughnesses, e.g.
P.O. Judt, A. Ricoeur
doaj   +2 more sources

Gravitational thermodynamics without the conformal factor problem: partition functions and Euclidean saddles from Lorentzian path integrals

Journal of High Energy Physics, 2022
Thermal partition functions for gravitational systems have traditionally been studied using Euclidean path integrals. But in Euclidean signature the gravitational action suffers from the conformal factor problem, which renders the action unbounded below.
Donald Marolf
doaj   +1 more source

Path integrals in quadratic gravity

Journal of High Energy Physics, 2022
Using the invariance of Quadratic Gravity in FLRW metric under the group of diffeomorphisms of the time coordinate, we rewrite the action A of the theory in terms of the invariant dynamical variable g(τ).
Vladimir V. Belokurov, Evgeniy T. Shavgulidze   +1 more
doaj   +1 more source

Path-integral evidence [PDF]

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.
openaire   +2 more sources