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Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
(American Association of Physics Teachers, 2012-03)
This paper discusses the teaching of basic quantum mechanics in high school. Rather than following the usual formalism, our approach is based on Feynman’s path integral method. Our presentation makes use of simulation ...
Magnetization dynamics: path-integral formalism for the stochastic Landau–Lifshitz–Gilbert equation
(Iop Publishing, 2014-09)
We construct a path-integral representation of the generating functional for the dissipative dynamics of a classical magnetic moment as described by the stochastic generalization of the Landau–Lifshitz–Gilbert equation ...
A note on Gaussian integrals over para-Grassmann variables
(World Scientific, 2004-12)
We discuss the generalization of the connection between the determinant of an operator entering a quadratic form and the associated Gaussian path-integral valid for Grassmann variables to the para-Grassmann case [θp+1 = 0 ...
Learning effective state-feedback controllers through efficient multilevel importance samplers
(Taylor & Francis Ltd, 2019-12-21)
Monte Carlo sampling can be used to estimate the solution of path integral control problems, which are a restricted class of nonlinear control problems with arbitrary dynamics and state cost, but with a linear dependence ...
Nanodevices Versus Bacteria in a Box: The Correspondence between Classical Electrodynamics and the Quantum Mechanics Path Integral
(Institute of Electrical and Electronics EngineersPE, 2019-11)
We use the Quantum Mechanics path integral to describe bacteria spatial dynamics inside a box that that is limited by constant electric potentials. While this potential can be materialized to some extent of being a physical ...
Clustering and percolation theory for continuum systems: Clusters with nonspecific bonds and a residence time in their definition
(Elsevier Science, 2017-11)
In this article, dedicated to the memory of Lesser Blum, we develop a theory for the physical clusters which were introduced some time ago in our group (J. Chem Phys. 116, 1097–1108, 2002). The physical cluster definition ...
A path integral realization of joint JT¯ , TJ¯ and TT¯ flows
(Springer, 2020-07)
We recast the joint JT¯ , TJ¯ and TT¯ deformations as coupling the original theory to a mixture of topological gravity and gauge theory. This geometrizes the general flow triggered by irrelevant deformations built out of ...