Results 31 to 40 of about 2,208 (153)

Time symmetry in Rigged Hilbert Spaces [PDF]

open access: green, 2000
Despite the fact that the fundamental physical laws are symmetric in time, most observed processes do not show this symmetry. Especially the phenomenon of decay seems to involve a kind of irreversibility that makes the definition of a microscopic arrow of time possible.
Kim J. Bostroem
openalex   +3 more sources

Lévy--Laplace Operators in Functional Rigged Hilbert Spaces [PDF]

open access: greenMathematical Notes, 2002
This paper is devoted to the analytical properties of the Lévy-Laplace operator (the Lévy Laplacian) and the semigroups generated by this operator. Here the authors present new results which are based on the properties of the Lévy-Volterra operators.
Luigi Accardi, O. G. Smolyanov
openalex   +4 more sources

A constructive presentation of rigged Hilbert spaces [PDF]

open access: diamondJournal of Physics: Conference Series, 2015
9 pages, 7th Int. Workshop DICE2014, Sept. 15-19, 2014, Castiglioncello (Italy)
E. Celeghini
openalex   +4 more sources

Spherical harmonics and rigged Hilbert spaces [PDF]

open access: greenJournal of Mathematical Physics, 2018
This paper is devoted to study discrete and continuous bases for spaces supporting representations of SO(3) and SO(3, 2) where the spherical harmonics are involved. We show how discrete and continuous bases coexist on appropriate choices of rigged Hilbert spaces. We prove the continuity of relevant operators and the operators in the algebras spanned by
E. Celeghini, M. Gadella, M. A. del Olmo
openalex   +6 more sources

Rigged Hilbert Space Treatment of Continuous Spectrum [PDF]

open access: yesFortschritte der Physik, 2002
RevTex, 32 ...
de la Madrid, R., Bohm, A., Gadella, M.
openaire   +3 more sources

Rigged Hilbert Space Resonances and Time Asymmetric Quantum Mechanics [PDF]

open access: green, 1999
The Rigged Hilbert Space (RHS) theory of resonance scattering and decay is reviewed and contrasted with the standard Hilbert space (HS) theory of quantum mechanics. The main difference is in the choice of boundary conditions. Whereas the conventional theory allows for the in-states $ ^+$ and the out-states (observables) $ ^-$ of the S-matrix elements
Arno Böhm, H. Kaldass
openalex   +4 more sources

On ultraproducts, the spectral theorem and rigged Hilbert spaces [PDF]

open access: greenThe Journal of Symbolic Logic, 2020
Abstract We start by showing how to approximate unitary and bounded self-adjoint operators by operators in finite dimensional spaces. Using ultraproducts we give a precise meaning for the approximation. In this process we see how the spectral measure is obtained as an ultralimit of counting measures that arise naturally from the finite dimensional ...
Åsa Hirvonen, Tapani Hyttinen
openalex   +4 more sources

A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 124, Issue 13, Page 2935-2964, 15 July 2023., 2023
Abstract This work deals with shape optimization for contact mechanics. More specifically, the linear elasticity model is considered under the small deformations hypothesis, and the elastic body is assumed to be in contact (sliding or with Tresca friction) with a rigid foundation.
Bastien Chaudet‐Dumas
wiley   +1 more source

Manipulation of stator current signature for rotor asymmetries fault diagnosis of wound rotor induction machine

open access: yesIET Science, Measurement &Technology, Volume 16, Issue 9, Page 523-532, November 2022., 2022
Abstract In this paper, a new technique based on the manipulation of stator current signature for induction machines fault diagnosis is introduced. The goal of the proposed method is to demodulate the characteristic frequencies from supply frequency and preserve the information of the supply frequency and its harmonics.
Mohammad Hoseintabar Marzebali   +3 more
wiley   +1 more source

Time Asymmetric Quantum Mechanics and Shock Waves: Exploring the Irreversibility in Nonlinear Optics [PDF]

open access: yes, 2017
The description of irreversible phenomena is a still debated topic in quantum mechanics. Still nowadays, there is no clear procedure to distinguish the coupling with external baths from the intrinsic irreversibility in isolated systems.
Aglietti   +55 more
core   +1 more source

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