Results 41 to 50 of about 77,145 (154)

Shafting Misalignment Malfunction Quantitative Diagnosis Based on Speed Signal SVD‐HT and CSF‐PPSO‐ESN Method

Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022
Aiming at the quantitative diagnosis of shafting misalignment malfunction, a novel method based on speed signal with singular value decomposition and Hilbert transform (SVD‐HT) and cubic spline fitting‐Pareto particle swarm optimization‐echo state network (CSF‐PPSO‐ESN) method is proposed.
Zhen Yu, Wancheng Yu, Rodolfo E. Haber
wiley   +1 more source

Feature Extraction of Weak‐Bearing Faults Based on Laplace Wavelet and Orthogonal Matching Pursuit

Shock and Vibration, Volume 2022, Issue 1, 2022., 2022
The transient impact component of early bearing faults is not obvious, and the traditional basis function expansion method is poor in feature extraction under strong noise conditions. In this paper, a transient feature extraction technique is proposed based on Laplace wavelet and orthogonal matching pursuit algorithm and combined with sparse ...
Lei Hou, Junxiao Zhao, Shiwei Dun, Yufeng Cai, Yang Yang, Junzhi Xu, Chuanzong Sun, Dario Richiedei   +7 more
wiley   +1 more source

The Arrow of Time in Rigged Hilbert Space Quantum Mechanics [PDF]

International Journal of Theoretical Physics, 2005
Arno Bohm and Ilya Prigogine's Brussels-Austin Group have been working on the quantum mechanical arrow of time and irreversibility in rigged Hilbert space quantum mechanics. A crucial notion in Bohm's approach is the so-called preparation/registration arrow. An analysis of this arrow and its role in Bohm's theory of scattering is given.
Robert C. Bishop
openalex   +5 more sources

Zernike functions, rigged Hilbert spaces, and potential applications [PDF]

Journal of Mathematical Physics, 2019
We revise the symmetries of the Zernike polynomials that determine the Lie algebra su(1, 1) ⊕ su(1, 1). We show how they induce discrete as well as continuous bases that coexist in the framework of rigged Hilbert spaces. We also discuss some other interesting properties of Zernike polynomials and Zernike functions.
E. Celeghini, M. Gadella, M. A. del Olmo
openalex   +6 more sources

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

, 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, Antoniou, Bang, Barton, Bohm, Bohm, Bohm, Bohm, Boyd, Braidotti, Brezis, Castagnino, Chruściński, Chruściński, Chruściński, Civitarese, Conti, Crosta, El, Folli, Fratalocchi, Gadella, Gamow, Gamow, Garnier, Gentilini, Gentilini, Gentilini, Gentilini, Ghofraniha, Ghofraniha, Gleason, Gordon, Gurevich, Hegerfeldt, Hoefer, Khalfin, Lecaplain, Lisak, Longhi, Madrid, Marcucci, Moro, Munkres, Picozzi, Prigogine, Rotschild, Royden, Rudin, Shimbori, Snyder, Stone, Turitsyn, Wan, Whitham, Xu   +55 more
core   +1 more source

Computing Generalized Eigenfunctions in Rigged Hilbert Spaces [PDF]

Pure and Applied Analysis
We introduce a simple, general, and convergent scheme to compute generalized eigenfunctions of self-adjoint operators with continuous spectra on rigged Hilbert spaces. Our approach does not require prior knowledge about the eigenfunctions, such as asymptotics or other analytic properties. Instead, we carefully sample the range of the resolvent operator
Matthew J. Colbrook, Andrew Horning, T.F. Xie   +2 more
openalex   +3 more sources

Time Asymmetric Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2011
The meaning of time asymmetry in quantum physics is discussed. On the basis of a mathematical theorem, the Stone-von Neumann theorem, the solutions of the dynamical equations, the Schrödinger equation (1) for states or the Heisenberg equation (6a) for ...
Arno R. Bohm, Manuel Gadella, Piotr Kielanowski   +2 more
doaj   +1 more source

Method of intermediate problems in the Fröhlich polaron model

Condensed Matter Physics, 2009
Method of intermediate problems in the theory of linear semi-bounded self-adjoint operators on rigged Hilbert space was applied to the investigation of the ground state energy of the Fröhlich polaron model. It was shown that various infinite sequences of
A.V. Soldatov
doaj   +1 more source

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

An Axiomatic Approach to Mild Distributions

Axioms
The Banach Gelfand Triple (S0,L2,S0′) consists of the Feichtinger algebra S0(Rd) as a space of test functions, the dual space S0′(Rd), known as the space of mild distributions, and the intermediate Hilbert space L2(Rd). This Gelfand Triple is very useful
Hans G. Feichtinger
doaj   +1 more source