Results 1 to 10 of about 222 (98)

Quantum Mechanics and Its Evolving Formulations [PDF]

Entropy, 2021
In this paper, we discuss the time evolution of the quantum mechanics formalism. Starting from the heroic beginnings of Heisenberg and Schrödinger, we cover successively the rigorous Hilbert space formulation of von Neumann, the practical bra-ket ...
Jean-Pierre Antoine
doaj   +2 more sources

Mathematical Models for Unstable Quantum Systems and Gamow States [PDF]

Entropy, 2022
We review some results in the theory of non-relativistic quantum unstable systems. We account for the most important definitions of quantum resonances that we identify with unstable quantum systems.
Manuel Gadella, Sebastián Fortín, Juan Pablo Jorge, Marcelo Losada   +3 more
doaj   +2 more sources

Operators in Rigged Hilbert Spaces, Gel’fand Bases and Generalized Eigenvalues [PDF]

Mathematics, 2022
Given a self-adjoint operator A in a Hilbert space H, we analyze its spectral behavior when it is expressed in terms of generalized eigenvectors.
Jean-Pierre Antoine, Camillo Trapanı
openalex   +3 more sources

Unified exact WKB framework for resonance — Zel’dovich/complex-scaling regularization and rigged Hilbert space — [PDF]

Journal of High Energy Physics
We develop a unified framework for analyzing quantum mechanical resonances using the exact WKB method. The non-perturbative formulation based on the exact WKB method works for incorporating the Zel’dovich regularization, the complex scaling method, and ...
Okuto Morikawa, Shoya Ogawa
openalex   +2 more sources

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

International 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

IET 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, Vahid Abolghasemi, Saideh Ferdowsi, Reza Bazghandi   +3 more
wiley   +1 more source

Data mining in predictive maintenance systems: A taxonomy and systematic review

WIREs Data Mining and Knowledge Discovery, Volume 12, Issue 5, September/October 2022., 2022
Predictive Maintenance from a Data Mining perspective: this review analyzes the most significant predictive maintenance (PdM) contributions in recent years from Data Mining (DM) perspective. An exhaustive study is carried out to determine the most used DM techniques for solving each specific PdM problem.
Aurora Esteban, Amelia Zafra, Sebastián Ventura   +2 more
wiley   +1 more source

Generalized boundary triples, II. Some applications of generalized boundary triples and form domain invariant Nevanlinna functions

Mathematische Nachrichten, Volume 295, Issue 6, Page 1113-1162, June 2022., 2022
Abstract The paper is a continuation of Part I and contains several further results on generalized boundary triples, the corresponding Weyl functions, and applications of this technique to ordinary and partial differential operators. We establish a connection between Post's theory of boundary pairs of closed nonnegative forms on the one hand and the ...
Volodymyr Derkach, Seppo Hassi, Mark Malamud   +2 more
wiley   +1 more source

Groups, Special Functions and Rigged Hilbert Spaces

Axioms, 2019
We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo   +2 more
doaj   +1 more source

An Improved Bearing Fault Diagnosis Model of Variational Mode Decomposition Based on Linked Extension Neural Network

Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022
In bearing fault diagnosis, due to the insufficient obtained supervised data and the inevitable noise contained in the vibration signals, the problem of clustering bearing fault diagnosis with imbalanced data containing noise is caused. Thanks to the ability to quickly and fully learn boundary information in small samples, the extension neural network ...
Tichun Wang, Jiayun Wang, Huihua Chen
wiley   +1 more source