Mathematical Modelling and Analysis, 1998 The qualitative properties of perturbed differential equations are investigated. The analogies of the classical Weyl theorem are proved.
V. A. Erovenko
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Spectral Theory for a Mathematical Model of the Weak Interaction: The Decay of the Intermediate Vector Bosons W ±, II [PDF]
Annales Henri Poincaré, 2011 To appear in Ann.
Aschbacher, Walter H. +3 more
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Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W± [PDF]
Advances in Mathematical Physics, 2009 We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the full family of leptons. The Hamiltonian is a self‐adjoint operator in an appropriate Fock space with a unique ground state. We prove a Mourre estimate and a limiting absorption principle above the ground state energy and below the first threshold for a ...
Barbaroux, Jean-Marie, Guillot, J. -C.
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Spectral theory of a mathematical model in Quantum Field Theory for any spin
, 2012 In this paper we use the formalism of S.Weinberg in order to construct a mathematical model based on the weak decay of hadrons and nuclei. In particular we consider a model which generalizes the weak decay of the nucleus of the cobalt. We associate with this model a Hamiltonian with cutoffs in a Fock space.
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Mathematical Analysis of Spectral Graph Neural Networks Using Algebraic and Spectral Graph Theory
Graph Neural Networks (GNNs) have become an important class of learning models for graph-structured data arising in social networks, communication systems, biological networks, recommendation systems, and scientific computing. Although GNNs have achieved remarkable success in modern Artificial Intelligence, their rigorous mathematical foundations ...
Shaik Mohiddin Shaw, Narayana Boppana
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Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations [PDF]
N/A, 2012 W. Arendt +5 more
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Spectral Arithmetic Framework Unified Mathematical Theory
This paper presents the complete mathematical theory of the Spectral Arithmetic Framework with rigorous proofs across four independent domains: number theory, cascaded networking, quantum process tomography, and autonomous robotics. Twenty-one hidden structures are identified and proven, including the Arithmetic Hamiltonian (HS-21): the free boson ...
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Spectral Number Theory: Triune Dynamic Equilibrium Mathematical System
This paper establishes a new branch of mathematics — Spectral Number Theory (SNT). Rooted in the Triune Dynamic Equilibrium philosophy of I Ching Ge-Wu-Lun (I Ching Methodology of Investigating Things), SNT unifies number theory, Fourier analysis, topology, and quantum physics within a single axiomatic system.
Jianjun Zhou +2 more
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Partial Differential Equations, Spectral Theory, and Mathematical Physics [PDF]
, 2021 openaire +2 more sources
, 2019 Proceedings of the ICA 2019 and EAA Euroregio : 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019 : 9-13 September 2019, Aachen, Germany / proceedings editor: Martin Ochmann, Michael Vorländer, Janina Fels 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019, ICA 2019, Aachen, Germany, 9 Sep 2019 - 13 ...
Onwubiko, Stephen G. +2 more
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