Three-Dimensional Eigenvalues of Harmonic Oscillator- and Coulomb-type Potentials from One-Dimensional Generalized Morse Potential: Perturbative Analyse based on Generalized Laguerre Polynomials [PDF]
Eur. Phys. J. Plus 138, 1007 (2023), 2023 We present perturbative energy eigenvalues (up to second order) of Coulomb- and harmonic oscillator-type fields within a perturbation scheme. We have the required unperturbed eigenvalues ($E_{n}^{(0)}$) analytically obtained by using similarities between the expressions obtained from unperturbed Hamiltonian(s) for two fields and obtained from the ones ...
arxiv +1 more source
On the Displacement of Eigenvalues When Removing a Twin Vertex
Discussiones Mathematicae Graph Theory, 2020 Twin vertices of a graph have the same open neighbourhood. If they are not adjacent, then they are called duplicates and contribute the eigenvalue zero to the adjacency matrix.
Briffa Johann A., Sciriha Irene
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Real Valued Functions for the BFKL Eigenvalue
Universe, 2021 We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in N=4 super Yang-Mills theory as a real valued function of two variables.
Mohammad Joubat, Alex Prygarin
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Soft photon radiation and entanglement
European Physical Journal C: Particles and Fields, 2021 We study the entanglement between soft and hard particles produced in generic scattering processes in QED. The reduced density matrix for the hard particles, obtained via tracing over the entire spectrum of soft photons, is shown to have a large ...
Anastasios Irakleous +2 more
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Use the perturbation method to find the solvability condition for a particular boundary value problem. [PDF]
مجلة التربية والعلم, 2009 We study in this paper, how to use the perturbation method to find the solvability condition for certain boundary value problem of fourth order which has the form: with Where is an eigenvalue and is a continuous function defined on ...
Lamyaa Sadoon
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Perturbation series for Jacobi matrices and the quantum Rabi model [PDF]
Opuscula Mathematica, 2021 We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum.
Mirna Charif, Lech Zielinski
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Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given.
Larisa V Stepanova, Ekaterina M Adylina
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Perturbation theory for plasmonic eigenvalues [PDF]
Physical Review B, 2009 We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system for the potential which determines the plasmonic eigenvalues into an inhomogeneous system for the potential's ...
Svend-Age Biehs +5 more
openaire +3 more sources
Perturbations of nonlinear eigenvalue problems
Communications on Pure & Applied Analysis, 2019 arXiv admin note: text overlap with arXiv:1804 ...
Papageorgiou, Nikolaos S. +2 more
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Topology uniformity pinning control for multi-agent flocking
Complex & Intelligent Systems, 2023 The optimal selection of pinning nodes for multi-agent flocking is a challenging NP-hard problem. Current pinning node selection strategies mainly rely on centrality measures of complex networks, which lack rigorous mathematical proof for effective ...
Jintao Liu +4 more
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