Quantum Perturbation Theory and the Correspondence Principle
, 2020 In (1), standard quantum perturbation theory is developed using Vo(x)+bV(x), W(x)=Wo(x)+bn1(x)+b*bn2(x)+... and E=Eo+E1b+b*bE2+... where b is small. These values are inserted into the time-independent Schrodinger equation and terms with like order of b collected. Multiplying by Wo and integrating over x yields an expression for Ei. Multiplying by Wk(x)
Francesco R. Ruggeri
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The Quantum Action Principle in the Framework of Causal Perturbation Theory [PDF]
, 2009 20 pages. Contribution to the Conference on 'Recent Developments in Quantum Field Theory' held from July 20 to July 22, 2007 at the Max Planck Institute for Mathematics in the Sciences, Leipzig ...
Brennecke, Ferdinand, Duetsch, Michael
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The Minimum Environmental Perturbation Principle: A New Perspective on Niche Theory [PDF]
bioRxiv, 2019 Contemporary niche theory is a powerful conceptual framework for understanding how organisms interact with each other and with their shared environment.
R. Marsland, Wenping Cui, Pankaj Mehta
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Multi-reference many-body perturbation theory for nuclei [PDF]
European Physical Journal A, 2021 In spite of missing dynamical correlations, the projected generator coordinate method (PGCM) was recently shown to be a suitable method to tackle the low-lying spectroscopy of complex nuclei.
M. Frosini +8 more
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Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity [PDF]
, 2022 The results of renormalized perturbation theory, in QCD and other quantum field theories, are ambiguous at any finite order, due to renormalization-scheme dependence.
Stevenson, P.M.
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Hille–Nehari type criteria and conditionally oscillatory half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We study perturbations of the generalized conditionally oscillatory half-linear equation of the Riemann–Weber type. We formulate new oscillation and nonoscillation criteria for this equation and find a perturbation such that the perturbed Riemann–Weber ...
Simona Fišnarová, Zuzana Pátíková
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THE ENHANCED HOMOTOPY PERTURBATION METHOD FOR AXIAL VIBRATION OF STRINGS
Facta Universitatis, Series: Mechanical Engineering, 2021 A governing equation is established for string axial vibrations with temporal and spatial damping forces by the Hamilton principle. It is an extension of the well-known Klein-Gordon equation.
Jihuan He, Y. El‐Dib
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Perturbatıon Solution for a Cracked Euler-Bernoulli Beam
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The natural frequencies and mode shapes of an Euler-Bernoulli beam with a rectangular cross- section, which has a surface crack, is investigated. The crack is modeled as a change (sudden or gradual) in the cross-section of the beam, and a modified ...
Lütfi Emir Sakman
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Perturbed generalized half-linear Riemann–Weber equation – further oscillation results
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We establish new oscillation and nonoscillation criteria for the perturbed generalized Riemann–Weber half-linear equation with critical coefficients \begin{equation*} (\Phi(x'))'+\left(\frac{\gamma_p}{t^p}+\sum_{j=1}^n\frac{\mu_p}{t^p\mbox{Log}_j^2 t ...
Simona Fišnarová, Zuzana Pátíková
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Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
Physics, 2021 The classical uncertainty principle inequalities are imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle is reformulated in terms of proper space–time length element, Planck length ...
David Escors, Grazyna Kochan
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