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On the Asymptotic Behavior of the Secular Perturbation Function in the Circular Restricted Three-Body Problem
AbstractThe asymptotic behavior of the secular perturbation function expanded in a power series in μ, the ratio of the semimajor axes of the massless...
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Linearised Perturbation of Constant Mass Aspect Function Foliation in Schwarzschild Black Hole Spacetime
We study the linearised perturbation of the constant mass aspect function foliation in a Schwarzschild black hole spacetime. In particular, we...
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Computer Simulation of the Total Energy and Shielding Function of a Carbon Molecule Using the First-Order Perturbation Theory
AbstractUsing a new approach to the problem of calculating the total energy of a diatomic molecule in terms of the first-order perturbation theory,...
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2 Cosmological Perturbation Theory
This is a review on cosmological perturbation theory. After an introduction, it presents the problem of gauge transformation. Gauge invariant...
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Perturbation Theory
In perturbation theory, the new state of the reactor as a result of the introduction of small perturbations can be predicted using a short cut...
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The Matrix Perturbation Method
The Matrix Perturbation Method is presented as a novel technique for obtaining approximate solutions to the Schrödinger equation in non-relativistic...
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Perturbation Theory
Perturbation theory (PT) represents one of the bridges that takes us from a simpler, exactly solvable (unperturbed) problem to a corresponding real...
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The Matrix Perturbation Method in Quantum Mechanics
This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application...
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Perturbation Theory at Zero Temperature
Since, in general, it is difficult to evaluate \(G(\textbf{k}, \omega )\)...
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Group Theory in Stationary Perturbation Theory Calculations
This chapter focuses on the usefulness of group theory in the stationary perturbation theory. In Sect. 8.1, we revisit Rayleigh-Schrödinger...
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Local infrared safety in time-ordered perturbation theory
We develop a general expression for weighted cross sections in leptonic annihilation to hadrons based on time-ordered perturbation theory (TOPT). The...
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Standard Time-Dependent Perturbation Theory
We present the standard time-dependent perturbation theory in this chapter. The method of variation of constants and the Dyson series are...
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Black hole perturbation theory and multiple polylogarithms
We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive ...
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Expansion of the Perturbation Function
We now consider an example scenario in which a body of interest is perturbed by a disturbing body, both of which are in orbit about a common central...
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Examples of the Matrix Perturbation Method
In this chapter we present several examples of the Matrix Perturbation Method. First, we analyze the harmonic oscillator perturbed by a linear...
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Internal Gravity Waves Excited by Motionless Perturbation Sources
AbstractIn this work the authors construct the asymptotics of solutions describing internal gravity waves excited by a motionless localized...
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The Matrix Perturbation Method for the Lindblad Master Equation
This chapter presents the Matrix Perturbation Method for the Lindblad master equationMatrix Perturbation MethodLindblad master equation, which...
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Conformal perturbation theory for n-point functions: structure constant deformation
We consider conformal perturbation theory for n -point functions on the sphere in general 2D CFTs to first order in coupling constant. We regulate...
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Flow-oriented perturbation theory
We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it,...
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Method of Circular Gaussian Rings in Perturbation Theory
AbstractAn extended approach to the model of circular Gaussian rings is developed to study the secular evolution of the orbits of two planets under...
