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A non-perturbative method which can go beyond the weak coupling perturbation theory is introduced. Essential idea is to formulate a set of exact differential equations as a function of the coupling s...
Green Function of the Morse Potential Using Perturbation Series
Morse potential Green function Propagator Path integral Perturbation series Fourier transform
2010/4/9
We find the Green function of the Schrodinger equation for the Morse potential using perturbation series. By Fourier transformation on the end point of the perturbation series, and with some formulas ...
Functional-Integral Based Perturbation Theory for the Malthus-Verhulst Process
Birth-and-death process Master equation Path integral Omega-expansion Doi formalism
2010/10/13
We apply a functional-integral formalism for Markovian birth and death processes to determine asymptotic corrections to mean-field theory in the Malthus-Verhulst process (MVP). Expanding about the sta...
Scalar Perturbation in a Black Hole localized on a Brane
Scalar Perturbation a Black Hole on a Brane
2010/10/18
In this work we study a scalar perturbation in a brane black hole with Schwarzschild behavior, localized on the brane. This black hole solution was derived by Casadio, Fabbri and Mazzacurati with the ...