Results 271 to 280 of about 26,373 (304)

Integration of Functionals, PCM and Stochastic Integral Equations

2021
The mathematical theory of functional integration was developed in the fifties to be applied to problems in probability and quantum field theory. We’re not interested in the formal theory, but in its more practical form which can actually be used to generate numbers.
Harold A. Sabbagh, R. Kim Murphy, Elias H. Sabbagh, Liming Zhou, Russell Wincheski   +4 more
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Functional equations for path integrals

Journal of Statistical Physics, 1984
We consider the density matrices that arise in the statistical mechanics of the electron-phonon systems. In the path integral representation the phonon coordinates can be eliminated. This leads to an action that depends on pairs of points on a path, that depends explicitly on time differences, and that contains the phonon occupation numbers.
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Functional equations for Feynman integrals

Physics of Particles and Nuclei Letters, 2011
New types of equations for Feynman integrals are found. It is shown that the latter satisfy functional equations that relate integrals with different kinematics. A regular method for obtaining such relations is proposed. A derivation of the functional equations for one-loop two-, three-, and four-point functions with arbitrary masses and external ...
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Differential equation for a functional integral

Theoretical and Mathematical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Green’s Functions and Integral Equations

1986
In this and subsequent chapters we shall be concerned with the vibration of, and in particular the inverse problems for, three systems with continuously distributed mass: the taut vibrating string, and the rod in longitudinal or torsional vibration. In the first three sections of this chapter we shall state the governing differential equations, discuss
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Marriage Function as an Integral Equation

2015
If we agree that fertility decline occurs independently of background, we can further assume that marriages occur independently of their background. Moreover, we can express a theoretical marriage function that is background-independent as an integral equation.
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Function Spaces and Integral Equations

1986
The set E ⊂ R n is called a set of (n-dimensional) measure zero if for each positive e there exists a countable set of open (n-dimensional) cubes that cover E and whose total volume is less than e.
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INTEGRAL EQUATIONS FOR HEUN FUNCTIONS

The Quarterly Journal of Mathematics, 1942
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Application of fixed point theorem to solvability of functional stochastic integral equations

Applied Mathematics and Computation, 2022
M Kazemi
exaly  

Integrated Cauchy Functional Equations on ℝ

1991
RAMACHANDRAN BALASUBRAHMANYAN, KA-SING LAU   +1 more
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