Results 321 to 330 of about 11,885,573 (368)

Partition function from the Green function

Journal of Physics A: Mathematical and General, 1984
The partition function in quantum statistical mechanics can be expressed as an energy integral of exp(- beta E) times the discontinuity of the Green function. A Monte Carlo approach for its evaluation which is not based on path integral representation is suggested. The fermion problem is avoided in the sense that all integrands are positive.
Avishai, Y., Richert, J.
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Variation of Green's Functions

Journal of Mathematical Physics, 1966
The variation of the Green's function of a linear differential operator is computed as the variation of an n-tuple integral with variable boundary. This generalization of Hadamard formula is shown to lead naturally to the method of ``invariant imbedding'' of R. Bellman.
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GREEN FUNCTIONS AND COHOMOLOGY

Mathematics of the USSR-Izvestiya, 1986
Complex Green functions for the Laplace operator on the background of general Yang-Mills fields are interpreted in terms of cohomology in the space of complex light lines by means of the Penrose-Ward transformation.
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Optimal Estimates for the Conductivity Problem by Green’s Function Method

Archive for Rational Mechanics and Analysis, 2016
We study a class of second-order elliptic equations of divergence form, with discontinuous coefficients and data, which models the conductivity problem in composite materials.
Hongjie Dong, Haigang Li
semanticscholar   +1 more source

Correlation Functions as Hydrodynamic Green's Functions

Physical Review, 1968
A formal solution for the thermodynamic variables describing a system in a nonequilibrium state is given in terms of space- and time-dependent correlation functions. The solution during the hydrodynamic stage is also given by the Green's function solution to the hydrodynamic equations. The correlation functions contain information, not contained in the
Dufty, J. W., McLennan, J. A.
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Local Green’s function. I

Journal of Mathematical Physics, 1987
The local Green’s function is used in many physical problems. In this paper, the properties of the local Green’s function are studied, and it is proved that the N×N local Green’s function can represent the results of the full N1×N1 Green’s function, where N is small (or at least finite) and N1 is large (or infinite). The accuracy of cutting the general
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Green’s Functions for ODE

2011
As was convincingly shown in Chap. 3, the methods of images and conformal mapping are helpful in obtaining Green’s functions for the two-dimensional Laplace equation. But it is worth noting, at the same time, that the number of problems for which these methods are productive, is notably limited.
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Green’s Functions

2016
The focus of this chapter is a detailed analysis of two specific positive definite functions, each one defined in a fixed finite interval, centered at x = 0. Rationale: The examples serve to make explicit some of the many connections between our general theme (locally defined p.d. functions and their extensions), on the one hand; and probability theory
Palle Jorgensen, Steen Pedersen, Feng Tian   +2 more
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Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase.

Physical review. E, Statistical, nonlinear, and soft matter physics, 2004
R. Snieder
semanticscholar   +1 more source

Green's-function approach to linear response in solids.

Physical Review Letters, 1987
S. Baroni, P. Giannozzi, A. Testa
semanticscholar   +1 more source