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Green's functions represent one of the classical and widely used issues in the area of differential equations. This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static KleinGordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the BlackScholes equation which has emerged as a mathematical model in financial mathematics. The book is attractive for practical needs: It contains many easily computable or computer friendly representations of Green's functions, includes all the standard Green's functions and many novel ones, and provides innovative and new approaches that might lead to Green's functions. The book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations.
Green's functions.  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)
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Equilibrium and nonequilibrium properties of correlated manybody systems are of growing interest in many areas of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which is equally applied to all these areas is given by quantum field theory. This book provides an overview of the basic ideas and concepts of the method of nonequilibrium Green's functions, written by the leading experts and presented in a way accessible to nonspecialists and graduate students. It is complemented by invited review papers on modern applications
Green's functions  Manybody problem  Quantum theory  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)
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Control theory.  Green's functions.  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Dynamics  Machine theory
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Ordinary differential equations  Mathematical physics  517.95  Partial differential equations  Green's functions.  517.95 Partial differential equations  Green's functions  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)
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Equilibrium and nonequilibrium properties of correlated manybody systems are of growing interest in many fields of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which applies equally to all these areas is given by quantum field theory.Written by the leading experts and understandable to nonspecialists, this book provides an overview on the basic ideas and concepts of the method of nonequilibrium Green's functions. It is complemented by modern applications of the method to a variety of topics, such as optics and transpor
Manybody problem  Green's functions  Quantum theory  Semiconductors  Optics  Coulomb fuctions  Nuclear matter  Matter, Nuclear  Matter  Nuclear structure  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Constitution
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A detailed exposition, with applications to problems in potential theory and quantum field theory.
Green's functions.  Exponential functions.  Mathematical physics.  Physical mathematics  Physics  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Mathematics
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The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, selfcontained introduction to nonequilibrium manybody theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the timedependent aspect. Every result
Green's functions.  Manybody problem.  Quantum theory  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  nbody problem  Problem of many bodies  Problem of nbodies  Mechanics, Analytic  Mathematics.
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Mathematical physics  Solid state physics  538.9  Physics of condensed matter (in liquid state and solid state)  Green's functions.  Mathematics.  538.9 Physics of condensed matter (in liquid state and solid state)  Green's functions  Physics  Solids  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Mathematics
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Mathematical analysis  Mathematical physics  Solid state physics  Green's functions  Matter  530.1  Atoms  Dynamics  Gravitation  Physics  Substance (Philosophy)  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Properties  Mathematics  Basic principles of physics  Green's functions.  Mathematics.  530.1 Basic principles of physics  530.1  Properties&delete&  Mathematics
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Plasma (Ionized gases)  Quantum statistics  Green's functions  Plasma (Gaz ionisés)  Statistique quantique  Green, Fonctions de  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Quantum statistical mechanics  Matrix mechanics  Statistical mechanics  Wave mechanics  Gaseous discharge  Gaseous plasma  Magnetoplasma  Ionized gases  Plasma (Gaz ionisés)
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