BLECK:
FOUNDATIONS OF PHYSICS "This book is complementary to others that also cover aspects of the theory of stochastic processes as applied to physical phenomena. No other book covers the Fokker-Planck equation as clearly and thoroughly, and I consider this book to be a necessary volume for any researcher in the area of stochastic processes in the physical sciences."
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This book deals with the derivation of the Fokker-Planck equation, methods of solving it and some of its applications. Various methods such as the simulation method, the eigenfunction expansion, numerical integration, the variational method, and the matrix continued-fraction method are discussed. This is the first time that this last method, which is very effective in dealing with simple Fokker-Planck equations having two variables, appears in a textbook. The methods of solution are applied to the statistics of a simple laser model and to Brownian motion in potentials. Such Brownian motion is important in solid-state physics, chemical physics and electric circuit theory. This new study edition is meant as a text for graduate students in physics, chemical physics, and electrical engineering.
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