Methods of Bosonic Path Integrals Representations de Luiz C L Botelho

Methods of Bosonic Path Integrals Representations: Random System in Classical Physics

Luiz C L Botelho

Special Internet Categories: Physics; Engineering Quantum Physics; Applied Mathematics. The emphasis in this monograph is on non-trivial path integral variable change on previously obtained path integral solutions for difficult stochastic and functional equations by keeping the main objective to arrive at... another path integral which the author expects to be in a 'final' suitable form of become predictive. Note that path-integrals are mathematical objects specially taylored to the work of our modern 'slavers': Computer machines.

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CONTENTS: Preface; Bosonic Path Integrals; Nelson's Stochastic Mechanics by Means of Feynman Path Integrals; Feymman path-integrals for Brownian Classical Motions; (1+1)-dimensional Burger turbulence in the framework of Hopf-Cole Transformation and Feymman Trajectories path-integrals; Feynman-Wiener Path Integral Representations for the Quantum Harmonic Oscillator with Time-Dependent Stochastic Frequency: Quantum Brownian Motions and Navier-Stokes Weakly Turbulence; Some studies on functional integrals representations for fluid motion with random conditions; Statistics turbulence suppression by a strong magnetic field: A Feynman path integral argument; A non-linear diffusion equation, Some existence and uniqueness results on weak solutions for random initial conditions and its path integral representation -- a mathematical methods approach; The Exact Evalution of the Response Function for Wave Propagation in Random Media: A Functional Integral Approach; On the Abstract Method of Integration for Wave Equation and some Applications for Wave Physics; Feynman Path-Integral Studies for Quantum Particles Propagators Interacting with Environments; The Quantum Fractional Dimensional Brownian Motion: A Path-Integral Study; Ohm's Law: A Langevin Path-Integral Study at Classical and Quantum W.K.B. Regime; On the Statistical of An Ideal Gas with Mass Fluctuations and the Boltzman Ergodic Theorem: The Combined Boltzman-Tsallis Statistics; The Suppression of the Quantum Phenomena by an External Strong White-Noise Magnetic Field: A Path Integral Argument; Index.