Research Catalog

Title

Methods of bosonic path integrals representations : random systems in classical physics / Luiz C.L. Botelho.

Author

Botelho, Luiz C. L.

Publication

New York : Nova Science Publishers, [2006], ©2006.

Items in the Library & Off-site

Holdings

Details

Description

xiv, 365 pages; 27 cm

Subject

• Path integrals
• Integral representations

Bibliography (note)

• Includes bibliographical references and index.

Contents

1. Bosonic path integrals -- 2. Nelson's stochastic mechanics by means by Feynman path integrals -- 3. Feymman path-integrals for Brownian classical motions -- 4. (1 + 1)-dimensional Burger turbulence in the framework of Hopf-Cole transformation and Feynman trajectories path-integrals -- 5. Feynman-Wiener path integral representations for the quantum harmonic oscillator with time-dependent stochastic frequency : quantum Brownian motions and Navier-Stokes weakly turbulence -- 6. Some studies on functional integrals representations for fluid motion with random conditions -- 7. Statistics turbulence suppression by a strong magnetic field : a Feynman path integral argument -- 8. 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 -- 9. The exact evaluation of the response function for wave propagation in random media : a functional integral approach -- 10. On the abstract method of integration for wave equation and some applications for wave physics -- 11. Feynman path-integral studies for quantum particles propagators interacting with environments -- 12. The quantum fractional dimensional Brownian motion : a path-integral study -- 13. Ohm's law : a Langevin path-integral study at classical and quantum W.K.B. regime -- 14. On the statistics of an ideal gas with mass fluctuations and the Boltzman ergodic theorem : the combined Boltzman-Tsallis statistics -- 15. The suppression of the quantum phenomena by an external strong white-noise magnetic field : a path integral argument -- 16. Domains of bosonic functional integrals and some applications to the mathematical physics of path integrals -- 17. Statistical turbulence on non-linear parabolic and hyperbolic equations : some mathematical methods results - complements for chapter VIII - -- 18. Some non-perturbative path integral studies of statistical Burger turbulence : strings and stochastic instantons configurations - complements for chapter VI - -- 19. On the ergodic theorem for some non - linear wave propagations - complements for chapters X and XIV -.

ISBN

1594540195 (hardcover)

LCCN

2004015031

OCLC

• ocm55797917
• SCSB-5311700

Owning Institutions

Columbia University Libraries