Path integral formulation - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Path_integral_formulation
... the Wiener integral for solving problems in diffusion and Brownian motion. .... The result is a sum over paths with a phase which is the quantum action.
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[PDF]the feynman integral - Mathematical Association of America
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Mathematical Association of America
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by JB KELLER - Cited by 69 - Related articles
This suggested that the Wiener integral Can likewise be used ..... In applying the method of stationary phase to the Feynman integral, we shall use the symbolic ...Oscillatory Integrals with Quadratic Phase Function on a ...
www.sciencedirect.com/science/.../S0022123697932237
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by H Sugita - 1998 - Cited by 25 - Related articles
Stochastic oscillatory integrals with quadratic phase function are studied in the case ... Stratonovich integral and essential continuity of multiple Wiener integral.Path integral: mathematical aspects - Scholarpedia
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Jan 27, 2011 - where \((q(s),p(s))_{s\in[0,t]}\) represents a generic path in the phase space, ... (4) is defined in terms of the following Wiener integral \[\tag{5} \int ...
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hamiltonian formalism - Who developed the phase space ...
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Sep 9, 2014 - This integral, which is now also called the Wiener integral, has played a central role in the further development of the subject of path integration.
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Which functions are Wiener-integrable? - MathOverflow
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Feb 20, 2010 - The Wiener integral is an analytic tool to define certain "integrals" that ... configuration or phase space satisfying certain boundary conditions.
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Mathematical Theory of Feynman Path Integrals: An Introduction
https://books.google.com/books?isbn=3540769544
... equal to a Wiener integral of the same function after a suitable analytic continuation. 10.3. The. Stationary. Phase. Method. and. the. Semiclassical. Expansion.[PDF]introduction to the path integral - Clarkson University
people.clarkson.edu/~lschulma/1988TriestePathIntegralLectures.pdf
by LS Schulman - Cited by 6 - Related articles
approach was to take the Wiener integral and analytically continue. ... integral on the line the stationary phase approximation makes the following assertion: Let.
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Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
https://books.google.com/books?isbn=1400838479
Paul J. Nahin - 2011 - Mathematics
The Paley-Wiener integral doesn't say anything about the phase of the ... |H(ω)| passes the Paley-Wiener integral test then there exists some phase function that,Path Integrals in Physics: Volume I Stochastic Processes ...
https://books.google.com/books?isbn=075030801X
M Chaichian, A Demichev - 2001 - Science
... problems to consideration of the corresponding Wiener integral. ... of quantum mechanics prove to be over paths in the phase space of the system and only in ...
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