Variational perturbation theory

From Biocrawler, the free encyclopedia.

Mathematical method to convert divergent power series in a small expansion parameter, say , into convergent series in powers , where ω is a critical exponent. This is possible with the help of variational parameters, which are determined by optimization order by order in g.

Variational perturbation theory is an important mathematical tool in the theorie of critical phenomena. It has led to the most accurate predictions of critical exponents.

Literatur

• Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 3. Auflage, World Scientific (Singapore, 2004) (http://www.worldscibooks.com/physics/5057.html) (readable online here (http://www.physik.fu-berlin.de/~kleinert/b5)) (see Chapter 15)

• Critical Properties of φ⁴-Theories, World Scientific (Singapur, 2001) (http://www.worldscibooks.com/physics/4733.html); Paperback ISBN 981-02-4658-76 (readable online here (http://www.physik.fu-berlin.de/~kleinert/b8)) (see Chapter 19)

Wikipedia (http://en.wikipedia.org/wiki/Main_Page) Variational_perturbation_theory (http://en.wikipedia.org/wiki/Variational_perturbation_theory) version history (http://en.wikipedia.org/w/index.php?title=Variational_perturbation_theory&action=history) GNU Free Documentation Lizenz (http://en.wikipedia.org/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License) CC-by-sa (http://creativecommons.org/licenses/by-sa/2.5/)

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