Variational perturbation theory
From Wikipedia, the free encyclopedia
In mathematics, variational perturbation theory is a mathematical method to convert divergent power series in a small expansion parameter, say
,
into a 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 theory of critical phenomena. It has led to the most accurate predictions of critical exponents.
[edit] See also
[edit] References
- Hagen Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 3. Auflage, World Scientific (Singapore, 2004) (readable online here) (see Chapter 15)
- Hagen Kleinert and Verena Schulte-Frohlinde, Critical Properties of φ4-Theories, World Scientific (Singapur, 2001); Paperback ISBN 981-02-4658-7 (readable online here) (see Chapter 19)
