Zeldovich regularization refers to a
regularization method to calculate
divergent integrals and
divergent series
In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.
If a series converges, the individual terms of the series mus ...
, that was first introduced by
Yakov Zeldovich
Yakov Borisovich Zeldovich (, ; 8 March 1914 – 2 December 1987), also known as YaB, was a leading Soviet people, Soviet Physics, physicist of Belarusians, Belarusian origin, who is known for his prolific contributions in physical Physical c ...
in 1961. Zeldovich was originally interested in calculating the norm of the
Gamow wave function which is divergent since there is an outgoing spherical wave. Zeldovich regularization uses a
Gaussian type-regularization and is defined, for divergent integrals, by
:
and, for divergent series, by
[Orlov, Y. V., & Irgaziev, B. F. (2008). On the normalization of the Gamov resonant wave function in the configuration space. Bulletin of the Russian Academy of Sciences: Physics, 72, 1539-1543.]
:
See also
*
Abel's theorem
*
Borel summation
References
{{reflist, 30em
Summability methods
Concepts in physics