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 :

\int_0^\infty f(x)  dx \equiv \lim_\int_0^\infty f(x) e^ dx.

and, for divergent series, byOrlov, 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. :

\sum_n c_n  \equiv \lim_\sum_n c_n e^.

References

{{reflist, 30em Summability methods Concepts in physics

See also

References