# Yurii Shirokov

**Yurii Shirokov**, (Широков, Юрий Михайлович 21.6.1921—5.7.1980), mathematician, physicist, professor, writer.
Graduated from Moscow State University (Moscow) in 1948. Worked in the same university, then in the Steklov Mathematical Institute (Moscow). He wrote more than 100 scientific papers
^{[1]}
and several monographs, among which the textbook "Nuclear Physics"
^{[2]}.

## Contents

## Algebra of generalized functions

Yu.Shirokov had constructed the Algebra of Generalized functions ^{[3]}^{[4]}.
Then it had been applied to various physical systems
^{[5]}^{[6]}^{[7]}.

## Classical and quantum mechanics

Shirokov was, perhaps, not the first to mention that quantum mechanics has many classical limits. The Planck constant \(~\hbar~\) appears in many relations, and there are many options to keep some of parameters (or even to vary them all) as \(~\hbar \rightarrow 0~\). The most known limiting cases of quantum mechanics are classical waves and Newtonian mechanics. Shirokov has systematised the construction of classical limits of quantum mechanics, see
^{[8]}.

## Development of Shirokov's ideas

The most important ideas about the quantum mechanics and the theoretical physics in general formulated by
Shirokov are not yet developed.^{[9]} In particular, the field theory in terms of wave packets (i.e., without divergent terms and without divergent series) is not yet constructed.

Shirokov is represented at four Wikipedias
^{[10]} and at Wikisource
^{[11]}.

Part of this material previously appeared at Wikipedia.

## References

- ↑ Широков Юрий Михайлович at "Biography" (in Russian), http://www.biografija.ru/show_bio.aspx?id=137184
- ↑ Yu.M.Shirokov, N.P.Yudin. Nuclear Physics. 1983, isbn 978-0828524513 http://www.amazon.co.uk/Nuclear-Physics-Yu-M-Shirokov/dp/0828524513
- ↑
http://springerlink.metapress.com/content/w3010821x8267824/?p=5bb23f98d846495c808e0a2e642b983a&pi=3
Yu.M.Shirokov,
.
Algebra of one-dimensional generalized functions
TMF
**39**p.471–477 (1979) - ↑
http://springerlink.metapress.com/content/hg5w86077wnp2637/?p=5bb23f98d846495c808e0a2e642b983a&pi=0
Yu.M.Shirokov,
.
Algebra of three-dimensional generalized functions
TMF
**40**p.790–794 (1979) - ↑ http://www.springerlink.com/content/k2164755540243kw/
O.G.Goryaga,
Yu. M. Shirokov.
Energy levels of an oscillator with singular concentrated potential
TMF
**46**p.321–324 (1981) - ↑ http://springerlink.metapress.com/content/n620p80368770623/?p=2dec3e2814434eef9b18c6eeace9841d&pi=36
S.V.Talalov,
Yu.M.Shirokov.
Interaction of a charged particle with an external electromagnetic field in the presence of a strongly singular potential
TMF
**46**p.207–210 (1981) - ↑ http://springerlink.metapress.com/content/nlnq818641568706/?p=ec1cea4940d049e9a606f4895c63e296&pi=6
G. K. Tolokonnikov,
.
Differential rings used in Shirokov algebras
TMF
**53**p.952–954 (1982) - ↑ http://springerlink.metapress.com/content/l7h814r038750752/?p=5567f939c2764f8eaba7e8e684101a40&pi=24
Yu.M.Shirokov,
.
Perturbation theory with respect to Planck's constant
TMF
**31**p.488–492 (1977) - ↑
http://www.turpion.org/php/paper.phtml?journal_id=pu&paper_id=4852
N N Bogolyubov,
S N Vernov, V S Vladimirov, A A Logunov, M K Polivanov, V E Troitskiĭ, D V Shirokov.
Yuriĭ Mikhaĭlovich Shirokov (Obituary)
Sov.Phys.Uspekhi
**24**p.526–527 (1981) - ↑ http://en.wikipedia.org/wiki/Yurii_Shirokov
- ↑ http://en.wikisource.org/wiki/Algebra_of_generalized_functions_%28Shirokov%29