# Yurii Shirokov

Yurii Shirokov, (Широков, Юрий Михайлович 21.6.1921—5.7.1980) was a writer, physicist, and professor. He graduated from Moscow State University (Moscow) in 1948. He 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" is particularly relevant. .[2]

## Algebra of generalized functions

Yu.Shirokov had constructed the Algebra of Generalized functions.[3][4] Then it was applied to various 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 ${\displaystyle ~\hbar ~}$  appears in many relations, and there are many options to keep some of parameters (or even to vary them all) as ${\displaystyle ~\hbar \rightarrow 0~}$ . 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.

## References

1. ^ Широков Юрий Михайлович at "Biography" (in Russian), http://www.biografija.ru/show_bio.aspx?id=137184
2. ^ Yu.M.Shirokov; N.P.Yudin (1983). Nuclear Physics. (Imported Pubn). ISBN 978-0-8285-2451-3.
3. ^ Yu.M.Shirokov (1979). "Algebra of one-dimensional generalized functions". TMF. 39 (3): 471–477. Bibcode:1979TMP....39..471S. doi:10.1007/BF01017992. S2CID 189852974.
4. ^ Yu.M.Shirokov (1979). "Algebra of three-dimensional generalized functions". TMF. Springer New York. 40 (3): 790–794. Bibcode:1979TMP....40..790S. doi:10.1007/BF01032064. ISSN 1573-9333. S2CID 120384030.
5. ^ O.G.Goryaga; Yu. M. Shirokov (1981). "Energy levels of an oscillator with singular concentrated potential". TMF. 46 (3): 321–324. Bibcode:1981TMP....46..210G. doi:10.1007/BF01032729. S2CID 123477107.
6. ^ S.V.Talalov; Yu.M.Shirokov (1981). "Interaction of a charged particle with an external electromagnetic field in the presence of a strongly singular potential". TMF. Springer New York. 46 (3): 207–210. Bibcode:1981TMP....46..207T. doi:10.1007/BF01032728. ISSN 1573-9333. S2CID 122195076.
7. ^ G. K. Tolokonnikov (1982). "Differential rings used in Shirokov algebras". TMF. 53 (1): 952–954. Bibcode:1982TMP....53..952T. doi:10.1007/BF01014789. S2CID 123078052.
8. ^ Yu.M.Shirokov (1977). "Perturbation theory with respect to Planck's constant". TMF. Springer New York. 31 (3): 488–492. Bibcode:1977TMP....31..488S. doi:10.1007/BF01030565. ISSN 1573-9333. S2CID 122765235.
9. ^ N N Bogolyubov; S N Vernov, V S Vladimirov, A A Logunov, M K Polivanov, V E Troitskiĭ, D V Shirokov (1981). "Yuriĭ Mikhaĭlovich Shirokov (Obituary)". Sov. Phys. Uspekhi. 24 (6): 526–527. Bibcode:1981SvPhU..24..526B. doi:10.1070/PU1981v024n06ABEH004852.CS1 maint: multiple names: authors list (link)