Yurii Shirokov

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Yurii Shirokov, (Широков, Юрий Михайлович 21.6.1921—5.7.1980), Writer, Physicist, professor. Graduated from Moscow State University (Moscow) in 1948. Worked in the same university, then in the Steklov Mathematical Institute (Moscow). Wrote 100+ scientific papers ^[1] and several monographies, in particular, texbook "Nuclear Physics" ^[2].

Contents 1 Algebra of generalized functions 2 Classical and quantum mechanics 3 Development of Shirokov's ideas 4 References

[edit] 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].

[edit] Classical and quantum mechanics

Perhaps, Shirokov was not first who mentioned that the quantum mechanics has many classical limits. The Planck constant appears in many relations, and there are many options to keep some of parameters (or even to vary them all) as . 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].

[edit] 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.

[edit] 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. 
3. ^ Yu.M.Shirokov (1979). "Algebra of one-dimensional generalized functions". TMF 39 (3): 471-477. 
4. ^ Yu.M.Shirokov (1979). "Algebra of three-dimensional generalized functions". TMF 40 (3): 790-794. Springer New York. 
5. ^ O.G.Goryaga; Yu. M. Shirokov (1981). "Energy levels of an oscillator with singular concentrated potential". TMF 46: 321–324. 
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 46 (3): 207-210. Springer New York. 
7. ^ G. K. Tolokonnikov (1982). "Differential rings used in Shirokov algebras". TMF 53 (1): 952-954. 
8. ^ Yu.M.Shirokov (1977). "Perturbation theory with respect to Planck's constant". TMF 31 (3): 488-492. 
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.