Широков, Юрий Михайлович: различия между версиями

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eдиный формализм для классической и квантовой механики
eдиный формализм для классической и квантовой механики
<ref name="ef">Единый формализм для классической и квантовой механики</ref>.
<ref name="ef">Единый формализм для классической и квантовой механики</ref>.


<ref name="bib">
Широков Юрий Михайлович at "Biography" (in Russian),
http://www.biografija.ru/show_bio.aspx?id=137184
</ref>
and several monographies, among which the textbook "Nuclear Physics" is particularly relevant.
<ref name ="Nuclear">{{cite book
|author=Yu.M.Shirokov
|coauthors=N.P.Yudin
|title= Nuclear Physics
|ISBN=13: 978-0828524513
|year=1983
|url=http://www.amazon.co.uk/Nuclear-Physics-Yu-M-Shirokov/dp/0828524513
|publisher: (Imported Pubn)
}}</ref>.
===Algebra of generalized functions===
Yu.Shirokov had constructed the Algebra of [[Generalized function]]s <ref name="Algebra">
{{cite journal
|author=Yu.M.Shirokov
|title = Algebra of one-dimensional generalized functions
|journal=[[Theoretical and Mathematical Physics|TMF]]
|year=1979
|volume=39
|issue=3
|pages=471–477
|url=http://springerlink.metapress.com/content/w3010821x8267824/?p=5bb23f98d846495c808e0a2e642b983a&pi=3
}}</ref><ref name="3d">
{{cite journal
|author=Yu.M.Shirokov
|title=Algebra of three-dimensional generalized functions
|journal=[[Theoretical and Mathematical Physics|TMF]]
|publisher=Springer New York
|issn=0040-5779 (Print) 1573-9333 (Online)
|volume=40
|issue=3
|year=1979
|doi=10.1007/BF01032064
|pages=790–794
|url=http://springerlink.metapress.com/content/hg5w86077wnp2637/?p=5bb23f98d846495c808e0a2e642b983a&pi=0
}}</ref>
. Then it was applied to various systems
<ref name="goriaga">{{cite journal
|author=O.G.Goryaga
|coauthors=Yu. M. Shirokov
|title=Energy levels of an oscillator with singular concentrated potential
|journal=[[Theoretical and Mathematical Physics|TMF]]
|year=1981
|volume=46
|number=3
|pages=321–324
|url=http://www.springerlink.com/content/k2164755540243kw/
}}</ref><ref name="tala">{{cite journal
|author=S.V.Talalov
|coauthors=Yu.M.Shirokov
|title=Interaction of a charged particle with an external electromagnetic field in the presence of a strongly singular potential
|journal=[[Theoretical and Mathematical Physics|TMF]]
|publisher=Springer New York
|issn=0040-5779 (Print) 1573-9333 (Online)
|volume=46
|issue=3
|year=1981
|doi=10.1007/BF01032728
|url=http://springerlink.metapress.com/content/n620p80368770623/?p=2dec3e2814434eef9b18c6eeace9841d&pi=36
|pages=207–210
}}</ref><ref name="tolok">{{cite journal
|author=G. K. Tolokonnikov
|title=Differential rings used in Shirokov algebras
|journal=[[Theoretical and Mathematical Physics|TMF]]
|volume=53
|issue= 1
|year=1982
|url=http://springerlink.metapress.com/content/nlnq818641568706/?p=ec1cea4940d049e9a606f4895c63e296&pi=6
|doi=10.1007/BF01014789
|pages=952–954
}}</ref>.

===Classical and quantum mechanics===
Perhaps, Shirokov was not first who mentioned that the quantum mechanics has many classical limits. The [[Planck constant]] <math>~\hbar~</math> appears in many relations, and there are many options to keep some of parameters (or even to vary them all) as <math>~\hbar \rightarrow 0~</math>. 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
<ref name="hbar">{{cite journal
|author=Yu.M.Shirokov
|title=Perturbation theory with respect to Planck's constant
|journal=[[Theoretical and Mathematical Physics|TMF]]
|publisher =Springer New York
|issn=0040-5779 (Print) 1573-9333 (Online)
|volume=31
|issue=3
|year=1977
|doi=10.1007/BF01030565
|pages=488–492
|url=http://springerlink.metapress.com/content/l7h814r038750752/?p=5567f939c2764f8eaba7e8e684101a40&pi=24
}}</ref>.

=== 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 <ref name="obituary">
{{cite journal
|doi=10.1070/PU1981v024n06ABEH004852
|author=N N Bogolyubov
|coauthors= S N Vernov, V S Vladimirov, A A Logunov, M K Polivanov, V E Troitskiĭ, D V Shirokov
|title= Yuriĭ Mikhaĭlovich Shirokov (Obituary)
|journal=[[Sov.Phys.Uspekhi]]
|year=1981
|volume=24
|issue=6
|pages= 526–527
|url=http://www.turpion.org/php/paper.phtml?journal_id=pu&paper_id=4852
}}</ref>. In particular, the field theory in terms of wave packets (i.e., without divergent terms and without divergent series) is not yet constructed.

==References==
<references/>

{{wikisource|Algebra of generalized functions (Shirokov)}}

{{DEFAULTSORT:Shirokov, Yurii}}
[[Category:20th century physicists]]
[[Category:1921 births]]
[[Category:1980 deaths]]
[[Category:Moscow State University alumni]]
[[Category:Moscow State University faculty]]
[[Category:Phield theorists]]
[[Category:Russian physicists]]
[[Category:Soviet physicists]]
{{Russia-bio-stub}}


==ссылки==
==ссылки==

Версия от 07:59, 18 августа 2008

[[Категория:Википедия:Ошибка выражения: неожидаемый оператор <, редактируемые прямо сейчас]]

Файл:05YuMShirokov.jpg

Широков, Юрий Михайлович (21.6.1921—5.7.1980), Физик, математик, профессор. В 1948 г. окончил МГУ. Работал в том же университете, затем в Математийеском институте имени Стеклова. Опубликовал более сотни научных работ. Среди них наиболее известны учебник ядерной физики [1] Алгебра обобщенных функций [2] и eдиный формализм для классической и квантовой механики [3].


[4] and several monographies, among which the textbook "Nuclear Physics" is particularly relevant. [5].

Algebra of generalized functions

Yu.Shirokov had constructed the Algebra of Generalized functions [6][7] . Then it was applied to various systems [8][9][10].

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 [11].

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 [12]. 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. ↑ Ю.М.Шириков, Юдин. Ядерная физика
  2. ↑ Алгебра обобщенных функций
  3. ↑ Единый формализм для классической и квантовой механики
  4. ↑ Широков Юрий Михайлович at "Biography" (in Russian), http://www.biografija.ru/show_bio.aspx?id=137184
  5. ↑ Yu.M.Shirokov. Nuclear Physics. — 1983. — ISBN 13: 978-0828524513.
  6. ↑ Yu.M.Shirokov (1979). "Algebra of one-dimensional generalized functions". TMF. 39 (3): 471—477.
  7. ↑ Yu.M.Shirokov (1979). "Algebra of three-dimensional generalized functions". TMF. 40 (3). Springer New York: 790—794. doi:10.1007/BF01032064. ISSN (Print) 1573-9333 (Online) 0040-5779 (Print) 1573-9333 (Online). {{cite journal}}: Проверьте значение |issn= (справка)
  8. ↑ O.G.Goryaga (1981). "Energy levels of an oscillator with singular concentrated potential". TMF. 46 (3): 321—324. {{cite journal}}: Неизвестный параметр |coauthors= игнорируется (|author= предлагается) (справка)
  9. ↑ S.V.Talalov (1981). "Interaction of a charged particle with an external electromagnetic field in the presence of a strongly singular potential". TMF. 46 (3). Springer New York: 207—210. doi:10.1007/BF01032728. ISSN (Print) 1573-9333 (Online) 0040-5779 (Print) 1573-9333 (Online). {{cite journal}}: Неизвестный параметр |coauthors= игнорируется (|author= предлагается) (справка); Проверьте значение |issn= (справка)
  10. ↑ G. K. Tolokonnikov (1982). "Differential rings used in Shirokov algebras". TMF. 53 (1): 952—954. doi:10.1007/BF01014789.
  11. ↑ Yu.M.Shirokov (1977). "Perturbation theory with respect to Planck's constant". TMF. 31 (3). Springer New York: 488—492. doi:10.1007/BF01030565. ISSN (Print) 1573-9333 (Online) 0040-5779 (Print) 1573-9333 (Online). {{cite journal}}: Проверьте значение |issn= (справка)
  12. ↑ N N Bogolyubov (1981). "Yuriĭ Mikhaĭlovich Shirokov (Obituary)". Sov.Phys.Uspekhi. 24 (6): 526—527. doi:10.1070/PU1981v024n06ABEH004852. {{cite journal}}: Неизвестный параметр |coauthors= игнорируется (|author= предлагается) (справка)

ссылки

Источник — https://ru.wikipedia.org/w/index.php?title=Широков,_Юрий_Михайлович&oldid=10526064