Email this article FORMATION OF THE MAIN REPRESENTATIONS ABOUT QUANTUM MECHANICS
- Authors: Ryzhov I.V.1, Kosova I.S.1, Vasiliev N.A.1, Zhukov L.V.1, Aniskin V.N.2
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Affiliations:
- Russian State Pedagogical University A.I. Gertsen
- Samara State Academy of Social Sciences and Humanities
- Issue: Vol 4, No 1 (2015)
- Pages: 113-116
- Section: Articles
- URL: https://journal-vniispk.ru/2309-4370/article/view/22199
- ID: 22199
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Abstract
Formation of quantum mechanics bases is impossible without acquisition of knowledge and abilities for the solution of the corresponding tasks in this section of theoretical physics. At the same time, the exact solution of tasks is not always possible in quantum mechanics, especially if they are non-stationary and multipartial tasks. Various approximate methods (the theory of perturbations, a variation method, quasiclassical and adiabatic approximations) are developed for the solution of quantum mechanical problems. Sometimes tasks which are studied in a standard course of quantum mechanics can be solved by the one-dimensional equation of Schrödinger, but the division method of variables is, in fact, exclusive, and similar decisions can have special features, which are not characteristic for solutions of a general kind. The quantity of the solution methods applied to this class of problems is limited. In this article it is shown that a number of the main representations of quantum mechanics can be created without preliminary studying of its mathematical apparatus, by use of de Broil waves.
About the authors
Igor Viktorovich Ryzhov
Russian State Pedagogical University A.I. Gertsen
Email: thphys@herzen.spb.ru
Candidate of Physico-mathematical Sciences, Professor at the Department «Theoretical Physics and Astronomy» of the Faculty of Physics
191186, naberezhnaya r. Moyki, 48, St. Petersburg, RussiaIrina Svyatoslavna Kosova
Russian State Pedagogical University A.I. Gertsen
Email: thphys@herzen.spb.ru
Candidate of Pedagogical Sciences, Assistant Professor at the Department of «Algebra» of the Faculty of Mathematics
191186, naberezhnaya r. Moyki, 48, St. Petersburg, RussiaNikolay Aleksandrovich Vasiliev
Russian State Pedagogical University A.I. Gertsen
Email: thphys@herzen.spb.ru
Candidate of Physico-mathematical Sciences, Professor at the Department of «Theoretical physics and astronomy» of the Faculty of Physics
191186, naberezhnaya r. Moyki, 48, St. Petersburg, RussiaLev Viktorovich Zhukov
Russian State Pedagogical University A.I. Gertsen
Email: thphys@herzen.spb.ru
Doctor of Pedagogical Sciences, Professor at the Department «Theoretical physics and astronomy» of the Faculty of Physics
191186, naberezhnaya r. Moyki, 48, St. Petersburg, RussiaVladimir Nikolayevich Aniskin
Samara State Academy of Social Sciences and Humanities
Author for correspondence.
Email: vnasiskin@gmail.com
Candidate of Pedagogic Sciences, Associate Professor, Professor at the Department «Informatics, Applied Mathematics and Technique of Their Teaching»
str. M. Gorkogo, 65/67, Samara, 443099, RussiaReferences
- Флюгге З. Задачи по квантовой механике. Том 1. М.: Мир, 1974. 341 с.
- Галицкий В.М., Карнаков Б.М., Коган В.И. Задачи по квантовой механике. 2-е изд., перараб. и доп. М.: Наука, 1992. 880 с.
- Демков Ю.Н., Островский В.Н. Метод потенциалов нулевого радиуса в атомной физике. Л.: Изд. ЛГУ, 1975. 240 с.
- Зайцев А.И. Волны де Бройля и решение задач по квантовой механике. Учебноепособие. - СПб.: ООО «Теза», 2004. 237 с.
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