BEYKER-KEMPBEL-XAUZDORF FORMULASIGA OID BIR MASALANING YECHILISH METODIKALARI

Authors

  • B. Yavidov

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

  • G. Saburova

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

  • K. Nurimbetov

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

  • M. Ollomberganova

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

Keywords: operator, commutator, Baker-Campbell-Hausdorff formula, methods for solving problems

Abstract

In the article a particular problem, connected with Baker-Campbell-Hausdorff formula, is considered. It is duscussed how the problem is considered in textbooks. Three methods of solution of the problem are presented. It is stated that solving problems by different methods in practical classes serves to improve the quality of classes and the practical competence of students.

References

1. Oʻzbekiston Respublikasi oliy ta’lim tizimini 2030 yilgacha rivojlantirish tamoyilini tasdiqlash toʻgʻrisida. OʻzR PF-5847, 8 oktabr 2019-yil.

2. Nouredine Zettili. Quantum Mechanics: Concepts and Applications, 2nd ed., A John Wiley and Sons, Ltd., Publication, Chichester, 2009.

3. Копытин И.В., Корнев А.С. Задачи по квантовой механике: Учебное пособие для вузов. 1-я часть, 4-е издание. –Воронеж: Изд.-полиграф. центр Вор. Гос. университета, 2009.

4. Гречко Л.Г., Сугаков В.И., Томасевич О.Ф., Федерченко А.М.. Сборник задач по теоретической физике. -М.: «Высшая школа», 1984.

5. John R. Boccio. Quantum Mechanics: Mathematical Structure and Physical Structure Problems and Solutions. http://www.johnboccio.com/TQM/solutions/QM_Book_Solutions.pdf

6. Marc Cahay and Supriyo Bandyopadhyay. Problem Solving in Quantum Mechanics: From Basics to Real-World Applications for Materials Scientists, Applied Physicists, and Devices Engineers. John Wiley & Sons Ltd., Chichester, 2017.

7. Wilcox. R.M. Exponential Operators and Parameter Differentiation in Quantum Physics. J. Math. Phys. 8(4), 2(1967).