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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 1(22), Pages 99–107
DOI: https://doi.org/10.14498/vsgtu937 (Mi vsgtu937) 		 
Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

Simple proof of the adiabatic theorem

M. O. Katanaev

Dept. of Mathematical Physics, Steklov Mathematical Institute, Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.14498/vsgtu937
Abstract: Simple proof of the adiabatic theorem is given in a finite dimensional case for nondegenerate as well as degenerate states. The estimate is obtained for the deviation of the norm of the solution of the Shchrödinger equation which is uniform on the parameter in the Hamiltonian.
Keywords: adiabatic theorem, quantum mechanics.
Original article submitted 17/II/2011
revision submitted – 07/III/2011
Bibliographic databases:
Document Type: Article
UDC: 530.145
MSC: 35Q40
Language: Russian
Citation: M. O. Katanaev, “Simple proof of the adiabatic theorem”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 99–107
Citation in format AMSBIB
\Bibitem{Kat11}
\by M.~O.~Katanaev
\paper Simple proof of the adiabatic theorem
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 99--107
\mathnet{http://mi.mathnet.ru/vsgtu937}
\crossref{https://doi.org/10.14498/vsgtu937}
\elib{https://elibrary.ru/item.asp?id=16387164}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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