RUS  ENG
Full version
JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011 Issue 1(22), Pages 99–107 (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

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.

UDC: 530.145

MSC: 35Q40

Original article submitted 17/II/2011
revision submitted – 07/III/2011

DOI: 10.14498/vsgtu937



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025