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Adiabatic theorem for finite dimensional quantum mechanical systems

  • Elementary Particle Physics and Field Theory
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Russian Physics Journal Aims and scope

A new simple proof of the adiabatic theorem is given in the finite dimensional case for nondegenerate as well as degenerate states. An explicitly integrable two-level system is considered as an example. It is demonstrated that the error estimate given by the adiabatic theorem cannot be improved.

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Authors and Affiliations

  1. V. A. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

    M. O. Katanaev

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  1. M. O. Katanaev
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Correspondence to M. O. Katanaev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 72–81, March, 2011.

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Katanaev, M.O. Adiabatic theorem for finite dimensional quantum mechanical systems. Russ Phys J 54, 342–353 (2011). https://doi.org/10.1007/s11182-011-9620-5

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  • DOI: https://doi.org/10.1007/s11182-011-9620-5

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