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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Remarks on the quantum adiabatic theorem
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by V. S. Buslaev and E. A. Grinina
Translated by: A. Plotkin
St. Petersburg Math. J. 16 (2005), 639-648
DOI: https://doi.org/10.1090/S1061-0022-05-00870-8
Published electronically: June 21, 2005
References
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  • M. Born and V. Fock, Beweis des Adiabatensatzes, Z. Phys. 51 (1928), 165–169.
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  • L. M. Garrido, Generalized adiabatic invariance, J. Mathematical Phys. 5 (1964), 355–362. MR 168283, DOI 10.1063/1.1704127
  • Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
  • —, On the adiabatic theorem of quantum mechanics, J. Phys. Soc. Japan 5 (1950), 435–439.
  • S. G. Kreĭn, Lineĭ khye differentsial′nye uravneniya v Banakhovom prostranstve, Izdat. “Nauka”, Moscow, 1967 (Russian). MR 0247239
  • G. Nenciu, On the adiabatic theorem of quantum mechanics, J. Phys. A 13 (1980), no. 2, L15–L18. MR 558631
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Bibliographic Information
  • V. S. Buslaev
  • Affiliation: Department of Physics, St. Petersburg State University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198054, Russia
  • Email: buslaev@mph.phys.spbu.ru
  • E. A. Grinina
  • Affiliation: Department of Physics, St. Petersburg State University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198054, Russia
  • Email: kategrin@peterlink.ru
  • Received by editor(s): January 14, 2004
  • Published electronically: June 21, 2005
  • Additional Notes: Supported by RFBR (grant 02-01-000798).
  • © Copyright 2005 American Mathematical Society
  • Journal: St. Petersburg Math. J. 16 (2005), 639-648
  • MSC (2000): Primary 81Q15
  • DOI: https://doi.org/10.1090/S1061-0022-05-00870-8
  • MathSciNet review: 2090850