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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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On instability of the absolutely continuous spectrum of dissipative Schrödinger operators and Jacobi matrices
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by R. Romanov
Translated by: the author
St. Petersburg Math. J. 17 (2006), 325-341
DOI: https://doi.org/10.1090/S1061-0022-06-00907-1
Published electronically: February 20, 2006
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Abstract:

The absence of the absolutely continuous spectrum is proved for dissipative Schrödinger operators and Jacobi matrices with slowly decaying imaginary part of the potential.
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Bibliographic Information
  • R. Romanov
  • Affiliation: School of Computer Science, Cardiff University, Cardiff, Queen’s Buildings, PO Box 916, Newport Road, Cardiff CF24 3XF, United Kingdom, and Laboratory of Quantum Networks, Institute for Physics, St. Petersburg State University, St. Petersburg 198504, Russia
  • Email: roma@rvr.stud.pu.ru
  • Received by editor(s): January 14, 2004
  • Published electronically: February 20, 2006
  • Additional Notes: The author was supported in part by EPSRC Grant GR/R20885 and by RFBR (grant no. 00-01-00479).
  • © Copyright 2006 American Mathematical Society
  • Journal: St. Petersburg Math. J. 17 (2006), 325-341
  • MSC (2000): Primary 34L10, 47B44
  • DOI: https://doi.org/10.1090/S1061-0022-06-00907-1
  • MathSciNet review: 2159588