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A Quantum Measurements Model of Hydrogen-Like Atoms in Maple

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Computer Algebra in Scientific Computing (CASC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8136))

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Abstract

Interaction effects between a quantum system and the quantum part of a measurement system leads to the complexification of the initial system’s observable operator. Computer algebra methods of Maple help to express operators of the hydrogen-like atom observables in explicit form. We use these operators to solve a spectrum estimation problem using a procedure for computation of the Ritz matrix in Maple.

The work is partially supported by RFBR grants No. 11-01-00278, 13-01-00595.

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Author information

Authors and Affiliations

  1. Joint Institute For Nuclear Research, Peoples’ Friendship University of Russia, Russia

    L. Sevastianov, A. Zorin & A. Gorbachev

Authors
  1. L. Sevastianov
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  2. A. Zorin
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  3. A. Gorbachev
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Editor information

Editors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

    Vladimir P. Gerdt

  2. Institut für Mathematik, Universität Kassel, Heinrich-Plett-Straße 40, 34132, Kassel, Germany

    Wolfram Koepf

  3. Technische Universität München, 85748, Garching, Germany

    Ernst W. Mayr

  4. Khristianovich Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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Sevastianov, L., Zorin, A., Gorbachev, A. (2013). A Quantum Measurements Model of Hydrogen-Like Atoms in Maple. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2013. Lecture Notes in Computer Science, vol 8136. Springer, Cham. https://doi.org/10.1007/978-3-319-02297-0_30

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  • DOI: https://doi.org/10.1007/978-3-319-02297-0_30

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02296-3

  • Online ISBN: 978-3-319-02297-0

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