IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v101y1980i1p1-21.html
   My bibliography  Save this article

Jahn-Teller systems as displaced para-Bose oscillators

Author

Listed:
  • Schmutz, M.

Abstract

It is shown that the E-e and Γ8−τ2g Jahn-Teller systems are respectively the infinite direct sums of the integer and half-integer (with the exclusion of the pure Bose case) irreducible displaced para-Bose oscillators. The energy spectrum of an arbitrary displaced para-Bose oscillator is considered. The ground state energy is calculated variationally by use of the para-Bose coherent states. The oscillatory behavior of the excited states is discussed. The results are applied to the E-e and Γ8−τ2g systems.

Suggested Citation

  • Schmutz, M., 1980. "Jahn-Teller systems as displaced para-Bose oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 1-21.
    • Handle: RePEc:eee:phsmap:v:101:y:1980:i:1:p:1-21
    DOI: 10.1016/0378-4371(80)90097-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437180900977
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(80)90097-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sudarshan K. Dhall & C. L. Liu, 1978. "On a Real-Time Scheduling Problem," Operations Research, INFORMS, vol. 26(1), pages 127-140, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Łuczka, Jerzy, 1988. "On Markovian kinetic equations: Zubarev's nonequilibrium statistical operator approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 245-266.
    2. Gorini, Vittorio & Verri, Maurizio & Frigerio, Alberto, 1989. "Non-markovian behavior in low-temperature damping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 161(2), pages 357-384.
    3. Bondarev, B.V., 1992. "Quantum Markovian master equation theory of particle migration in a stochastic medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(1), pages 159-174.
    4. Pianykh, Oleg S. & Perez, Sebastian & Zhang, Chengzhao “Richard”, 2024. "Discrete scheduling and critical utilization," European Journal of Operational Research, Elsevier, vol. 312(2), pages 445-455.
    5. Tzafestas, Spyros & Triantafyllakis, Alekos, 1993. "Deterministic scheduling in computing and manufacturing systems: a survey of models and algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(5), pages 397-434.
    6. Ianovsky, Edward & Kreimer, Joseph, 2003. "Optimization of real-time multiserver system with two different channels and shortage of maintenance facilities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 615-627.
    7. Bertossi, Alan A. & Fusiello, Andrea, 1997. "Rate-monotonic scheduling for hard-real-time systems," European Journal of Operational Research, Elsevier, vol. 96(3), pages 429-443, February.
    8. Kreimer, Joseph, 2000. "Real-time multiserver system with two non-identical channels and limited maintenance facilities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(1), pages 85-94.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:101:y:1980:i:1:p:1-21. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.