IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i5p1292-1297.html
   My bibliography  Save this article

A WKB approach to quantum Hall states

Author

Listed:
  • Dariescu, Marina-Aura
  • Dariescu, Ciprian

Abstract

In the present work, we focus on the study of bi-dimensional evolution of the complex scalar field, within the phase-integral approach. We start by writing down the quantum eigenstates and the Landau-type energy levels, which are exhibiting a general dependence on the external static fields. Fixing the width of the sample, we employ the WKB calculus for bounded harmonic oscillators for deriving the energy correction, particle momentum and electromagnetic current, in terms of an energy-related excess fractal dimension.

Suggested Citation

  • Dariescu, Marina-Aura & Dariescu, Ciprian, 2008. "A WKB approach to quantum Hall states," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1292-1297.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:5:p:1292-1297
    DOI: 10.1016/j.chaos.2008.02.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908000787
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.02.019?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. Dariescu, Marina-Aura & Dariescu, Ciprian, 2005. "Quantized planary dynamics in orthogonal magneto-electrostatic fields," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1005-1011.
    2. Iovane, G. & Benedetto, E., 2006. "A projective approach to dynamical systems, applications in cosmology and connections with El Naschie ϵ(∞) Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 269-277.
    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. Mesón, Alejandro & Vericat, Fernando, 2009. "Simultaneous multifractal decompositions for the spectra of local entropies and ergodic averages," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2353-2363.
    2. Dariescu, Marina-Aura & Dariescu, Ciprian & Murariu, Gabriel, 2006. "Topological quantum dynamics of charged bosons," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 1-7.
    3. Iovane, G. & Bellucci, S. & Benedetto, E., 2008. "Projected space–time and varying speed of light," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 49-59.
    4. Dariescu, Marina-Aura & Dariescu, Ciprian, 2007. "Finite temperature analysis of quantum Hall-type behavior of charged bosons," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 776-781.

    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:chsofr:v:38:y:2008:i:5:p:1292-1297. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.