• Accuracy of trace formulas

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Quantum chaos; quantum maps; Gutzwiller’s periodic orbit sum

    • Abstract


      Using quantum maps, we study the accuracy of semiclassical trace formulas. The role of chaos in improving the semiclassical accuracy in some systems is demonstrated quantitatively. However, our study of the standard map cautions that this may not be most general. While studying a sawtooth map we demonstrate the rather remarkable fact that at the level of the time one trace even in the presence of fixed points on singularities the trace formula may be exact, and in any case has no logarithmic divergences observed for the quantum bakers map. As a byproduct we introduce fantastic periodic curves akin to curlicues.

    • Author Affiliations


      Arul Lakshminarayan1

      1. Physical Research Laboratory, Navarangapura, Ahmedabad - 380 009, India
    • Dates

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.