• Accuracy of trace formulas

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      https://www.ias.ac.in/article/fulltext/pram/048/02/0517-0535

    • 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

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      Posted on July 25, 2019

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