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Diagrammatic approach for open chaotic systems

Agam1

  • 1The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
Summary

This study introduces a semiclassical diagrammatic approach for analyzing open chaotic systems. The method connects quantum correlations to classical functions, aiding in understanding complex molecular and microwave phenomena.

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Area of Science:

  • Quantum chaos
  • Statistical spectroscopy
  • Semiclassical methods

Background:

  • Open chaotic systems with time reversal symmetry present challenges in calculating correlation functions.
  • Existing methods may not fully capture the interplay between quantum and classical dynamics.

Purpose of the Study:

  • To develop a novel semiclassical diagrammatic approach for correlation functions in open chaotic systems.
  • To provide a theoretical framework connecting quantum observables to classical correlations.
  • To explain experimental results and characterize molecular photodissociation.

Main Methods:

  • Construction of a semiclassical diagrammatic approach.
  • Utilizing Wigner representations of observables.
  • Application to microwave experiments and molecular photodissociation cross sections.

Main Results:

  • Correlation functions are expressed in terms of classical correlation functions.
  • The approach successfully explains a microwave experiment on the four-disk problem.
  • It aids in characterizing the two-point function of photodissociation cross sections.

Conclusions:

  • The developed semiclassical diagrammatic approach offers a powerful tool for studying open chaotic systems.
  • This formalism bridges quantum and classical descriptions, enhancing understanding of complex systems.
  • The method has broad applicability in physics and chemistry.

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