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Angular momentum-scattering angle quantum correlation: a generalized deflection function.

P G Jambrina1, M Menéndez2, F J Aoiz2

  • 1Departamento de Química Física Aplicada , Universidad Autonoma de Madrid , 28049 , Madrid , Spain .

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|June 19, 2018
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We introduce a quantum analog of the classical deflection function to analyze reaction mechanisms. This generalized deflection function reveals correlations between angular momentum and scattering angle, even when quantum effects are significant.

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Area of Science:

  • Chemical Physics
  • Quantum Mechanics
  • Scattering Theory

Background:

  • The classical deflection function correlates scattering angle with angular momentum.
  • This classical approach has limitations when quantum effects, like interference, become important.
  • A quantum equivalent of the classical joint probability density function is lacking.

Purpose of the Study:

  • To develop a simple method for calculating a quantum analog of the classical deflection function.
  • To investigate reaction mechanisms using quantum mechanical results.
  • To explore the correlation between angular momentum and scattering angle in quantum systems.

Main Methods:

  • Calculation of a generalized deflection function using quantum mechanical principles.
  • Comparison of quantum and classical correlation functions.
  • Analysis of the impact of quantum effects on the correlation.

Main Results:

  • A good agreement between quantum and classical correlation functions is observed when quantum effects are minimal.
  • The quantum correlation function effectively highlights the extent of quantum effects, such as interference.
  • The method provides insights into reaction mechanisms even in the presence of significant quantum phenomena.

Conclusions:

  • The proposed quantum analog of the deflection function is a valuable tool for studying reaction mechanisms.
  • This method extends the utility of angular momentum-scattering angle correlations to systems dominated by quantum mechanics.
  • The generalized deflection function aids in understanding and visualizing quantum phenomena in scattering processes.