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Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

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Published on: June 8, 2018

A method to compute probability current in generic coordinates.

Marc Nadal-Ferret1, Ricard Gelabert, Miquel Moreno

  • 1Departament de Química, Universitat Autònoma de Barcelona, Bellaterra (Barcelona), Spain.

The Journal of Chemical Physics
|February 24, 2011
PubMed
Summary
This summary is machine-generated.

A new method computes probability current and total flux for multi-particle systems by transforming coordinates. This quantum dynamics approach accurately quantifies flux contributions, including tunneling and classical parts.

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Area of Science:

  • Quantum mechanics
  • Chemical physics
  • Computational chemistry

Background:

  • Calculating probability current and flux in many-particle systems is computationally challenging.
  • Existing methods lack efficient scaling for complex quantum dynamics.

Purpose of the Study:

  • To develop a novel method for computing probability current and total flux in systems with particles of different masses.
  • To apply and validate this method in a complex quantum dynamics study.

Main Methods:

  • Transformation of the wave function and its gradient to a mass-weighted coordinate system.
  • Application to a 6-dimensional quantum dynamics model of proton-wire operation in Green Fluorescent Protein.
  • Utilizing an adaptive Monte Carlo method to solve the flux integral.

Main Results:

  • The methodology was successfully applied to a nontrivial quantum dynamics problem.
  • Comparison of total reactive flux with the time derivative of survival probability showed satisfactory agreement.
  • The new method allows quantitative division of flux into positive/negative and tunneling/classical contributions.

Conclusions:

  • The presented method provides an adequate and accurate way to compute probability current and total flux.
  • The adaptive Monte Carlo approach offers favorable scaling properties for future applications.
  • This work enables a more detailed analysis of reaction dynamics, distinguishing tunneling and classical pathways.