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Physical particle representation and generalized transformation theory.

I Prigogine1, C George, F Henin

  • 1FACULTE DES SCIENCES, UNIVERSITE LIRRE DE BRUXELLES, BRUSSELS, BELGIUM.

Proceedings of the National Academy of Sciences of the United States of America
|July 1, 1970
PubMed
Summary

This study introduces a new "physical particle" representation for describing system dynamics, particularly for dissipative systems. This novel approach simplifies complex evolutions by focusing on particle populations and energy states.

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Area of Science:

  • Theoretical Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Generalized transformation theory offers a non-Hamiltonian description of dynamics.
  • Existing methods for dissipative systems are limited.

Purpose of the Study:

  • Introduce and explore a
  • physical particle
  • representation for system dynamics.
  • Extend the applicability of unitary transformations to dissipative systems.

Main Methods:

  • Introduced generalized unitary transformations of superoperators.
  • Studied a specific class of these transformations.
  • Developed a new dynamical representation.

Main Results:

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  • The "physical particle" representation is meaningful for dissipative systems.
  • Energy is represented by a diagonal matrix in this new representation.
  • System evolution in coherent processes relates to physical particle population changes.

Conclusions:

  • The "physical particle" representation provides a simplified view of dynamics, especially for complex systems.
  • This representation offers insights into thermodynamic equilibrium, where particles are uncorrelated.
  • Further details on this representation will be published in a forthcoming paper.