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Stabilization of metastable states.

M Gitterman1

  • 1Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
Summary
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Fluctuations in a particle's potential increase the population of a metastable state. This effect is similar to that observed with external periodic fields, offering new insights into quantum systems.

Area of Science:

  • Quantum mechanics
  • Statistical physics

Background:

  • Understanding particle behavior in complex potentials is crucial.
  • Metastable states play key roles in various physical phenomena.

Purpose of the Study:

  • To find an exact solution for a particle in a fluctuating potential.
  • To investigate the effect of potential fluctuations on metastable state populations.

Main Methods:

  • Exact analytical solution derived for a piecewise square nonsymmetric potential.
  • Analysis of particle dynamics under fluctuating potential conditions.

Main Results:

  • An exact solution was obtained for the specified potential.
  • The population of a metastable state was found to increase due to potential height fluctuations.

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  • This increase is analogous to the effect of external periodic fields.

    • Conclusions:

    • Potential fluctuations can significantly influence the population dynamics of metastable states.
    • The findings provide a theoretical basis for controlling or enhancing metastable state populations using fluctuating potentials.