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Is there an instability transition in standing wave traps?

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Abstract

For a class of standing electromagnetic waves of a special structure, the motion of the charged particles in the vicinities of nodal points is approximable by an exactly soluble dynamical model (the Schrödinger particle driven by a rotating magnetic field). This model shows a sudden qualitative change when the field intensity/frequency ratio crosses a critical value. It implies the conversion of the nodal points from particle traps into repulsive centers. A hypothesis is thus raised that for high intensity/frequency values, the standing wave traps can undergo a qualitative metamorphosis resembling the phase transitions.

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Authors and Affiliations

  1. Departamento de Física del CINVESTAV, México

    Bogdan Mielnik

  2. Institute of Theoretical Physics of Marsaw University, Warsaw, Poland

    Bogdan Mielnik

  3. Departamento de Física des CINVESTAV, México

    David J. Fernández C.

Authors
  1. Bogdan Mielnik
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  2. David J. Fernández C.
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Mielnik, B., David J. Fernández, C. Is there an instability transition in standing wave traps?. Lett Math Phys 17, 87–94 (1989). https://doi.org/10.1007/BF00402323

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  • DOI: https://doi.org/10.1007/BF00402323

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