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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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