Spectral properties of confining superexponential potentials

Article Mathematics, Applied

Superexponential interactions and the dynamical unfolding of confined degrees of freedom

Peter Schmelcher

Summary: The model system with superexponential interactions exhibits rich dynamics and properties, with a channel region and two asymptotically free dynamic regions. The scattering functions show structures that can be interpreted in terms of momentum-time maps. Comprehensive analysis is performed on the scattering transition for energies below and above the saddle points. Variants and extensions of the superexponential interaction to many-body systems are briefly discussed.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2021)

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Article Mathematics, Applied

Many-body effects in models with superexponential interactions

Peter Schmelcher

Summary: The scattering dynamics of many-body systems governed by superexponential potentials show a transition from direct backscattering to multiple backscattering and recollision events as scattering energy increases. This transition is analyzed in detail by exploring individual many-body trajectories and large statistical ensembles of trajectories. Recollision trajectories exhibit intermittent oscillatory behavior with varying amplitudes both below and above saddle points.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2021)

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Article Physics, Multidisciplinary