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<p>Shockwaves are extreme nonlinear distortions of wave motion which have been reported in fluid waves and electromagnetic waves, while here we reveal that a shockwave can occur even in the quantum wave function of a single particle. Specifically, we analyze the electromagnetic field travelling on resonance with the limiting velocity of the quasi-relativistic particle, and reveal that a strong longitudinal field can rip up a quantum shockwave singularity in the particle wave function, leading to energy dissipation. Moreover, we show that this effect is particularly strong for quasi-relativistic (Dirac) electrons in graphene, and we discuss several possible experimental tests of these predictions.</p>

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Quantum shockwave at the quasi-relativistic resonance

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Marinko Jablan

摘要

Shockwaves are extreme nonlinear distortions of wave motion which have been reported in fluid waves and electromagnetic waves, while here we reveal that a shockwave can occur even in the quantum wave function of a single particle. Specifically, we analyze the electromagnetic field travelling on resonance with the limiting velocity of the quasi-relativistic particle, and reveal that a strong longitudinal field can rip up a quantum shockwave singularity in the particle wave function, leading to energy dissipation. Moreover, we show that this effect is particularly strong for quasi-relativistic (Dirac) electrons in graphene, and we discuss several possible experimental tests of these predictions.