Prof. Swadesh Mahajan, Institute for Fusion Studies, UT-Austin

"Interacting Quantum and Classical waves: Resonant energization of relativistic particles via intense electromagnetic waves"

Abstract: Most elementary processes in physics involve exchange of energy /momentum between particles, between particles and waves, and between different waves. Figuring out when and how these exchanges may become efficient and strong constitutes a fundamental quest. If interacting entities share some "commonality", the energy exchange can, indeed, become extremely efficient under well-defined conditions; the most profound manifestation of the phenomenon is found when the interacting systems are in "resonance".

It is shown that a highly effective resonance exchange takes place, for instance, when a quantum particle wave (QW) interacts with a classical light-like electromagnetic wave (CW); wave nature of the particle plays a crucial role in strongly enhancing the resonant interaction particularly in the relativistic regime. The most compelling reason for this enormously strong resonance is that the relativistic particle wave and the electromagnetic wave obey equations that are mathematically very similar – they have much "commonality".

Resonant energization may be one of the mechanisms that powers very high energy cosmic rays. The predictions of the theory could be tested in high-power laser experiments.