Quantum Coherence and Giant Enhancement of Positron Channeling Radiation
Michael Shatnev

TL;DR
This paper presents a quantum-mechanical model of positron channeling radiation in diamond, revealing a giant coherence enhancement factor of 12-31 times over incoherent predictions, with implications for high-intensity gamma-ray sources.
Contribution
The work introduces a quantum coherence model explaining giant enhancement in positron channeling radiation, validated by numerical results and proposing experimental tests.
Findings
Coherent radiation intensity exceeds incoherent results by a factor of 12-31.
All occupied energy levels contribute constructively due to phase synchronization.
The model predicts a nonlinear angular dependence of peak intensity, enabling experimental verification.
Abstract
We present a quantum-mechanical calculation of positron channeling radiation in a planar harmonic potential, explicitly accounting for the interference between transition amplitudes from different transverse energy levels. Because the planar channel potential for positrons in diamond~(110) is well approximated by a parabola, the transverse spectrum is equidistant, , and all transitions radiate at the same Doppler-shifted frequency. The entry of the positron into the crystal under the sudden approximation creates a Glauber coherent state with population amplitudes . Phase synchronization between the and the dipole matrix elements ensures that all occupied levels contribute constructively to the radiation amplitude, giving an intensity that exceeds the incoherent (Zhevago--Kumakhov) result by a…
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