Classical and Quantum Theory of Synergic Synchrotron-Čerenkov Radiation

Abstract

The power spectra of C 8 erenkov, synchrotron, and synchrotron C 8 erenkov radiation are calculated both classically (by source methods) and quantum mechanically (by mass operator methods). The synergic features of the synchrotron C 8 erenkov radiation are pointed out. The existence of a transition region near n;=1 [n(|, H)=index of refraction of the medium; ;=vÂc, v=velocity of the charged particle] coupled with the intrinsic dispersion of the medium is then applied to the discussion of the suppression of X-ray radiation, the construction of X-ray counters, the detection of the quantum corrections, and the modification of the synchrotron radiation from pulsars. Academic Press

Quantum Čerenkov Radiation: Spectral Cutoffs and the Role of Spin and Orbital Angular Momentum

“…A 1957 review paper described the ČR from particles with different spins [28]. Another 1957 paper [29] studied how two-photon emission affects ČR, with later work providing observation of such corrections arising from higher-order Feynman diagrams [30] and effects of external magnetic fields [31]. However, to the best of our knowledge, all previous research always reconfirmed the same classical limit found by Čerenkov, Frank and Tamm [1,24].…”

Nonperturbative QED vacuum birefringence

“…As the polarization and magnetization in (2.9) are cubic on external fields, the electromagnetic waves and charged particles propagation in perturbative QED vacuum will possess the properties peculiar to crystal optics with cubic nonlinearity. This approach leads to the predictions for vacuum birefringence and dichroism [16][17][18], optical non-reciprocity [19], light-ray bending [20,21] and Cherenkov-radiation [22,23] in vacuum at presence of external electromagnetic field. The expansion of these predictions on nonperturbative QED regime gives a new insight in understanding of vacuum nonlinear electrodynamics and helps to enforce the expectations in experimental manifestations.…”

The Cherenkov Effect in Graphene-Like Structures

“…Source theory [6,[30][31][32] is the theoretical construction which uses quantum-mechanical particle language. Initially it was constructed for description of the particle physics situations occurring in the high-energy physics experiments.…”

“…It may be easy to show that the probability of the persistence of vacuum is given by the following formula [30]:…”

“…The electromagnetic field is described by the four-potentials A µ (ϕ, A) and it is generated by the four-current J µ (c̺, J) according to the differential equation [30]:…”