The physical system of a charged particle under the action of crossed electric and magnetic fields is a well-known problem in classical mechanics. In such an approach, the motion equations can be obtained for different regimens of electric and magnetic field intensities.
From a quantum mechanics point of view, it is common to solve it for the null electric field case (as can found in several textbooks); even, the coherent states formalism has been applied to describe the charged particle dynamics. However, have such treatment been also applied to the non-null electric field case?
I have not found any information about that case and I am interested in knowing how that problem has been discussed.
Regards.
Of course-e.g. http://mx.nthu.edu.tw/~rklee/files/cs-ss.pdf more generally. Cf. also, https://arxiv.org/pdf/1311.1920.pdf There are many more examples. What the electric field does is allow the possibility of dielectric breakdown, that's all.
I just got done writing an answer to a similar question:
The massless photon is chiral, meaning, you cannot get in front of it and see it spinning counter-clockwise, for instance.
By Convention: the Electric and Magnetic bosons possess off-shell mass.
Therefore, the E and M bosons, the only means by which we [at this time] can interact with any phenomenon, is mass limited to:
v
There aren't any E or M bosons in electromagnetism; there's just the photon. And the fact that it's massless and, therefore has only two polarization states, doesn't have anything to do with the subject; the coherent states are those of the charged particle, not of the photon. The electric and magnetic fields referred to are classical, so the photons aren't resolved, anyway.
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