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要旨

A solution of the Dirac equation in a strong laser field presenting a
nonspreading wave packet in the rest frame of the electron is derived. It
consists of a generalization of the self-accelerating free electron wave packet
[Kaminer et al. Nature Phys. 11, 261 (2015)] to the case with the background of
a strong laser field. Built upon the notion of nonspreading for an extended
relativistic wavepacket, the concept of Born rigidity for accelerated motion in
relativity is the key ingredient of the solution. At its core, the solution
comes from the connection between the self-accelerated free electron wave
packet and the eigenstate of a Dirac electron in a constant and homogeneous
gravitational field via the equivalence principle. The solution is an essential
step towards the realization of the laser-driven relativistic collider [Meuren
et al. PRL 114, 143201 (2015)], where the large spreading of a common Gaussian
wave packet during the excursion in a strong laser field strongly limits the
expectable yields.