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Gaussian and Airy wave packets of massive particles with orbital angular momentum
2015
Physical Review A. Atomic, Molecular, and Optical Physics
While wave-packet solutions for relativistic wave equations are oftentimes thought to be approximate (paraxial), we demonstrate that there is a family of such solutions, which are exact, by employing a null-plane (light-cone) variables formalism. A scalar Gaussian wave-packet in transverse plane is generalized so that it acquires a well-defined z-component of the orbital angular momentum (OAM), while may not acquire a typical "doughnut" spatial profile. Such quantum states and beams, in
doi:10.1103/physreva.91.013847
fatcat:jsyf5hiexzf4jptwbsi23s3prq