## Relativistic electron spin motion in cycloatoms

Optics Express, Vol. 8, Issue 2, pp. 51-58 (2001)

http://dx.doi.org/10.1364/OE.8.000051

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### Abstract

We present computer movies of the classical and quantum mechanical time evolution for an atom in a strong static magnetic field and a laser field. The resonantly induced relativistic motion of the atomic electron leads to a ring-like spatial probability density called a cycloatom. We further demonstrate that spin-orbit coupling for a fast moving electron in a cycloatom becomes significant, modifying the time-dependence of the spin even if initially aligned parallel to the static magnetic field direction. We also present several movies on time-evolution of the spin-distribution as a function of the position for a relativistic quantum state. The nature of such a space resolved spin measurement is analyzed.

© Optical Society of America

**OCIS Codes**

(000.1600) General : Classical and quantum physics

(020.4180) Atomic and molecular physics : Multiphoton processes

**ToC Category:**

Focus Issue: Quantum control of photons and matter

**History**

Original Manuscript: November 6, 2000

Published: January 15, 2001

**Citation**

Qichang Su, P. Peverly, R. Wagner, P. Krekora, and Rainer Grobe, "Relativistic electron spin motion in cycloatoms," Opt. Express **8**, 51-58 (2001)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-8-2-51

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### References

- For a review, see e.g. Q. Su and R. Grobe, "Examples of classical and genuinely quantum relativistic phenomena," in Multiphoton Processes, eds. L.F. DiMauro, R.R. Freeman, K.C. Kulander (American Institute of Physics, Melville, New York, 2000) p.655 or the website www.phy.ilstu.edu/ILP
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- For movies of cycloatoms see Phys. Rev. Focus, "Fast electrons on the cheap", 5, 15, 6 April (2000) at the web site: http://focus.aps.org/v5/st15.html story
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- For the time-evolution of the spatial width, see, J.C. Csesznegi, G.H. Rutherford, Q. Su, and R. Grobe, "Dynamics of wave packets in inhomogeneous and homogeneous magnetic fields," Las. Phys. 6, 41 (1999).
- P. Krekora, Q. Su and R. Grobe, "Dynamical signature in spatial spin distributions of relativistic electrons," Phys. Rev. A, submitted.
- L.T. Thomas, Phil. Mag. 3, 1 (1927).
- J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1999).

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