Dynamical signature in spatial spin distributions of relativistic electrons

Krekora, P.; Su, Q.; Grobe, R.

doi:10.1088/0953-4075/34/14/303

Cited by 8 publications

(6 citation statements)

References 17 publications

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“…Both studies found negligibly small spin effects. We note that the influence of the electron spin has also been investigated with respect to free-electron motion [14], bound-electron dynamics [15], atomic photoionization [16], and Compton and Mott [17] scattering in strong plane-wave laser fields.…”

Section: Introductionmentioning

confidence: 99%

Spin Dynamics in the Kapitza-Dirac Effect

et al. 2012

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Electron spin dynamics in Kapitza-Dirac scattering from a standing laser wave of high frequency and high intensity is studied. We develop a fully relativistic quantum theory of the electron motion based on the timedependent Dirac equation. Distinct spin dynamics, with Rabi oscillations and complete spin-flip transitions, is demonstrated for Kapitza-Dirac scattering involving three photons in a parameter regime accessible to future high-power X-ray laser sources. The Rabi frequency and, thus, the diffraction pattern is shown to depend crucially on the spin degree of freedom.

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Section: Introductionmentioning

confidence: 99%

Spin Dynamics in the Kapitza-Dirac Effect

et al. 2012

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“…At early times, the packet is non-relativistic and we see the concentric ring-like contour lines reminiscent of those of the non-relativistic orbits. [28] The region around the origin has the smallest velocity contributions and therefore the smallest amount of Lorentz contraction. It is quite remarkable that even at later times (t> 0.4 a.u.…”

Section: Spin-densities Of Cycloatomsmentioning

confidence: 99%

Relativistic electron spin motion in cycloatoms

Su¹,

Peverly²,

Wagner³

et al. 2001

Opt. Express

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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.

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“…Most of the previous theoretical studies were done in non-relativistic framework. In the field of relativistic quantum mechanics most of the efforts have been focused on the problem of the interaction between the atoms and a mixture of static fields with, most of the time, intense laser fields [2][3][4][5][6][7][8][9][10][11]. Under these conditions the use of a relativistic theory is fully justified since the external field is then able to bring considerable energy to the WP.…”

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confidence: 99%

“…For n = 50, ǫ = 0.4 precession time T p ranges from 1.96 • 10 −11 s for Z = 92 to 1.4 • 10 −3 s for Z = 1. T K in (10) denotes the Kepler period.…”

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confidence: 99%

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Relativistic precession and spin dynamics of an elliptic Rydberg wave packet

Rozmej

Turek

Arvieu³

et al. 2002

J. Phys. A: Math. Gen.

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Time evolution of wave packets built from the eigenstates of the Dirac equation for a hydrogenic system is considered. We investigate the space and spin motion of wave packets which, in the non-relativistic limit, are stationary states with a probability density distributed uniformly along the classical, elliptical orbit (elliptic WP). We show that the precession of such a WP, due to relativistic corrections to the energy eigenvalues, is strongly correlated with the spin motion. We show also that the motion is universal for all hydrogenic systems with an arbitrary value of the atomic number Z.PACS numbers: 03.65.P, 03.65, 03.65.S The detailed study of the time evolution of quantum wave packets (WPs) in simple atomic or molecular systems has been the object of growing attention for more than ten years [1]. Most of the previous theoretical studies were done in non-relativistic framework. In the field of relativistic quantum mechanics most of the efforts have been focused on the problem of the interaction between the atoms and a mixture of static fields with, most of the time, intense laser fields [2][3][4][5][6][7][8][9][10][11]. Under these conditions the use of a relativistic theory is fully justified since the external field is then able to bring considerable energy to the WP. For isolated atoms, however, the use of relativistic dynamics is more questionable, if the WP is followed or observed only during a short period of time. In ref.[12] relativistic wave packets, corresponding to circular orbits, have been constructed for hydrogenic atoms with a large Z, and propagated over time according to the Dirac equation. Particular attention was paid to the spin collapse event, i.e. to the maximum entanglement, in the course of time, of the spin degree of freedom with the spatial ones. This phenomenon was first shown to take place for a WP in a harmonic oscillator with a spin-orbit force [13], where it is periodic. For this reason it has been called the spin-orbit pendulum. In the Dirac equation with a Coulomb ¶ Research supported by KBN grants No. 5 P03B 010 20 and 5 P03B 104 21

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Dynamical signature in spatial spin distributions of relativistic electrons

Cited by 8 publications

References 17 publications

Spin Dynamics in the Kapitza-Dirac Effect

Spin Dynamics in the Kapitza-Dirac Effect

Relativistic electron spin motion in cycloatoms

Relativistic precession and spin dynamics of an elliptic Rydberg wave packet

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