Spin dynamics of electrons in a unidirectional, inhomogeneous magnetic field

Rutherford, G. H.; Grobe, R.

doi:10.1088/0305-4470/31/46/023

Cited by 14 publications

(8 citation statements)

References 10 publications

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“…Separation of electrons by spin does not follow from these experiments, however, even though Pauli used the same general argument against both. Quantum calculations have shown spin separations in some static situations [10,11]. For the beam configuration considered by Pauli et al, however, the situation is more ambiguous.…”

Section: Quantum-mechanical Analysis Of a Longitudinal Stern-gerlach mentioning

confidence: 99%

Quantum-Mechanical Analysis of a Longitudinal Stern-Gerlach Effect

2001

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Section: Quantum-mechanical Analysis Of a Longitudinal Stern-gerlach mentioning

confidence: 99%

Quantum-Mechanical Analysis of a Longitudinal Stern-Gerlach Effect

2001

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“…The principle feasibility of separating spins in an electron beam by the inhomogenous magnetic field of two antiparallel electric currents was analyzed in terms of classical trajectories [4,5]. Partial splitting of spin components by a unidirectional inhomogenous B field was shown by means of combined classical and quantum calculations [6]. Complete spin separation through a "longitudinal" Stern-Gerlach effect, where the electron beam moves along the magnetic field axis and is split in this direction, was obtained from a full quantum treatment [7].…”

Section: Introductionmentioning

confidence: 99%

Controlling electron spin dynamics in bichromatic Kapitza-Dirac scattering by the laser field polarization

Dellweg

Müller

2017

Phys. Rev. A

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Spin-dependent Kapitza-Dirac scattering of electron beams from counterpropagating bichromatic laser waves in various polarization geometries is studied. The corresponding scattering probabilities are obtained by analytical and numerical solutions of the time-dependent Dirac equation, assuming a field frequency ratio of 2. When the fundamental field mode is circular-polarized, we show that spin dynamics are generally suppressed at low intensities, but can become distinct at high intensities. Conversely, when a linearly or elliptically polarized fundamental mode is combined with a second harmonic of circular polarization, strong spin effects arise already at low field intensities. In particular, a polarization configuration is identified which acts as a spin filter for free electrons.

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“…One of the first efforts refuting the Bohr and Pauli's statement was using a longitudinal magnetic-field configuration instead of the standard transverse geometry of Stern-Gerlach. In this way, the complete spin splitting with quantum-mechanical analysis has been reported [6][7][8][9]. In recent theoretical studies, the use of the grating and electromagnetic fields are resulted in the spin separation for electrons.…”

Section: Introductionmentioning

confidence: 93%

Four-photon Kapitza-Dirac effect as an electron spin filter

2018

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We theoretically demonstrate the feasibility of producing electron beam splitter using Kapitza-Dirac diffraction on bichromatic standing waves which are created by the fundamental frequency and the third harmonic. The relativistic electron in Bragg regime absorbs three photons with frequency of ω and emits a photon with frequency of 3ω, four-photon Kapitza-Dirac effect. In this four-photon Kapitza-Dirac effect distinct spin effects arise in different polarizations of the third harmonic laser beam. It is shown that the shape of Rabi oscillation between initial and scattered states is changed and finds two unequal peaks. In circular polarization for fundamental and third harmonic, despite Rabi oscillation, the spin down electron in 0.56 fs intervals maintains its momentum and spin. Also we present an electron spin filter with combination of a linearly polarized fundamental laser beam and a third harmonic with circular polarization that scatters the electron beam according to its spin state.

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Spin dynamics of electrons in a unidirectional, inhomogeneous magnetic field

Cited by 14 publications

References 10 publications

Quantum-Mechanical Analysis of a Longitudinal Stern-Gerlach Effect

Quantum-Mechanical Analysis of a Longitudinal Stern-Gerlach Effect

Controlling electron spin dynamics in bichromatic Kapitza-Dirac scattering by the laser field polarization

Four-photon Kapitza-Dirac effect as an electron spin filter

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