Theory of the photodetachment of negative ions in a magnetic field

Blumberg, W. A. M.; Itano, Wayne M.; Larson, D. J.

doi:10.1103/physreva.19.139

Cited by 83 publications

(46 citation statements)

References 10 publications

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“…In the numerical solution of Eq. (2) we have found that the convenient form of integral representation for the gen- three-dimensional pseudopotential V simulates the interaction of the electron with an atom. It depends on parameter a which is the inverse of the scattering length [9].…”

Section: Theorymentioning

confidence: 99%

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Photodetachment of an electron bound by a zero-range potential in magnetic fields of arbitrary strength

Grozdanov

1995

Phys. Rev. A

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The model problem of photodetachment of an electron initially bound by a zero-range potentiaI in a homogeneous static magnetic field of arbitrary strength is solved exactly. Expressions for the cross sections are derived within the nonrelativistic theory for various photon polarizations. In particular, photodetachment from states that exist only in the presence of a magnetic field is studied. In the limit of small fields the results obtained agree with findings of other authors.

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Section: Theorymentioning

confidence: 99%

“…where P=ay '", e, =2E, y (2) and g(s, q) is the generalized Riemann g function [11]. In the numerical solution of Eq.…”

Section: Theorymentioning

confidence: 99%

Photodetachment of an electron bound by a zero-range potential in magnetic fields of arbitrary strength

Grozdanov

1995

Phys. Rev. A

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“…As shown in Figure 5 the agreement is excellent and underlines the validity of the quantum source approach. An alternative theoretical description, together with earlier experimental data is put forward in [7,8].…”

Section: Application: Photodetachmentmentioning

confidence: 99%

“…In practice, an external electric field can provide a virtual double-slit environment that allows to probe the energy of the emitted electron (and thereby the electron affinity of the ion) with extreme accuracy [5,6,11]. The combination of electric and magnetic fields imprints a nontrivial structure on the detachment rate and allows to identify features [7], Figure 2). The substructure and broadening of the Landau levels due to the perpendicular electric field is visible.…”

Section: Application: Photodetachmentmentioning

confidence: 99%

“…(In the case of perpendicular fields (E = 0), these integrals can be expanded into series of parabolic cylinder functions [7], but we will not elaborate this point further.) In Figure 3 we compare the analytic two-dimensional solution (42) and the corresponding three-dimensional density of states (49) proc_tkramer.tex; 6/03/2018; 16:56; p. 16 …”

Section: Extension To Three Dimensionsmentioning

confidence: 99%

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Propagation in Crossed Electric and Magnetic Fields: The Quantum Source Approach

Kramer

Bracher

2004

Symmetries in Science XI

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Abstract. The propagation of electrons in static and uniform electromagnetic fields is a standard topic of classical electrodynamics. The Hamilton function is given by a quadratic polynomial in the positions and momenta. The corresponding quantummechanical problem has been analyzed in great detail and the eigenfunctions and time evolution operators are well-known. Surprisingly, the energy-dependent counterpart of the time-evolution operator, the Green function, is not easily accessible. However in many situations one is interested in the evolution of a system that started with emitted particles that carry a specific energy. In the following we present a suitable approach to study this type of matter waves arising from a localized region in space. Two applications are discussed, the photodetachment current in external fields and the quantum Hall effect in a fermionic electron gas.

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The Amplification of Hypersound by Photoelectrons in Quantizing Magnetic Field

Shmelev¹,

Shon²,

Tsurkan³

1986

Physica Status Solidi (b)

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A new mechanism of the amplification of hypersound by inversely distributed photoelectrons of a semiconductor in quantizing magnetic field is suggested. In contrast to the traditional amplification mechanisms (by electron drift /I, 2/ o r by high-frequency electric field / 3 n in the present case the necessary condition of amplification of sound is the decrease of E*= (qz/2 + ma4/qJ /2m (8 and i n semiconductors with a n increasing region subjected to laser illumination (under capture of electrons by shallow neutral impurity centrles with emission of phonons) was considered. This mechanism of capture is considered in the first part of the present note. The monochromatic generation of c a r r i e r s i n the conduction band occurs from the valence band or from deeper centres.Let u s consider the case when in the presence of a quantizing magnetic field in a shallow potential well of small radius a discrete level arises with depth equal to Ei = (1/2)a:wH, a is a parameter characterising the interaction of electrons with the impurity, aH is the cyclotron frequency (if is supposed that in the absence of H there are no bound states in the well /6, ' I / and the lattice temperature is T e E.). We consider that the initial energy of the photoelectrons sat1 sfi es the inequality

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Theory of the photodetachment of negative ions in a magnetic field

Cited by 83 publications

References 10 publications

Photodetachment of an electron bound by a zero-range potential in magnetic fields of arbitrary strength

Photodetachment of an electron bound by a zero-range potential in magnetic fields of arbitrary strength

Propagation in Crossed Electric and Magnetic Fields: The Quantum Source Approach

The Amplification of Hypersound by Photoelectrons in Quantizing Magnetic Field

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