Absorption and recurrence spectra of hydrogen in crossed electric and magnetic fields

Freund, S. M.; Ubert, R.; Flöthmann, E.-Jürgen; Welge, K. H.; Wang, D. M.; Delos, J. B.

doi:10.1103/physreva.65.053408

Cited by 30 publications

(23 citation statements)

References 32 publications

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“…1 As the magnetic field becomes higher, the Lorentz force becomes competitive with the Coulomb binding force. [7][8][9][10][11][12][13] At present, experiments for both the quadratic Zeeman effect 14,15 and the Landau levels 16,17 continue to be reported, and they extend to resonances in coexisting high magnetic and high electric fields, 18,19 which are interpreted as quantum chaos. This condition is satisfied at lower field, when the energy level is higher.…”

Section: Introductionmentioning

confidence: 99%

Experimental setup for laser spectroscopy of molecules in a high magnetic field

Takazawa

2011

Review of Scientific Instruments

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An experimental setup to measure the effects of a high magnetic field on the structure and decay dynamics of molecules is designed and constructed. A vacuum chamber is mounted in the bore of a superconducting magnet. A molecular beam passes in the chamber. Pulsed laser light excites the molecules in the field. The parent or fragment ions are extracted by an electric field parallel to the magnetic field. They are detected by a microchannel plate. Their mass and charge are determined by the time-of-flight method. The performance of the setup was examined using resonance-enhanced two-photon ionization through the X(2) Π-A(2)Σ(+) transition of nitric oxide (NO) molecules. The ions were detected with sufficient mass resolution to discriminate the species in a field of up to 10 T. This is the first experiment to succeed in the mass-selective detection of ions by the time-of-flight method in a high magnetic field. By measuring NO(+) ion current as a function of the laser frequency, the X(2)Π-A(2) Σ(+) rotational transition lines, separated clearly from the background noise, were observed in fields of up to 10 T. From the relative strengths of the transition lines, the ion detection efficiency was determined as a function of the magnetic field strength. This setup was shown to be applicable in a field higher than 10 T. The Landau levels of molecules were successfully observed to demonstrate the setup.

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Section: Introductionmentioning

confidence: 99%

Experimental setup for laser spectroscopy of molecules in a high magnetic field

Takazawa

2011

Review of Scientific Instruments

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“…Consequently for more than a quarter century (up to the present) experimentalists and theorists have been investigating atomic Rydberg spectra in external fields, including in particular the interesting case of crossed static electric and magnetic fields [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36]. These latter investigations for the crossed field case include studies of motional Stark effects on Rydberg atom spectra in a magnetic field [2], of novel, highly excited resonance states [3,6,7,8,10,12,14,17,24], of circular Rydberg states [9], of Rydberg wave packets in crossed fields ...…”

Section: Introductionmentioning

confidence: 99%

Photodetachment ofH−by a short laser pulse in crossed static electric and magnetic fields

2006

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We present a detailed quantum mechanical treatment of the photodetachment of H − by a short laser pulse in the presence of crossed static electric and magnetic fields.An exact analytic formula is presented for the final state electron wave function (describing an electron in both static electric and magnetic fields and a short laser pulse of arbitrary intensity). In the limit of a weak laser pulse, final state electron wave packet motion is examined and related to the closed classical electron orbits in crossed static fields predicted by Peters and Delos [Phys. Rev. A 47, 3020 (1993)].Owing to these closed orbit trajectories, we show that the detachment probability can be modulated, depending on the time delay between two laser pulses and their relative phase, thereby providing a means to partially control the photodetachment process. In the limit of a long, weak pulse (i.e., a monochromatic radiation field) our results reduce to those of others; however, for this case we analyze the photodetachment cross section numerically over a much larger range of electron kinetic energy (i.e., up to 500 cm −1 ) than in previous studies and relate the detailed structures both analytically and numerically to the above-mentioned, closed classical periodic orbits.

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“…The closed orbits of an electron in a hydrogen atom in crossed fields have been studied by several authors [14][15][16][17][18][19]. In particular, the graphs of a set of orbits with a negative energy value have been reported by Rao et al [20,21].…”

Section: Introductionmentioning

confidence: 99%

Electric-field effects on the closed orbits of the diamagnetic Kepler problem

2016

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The nonrelativistic closed orbits of an electron interacting with a unit positive charge in the presence of homogeneous magnetic and electric fields are investigated. A simplified theoretical model is proposed utilizing appropriate initial conditions in semiparabolic coordinates for arbitrary magnetic-and electric-field alignments. The evolution of both the angular spectrum of orbits and the shape and duration of individual orbits, as the electric-field intensity and scaled energy are increased, is shown for the cases of both parallel and crossed fields. Orbit mixing in the high-field regime is investigated in the case of parallel fields, giving an indication of the system moving from the quasi-Landau chaotic regime to the electric-field-induced (Stark effect) regular regime. For crossed fields, it is shown that the Garton-Tomkins orbits lead to a pair of orbits that have opposite behaviors as a function of the electric-field intensity. The nonrelativistic closed orbits of an electron interacting with a unit positive charge in the presence of homogeneous magnetic and electric fields are investigated. A simplified theoretical model is proposed utilizing appropriate initial conditions in semiparabolic coordinates for arbitrary magnetic-and electric-field alignments. The evolution of both the angular spectrum of orbits and the shape and duration of individual orbits, as the electric-field intensity and scaled energy are increased, is shown for the cases of both parallel and crossed fields. Orbit mixing in the high-field regime is investigated in the case of parallel fields, giving an indication of the system moving from the quasi-Landau chaotic regime to the electric-field-induced (Stark effect) regular regime. For crossed fields, it is shown that the Garton-Tomkins orbits lead to a pair of orbits that have opposite behaviors as a function of the electric-field intensity.

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Absorption and recurrence spectra of hydrogen in crossed electric and magnetic fields

Cited by 30 publications

References 32 publications

Experimental setup for laser spectroscopy of molecules in a high magnetic field

Experimental setup for laser spectroscopy of molecules in a high magnetic field

Photodetachment ofH−by a short laser pulse in crossed static electric and magnetic fields

Electric-field effects on the closed orbits of the diamagnetic Kepler problem

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