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Collisional averaging of the Stark and Zeeman spectrum structure

Anatoly I. Burshtein, Gennady I. Smirnov

Published Dec 1, 1973• 0 citations
OpenAlex

Abstract

The effect of depolarizing collisions on the shape of the spectrum in the quadratic Stark effect or anomalous Zeeman effect is conSidered. It is shown that collisions may result in merging (collapse) of the allowed spectral components. It is found that exchange between the Stark and Zeeman components can be observed by analyzing the structure of the Lamb dip. An additional (certral) dip is detected. Methods for experimental determination of the collisional relaxation constants and of the parameters of the Stark and Zeeman structures of the spectrum are mentioned. (auth)

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arXiv:physics/9905019•Canadian Journal of Physics•Jan 1, 1999•6 citations
The effect of depolarizing collisions on the shape of the spectrum in the quadratic Stark effect or anomalous Zeeman effect is conSidered. It is shown that collisions may result in merging (collapse) of the allowed spectral components. It is found that exchange between the Stark and Zeeman components can be observed by analyzing the structure of the Lamb dip. An additional (certral) dip is detected. Methods for experimental determination of the collisional relaxation constants and of the parameters of the Stark and Zeeman structures of the spectrum are mentioned. (auth)
Very briefly described is research conducted on the following topics: Fine structure and Zeeman effect of helium; Zeeman and Stark effect of positronium; hyperfine structure of the muonic helium atom; Lamb shifts of hydrogenic ions of high Z; nonadiabatic effects in slow atomic collisions; quenching of the metastable 2S state of muonic hydrogen and the muonic helium ion; two photon absorption; and quantization of electrodynamics hyperboloids and generalization of the effective action for electrodynamics.
A new technique of microwave spectroscopy is proposed for application to excited states of short lifetime. If atoms are excited by electron bombardment, closely-spaced energy levels may be unequally populated. The radiation emitted in decay to lower states may have an angular distribution and polarization character correlated with the direction of bombardment. When such atoms are acted on by radio-frequency fields, transitions may occur between excited states which cause an observable change in the pattern of decay radiation. An analysis is made of the possibility of applying such a method to a determination of the finestructure patterns (1snp)3PJ(J=0,1,2)(1snp)^{3}P_{J}(J=0, 1, 2)(1snp)3PJ​(J=0,1,2) of the helium atom. After a review of previous optical spectroscopic work and theory of this fine structure, an old unsolved mystery concerning the polarization of collision light is discussed. The theory of the Zeeman effect is worked out in a form applicable to the microwave experiments. Expected transition frequencies and rf matrix elements, intensity changes and shape of resonance curves, Stark effect and singlet-triplet mixing are also considered. An estimate is made of the signal to be expected in the experiment described in the following paper.
Resonance fluorescence due to intense laser fields from a Zeeman degenerate atom being perturbed by collisional interactions is calculated in the impact regime by using the quantum-fluctuation-regression theorem. Various interesting effects are found. For example, the scattered intensity spectrum for a J=0J=0J=0 to J=1J=1J=1 transition for polarization parallel to the laser polarization is essentially an asymmetric triplet, whereas for a perpendicular polarization due to collisions the spectrum is essentially a doublet (whose frequencies do not correspond with any of those of the triplet). Further, the width of the fluorescent component (whose frequency is close to the unperturbed frequency) actually decreases with increasing laser power.
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In this paper, a coherent superposition of angular-momentum states created by absorption of polarized light by molecules is analyzed. Attention is paid to the time evolution of wave packets representing the spatial orientation of the internuclear axis of a diatomic molecule. Two examples are considered in detail. Molecules absorbing light in a permanent magnetic field experiencing the Zeeman effect and molecules absorbing light in a permanent electric field experiencing the quadratic Stark effect. In a magnetic field, we have a wave packet that evolves in time exactly as a classical dipole oscillator in a permanent magnetic field (classical-physics picture of the Zeeman effect). In the second case, we have a wave packet that goes through periodical changes of shape of the packet with revivals of the initial shape. This is pure quantum behavior. The classical motion of angular momentum in an electric field in the case of a quadratic Stark effect is known to be a periodic. Solutions obtained for wave packet evolution are briefly compared with Rydberg-state coherent wave packets and harmonic-oscillator wave packets. Zeeman and Stark effects in small molecules continuously attract the attention of researchers, theoreticians, as well as experimentalists. These investigations allow us to obtain a deeper understanding of the interaction of molecules with stationary external fields and also can be used as a practical tool to measure different molecular characteristics, such as permanent electric or magnetic dipole moments, intramolecular perturbations, etc. It is worthwhile analyzing these effects as an evolution of wave packets. All this motivates a comparison of the quantum and classical picture of Zeeman and Stark effects in molecules.PACS No.: 33.55.Be