Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics B Atomic and Molecular Physics

Hyperfine-structure quantum beats: application of the graphical methods of angular-momentum theory to the calculation of intensity profiles

Robert Luypaert, Jean Van Craen

Published Dec 21, 1977• 16 citations
Publisher

Abstract

A theoretical study of quantum-beat intensity profiles is presented for the case of zero-field hyperfine-structure beats. By means of the graphical methods of angular-momentum theory, an explicit expression for the quantum-beat profiles, in the form of a multipole expansion is obtained.
DOI
10.1088/0022-3700/10/18/019

Related papers

Cascade quantum beats: the calculation of intensity profiles

Robert Luypaert, Jean Van Craen

A theoretical study of cascade quantum-beat intensity profiles is presented for the case of fine-structure beats. An explicit expression for the beat profiles, in the form of a multipole expansion, is derived using the graphical methods of angular momentum theory. The calculations take into account the possibility for the initial state being polarised. Analogous results for zero-field hyperfine-structure beats are listed.

Journal of Physics B Atomic and Molecular Physics•Aug 28, 1979•7 citations

Hyperfine structure and zero field quantum beats

P. J. O. Teubner

The consequences of zero field quantum beat studies in electron impact to the measurement of scattering parameters in electron sodium collision is explored. The beats in sodium, which were first observed in an electron photon coincidence experiment, arise from the decay of coherently excited hyperfine levels in the J=3/2 level of the 32P state.

AIP conference proceedings•Jan 1, 1982•0 citations

Ultracold molecular collisions in magnetic fields: Efficient incorporation of hyperfine structure in the total rotational angular momentum representation

Timur V. Tscherbul, José Paulo D'Incao

The authors explore an alternative basis set for incorporating the effects of hyperfine structure and external magnetic fields in quantum scattering calculations on ultracold molecular collisions. The basis set combines the computational efficiency of the total-angular-momentum basis with the ease of evaluating matrix elements pertinent to the fully uncoupled basis.

arXiv:2306.05563•Physical Review A•Nov 17, 2023•5 citations

Zero-Field Quantum Beats in the Electron-Impact Excitation of Sodium

P. J. O. Teubner, J. E. Furst, Michelle Tonkin +1 more

We report the first observation of zero-field quantum beats in the electron-impact excitation of an atomic state. The effect has been observed in electron-photon coincidence experiments on the $3^{2}P$ state in sodium. The beats arise from the influence of the hyperfine structure in the $J=\frac{3}{2}$ level of the excited state.

Physical Review Letters•Jun 15, 1981•13 citations

Jucys graphs of angular momentum theory

Gintaras Merkelis

A brief review of the results obtained in Vilnius while developing the graphical methods of quantum angular momentum theory is presented. Numerous modifications and extensions of the original method proposed by A. Jucys, J. Levinson, and V. Vanagas are discussed. The application of the graphical method to the study of one-, two-electron as well as the effective operators and their matrix elements in the coordinate and second quantization representation is surveyed.

Lithuanian Journal of Physics•Jan 1, 2004•2 citations

Quantum beats in atomic fluorescence excited by molecular photodissociation

Gerald J. Diebold

When a diatomic molecule is photodissociated on a singlet molecular potential energy surface to give two singlet atoms, one of which is electronically excited, the atoms are left in pure angular momentum states referred to the molecular quantization axis. Transformation of such pure states to a laboratory frame of reference gives atomic wave functions that are described as coherent superpositions of states. Application of an external magnetic field to an ensemble of excited atoms causes quantum beats, or, alternately, a Hanle effect to appear in the fluorescence emitted by the atoms. Calculations show that the interference effects are observed only for certain geometrical arrangements of the electric vector of the photodissociating radiation, the external field, and the polarization direction accepted by the fluorescence detector. The expressions for the fluorescence intensity show that the phase and modulation depth of the quantum beat can be used to determine the asymmetry parameter for recoil of the photofragments.

The Journal of Chemical Physics•Jul 1, 1986•0 citations
We report the first observation of zero-field quantum beats in the electron-impact excitation of an atomic state. The effect has been observed in electron-photon coincidence experiments on the 32P3^{2}P32P state in sodium. The beats arise from the influence of the hyperfine structure in the J=32J=\frac{3}{2}J=23​ level of the excited state.
When a diatomic molecule is photodissociated on a singlet molecular potential energy surface to give two singlet atoms, one of which is electronically excited, the atoms are left in pure angular momentum states referred to the molecular quantization axis. Transformation of such pure states to a laboratory frame of reference gives atomic wave functions that are described as coherent superpositions of states. Application of an external magnetic field to an ensemble of excited atoms causes quantum beats, or, alternately, a Hanle effect to appear in the fluorescence emitted by the atoms. Calculations show that the interference effects are observed only for certain geometrical arrangements of the electric vector of the photodissociating radiation, the external field, and the polarization direction accepted by the fluorescence detector. The expressions for the fluorescence intensity show that the phase and modulation depth of the quantum beat can be used to determine the asymmetry parameter for recoil of the photofragments.