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 Conference Series

Distinguishing single photonic transitions from the multiphotonic cases for photonic transitions in hydrogen-like atoms

Ziya Saglam

Published Nov 5, 2012• 0 citations
Publisher

Abstract

We calculate the selection rules for single photonic transitions in hydrogen- like atoms. We show that for the first part the reduced selection rules read: . For the second part the reduced selection rules read:
DOI
10.1088/1742-6596/388/2/022067

Related papers

Multiphoton Transition in Hydrogen between 1S and 2P Levels

N. K. Rahman, Howard R. Reiss

$1S\ensuremath{-}2P$ multiphoton transition amplitudes are calculated for hydrogen atoms in the presence of an intense electromagnetic field. Nonlinear behavior of the transition amplitudes appears as in the case of $1S\ensuremath{-}2S$ transitions considered earlier.

Physical Review A•Sep 1, 1972•7 citations

Spin-statistic selection rules for multiphoton transitions: Application to helium atoms

Timur A. Zalialiutdinov, Dmitry A. Solovyev, Leonti N Labzowsky +1 more

A theoretical investigation of the three-photon transition rates $2\phantom{\rule{0.16em}{0ex}}{}^{1}{P}_{1}\ensuremath{\rightarrow}2\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}\phantom{\rule{0.28em}{0ex}},1\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}$ and $2\phantom{\rule{0.16em}{0ex}}{}^{3}{P}_{2}\ensuremath{\rightarrow}2\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}\phantom{\rule{0.28em}{0ex}},1\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}$ for the helium atom is presented. Photon energy distributions and precise values of the nonrelativistic transition rates are obtained with employment of correlated wave functions of the Hylleraas type. The possible experiments for the tests of the Bose-Einstein statistics for multiphoton systems are discussed.

arXiv:1601.04156•Physical Review A•Jan 14, 2016•8 citations

A LAW OF SPECTRA FOR HYDROGEN ATOM IN A UNIFORM ELECTRIC FIELD

Changxin Zhang

According to a simplified formula for the secular equation and energy levels in the first-order Stark effect on hydrogen atom,and the selection rules for light radiation,a law for the splitting of hydrogen atom spectra in a uniform electric field is developed.

Journal of Anhui Normal University•Jan 1, 2005•0 citations

Comment on analytical calculations of two-photon transition amplitudes for the hydrogen atom

Крыловецкий Александр Абрамович, Nikolai L. Manakov, S. I. Marmo

It is shown that analytical results for amplitudes of two-photon transitions from an arbitrary bound state of the hydrogen atom published in two recent papers in this journal reduce to an essentially simpler form that considerably simplifies both analysis and numerical evaluations.

Journal of Physics B Atomic Molecular and Optical Physics•Jan 25, 2005•6 citations

Quantum Controllable Optical Selectivity of Single-Photon Excitation in a Dense Medium

Han Xu, Heping Zeng

Selective multiphoton excitations can be achieved by tailoring the driving pulses to manipulate the outcome of the light-matter interaction. While single-photon transitions of single atoms driven by ultrashort pulses, dependent mainly on the resonant frequency component, and thus possesses no optical selectivity no matter how the excitation pulse shapes [1]. Interestingly, when an ultrashort pulse interacts with an optically dense medium, quantum controllable optical selectivity can be achieved in a single-photon process.

Frontiers in Optics•Jan 1, 2003•0 citations

Spin dependent selection rules for photonic transitions in hydrogen-like atoms

M. Sağlam, Ziya Saglam

We calculate the spin dependent selection rules for photonic transitions in hydrogen-like atoms by taking the eigenfunctions of Dirac hydrogen-like atoms. It is shown that photonic transitions occur when [Δ j = 0,±l,±2 while Δ m j = 0,±1,±2]. We apply the present selection rules to the so-called parity violating transition (such as 6s → 7s in atomic Cesium Cs) and show that it is possible according to the present selection rules.

Journal of Physics Conference Series•Nov 5, 2012•0 citations
A theoretical investigation of the three-photon transition rates $2\phantom{\rule{0.16em}{0ex}}{}^{1}{P}_{1}\ensuremath{\rightarrow}2\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}\phantom{\rule{0.28em}{0ex}},1\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}$ and $2\phantom{\rule{0.16em}{0ex}}{}^{3}{P}_{2}\ensuremath{\rightarrow}2\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}\phantom{\rule{0.28em}{0ex}},1\phantom{\rule{0.16em}{0ex}}{}^{1}{S}_{0}$ for the helium atom is presented. Photon energy distributions and precise values of the nonrelativistic transition rates are obtained with employment of correlated wave functions of the Hylleraas type. The possible experiments for the tests of the Bose-Einstein statistics for multiphoton systems are discussed.
Selective multiphoton excitations can be achieved by tailoring the driving pulses to manipulate the outcome of the light-matter interaction. While single-photon transitions of single atoms driven by ultrashort pulses, dependent mainly on the resonant frequency component, and thus possesses no optical selectivity no matter how the excitation pulse shapes [1]. Interestingly, when an ultrashort pulse interacts with an optically dense medium, quantum controllable optical selectivity can be achieved in a single-photon process.