https://doi.org/10.1140/epjd/s10053-024-00840-8
Regular Article - Atomic Physics
Quantum information-theoretical analysis on the two-photon transitions in hydrogen isoelectronic ions under plasma confinement
1
Department of Chemical Sciences, IISER Kolkata, 741246, Mohanpur, Nadia, India
2
Ramakrishna Mission Vivekananda Centenary College, Rahara, 700118, Kolkata, West Bengal, India
3
Department of Physics, Aliah University, IIA/27, 700160, Newtown, Kolkata, India
4
Department of Physics, School of Mathematical Sciences, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, 711202, Howrah, India
5
Department of Physics, Acharya Prafulla Chandra College, 700131, New Barrackpore, Kolkata, India
6
Institut für Physik, Universität Kassel, 34109, Kassel, Germany
Received:
16
January
2024
Accepted:
2
April
2024
Published online:
20
May
2024
Quantum information-theoretical measure in terms of Shannon and Fisher entropy in conjugate position and momentum spaces provides important information about the localization/delocalization patterns of the inter-atomic charge density under arbitrary confining environments. In this article, we have attempted to employ such measures to the ground, excited, and the virtual states arising out of two-photon transitions (
; 
, 
) of weakly coupled classical plasma embedded H iso-electronic ions (nuclear charge, 
). The wavefunction for the said states is essentially a linear combination of the Slater-type orbitals, the coefficients of which are generated from a fourth-order time-dependent perturbation theory within the variational framework. A complementary nature has been noted in the Shannon and Fisher measures versus the plasma screening parameter plot in the conjugate spaces. A novel scaling law has been proposed to replicate the variation of the Shannon and Fisher entropy w.r.t.Z for the virtual as well as real 2p states of free and plasma confined ions.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
