Quantum phase transition in symmetric quantum three-body system

Sadhukhan, Anjan; Mondal, Santanu; Nayek, Sujay Kr.; Saha, Jayanta K.

doi:10.1140/epjd/s10053-021-00084-w

Cited by 1 publication

(1 citation statement)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…That particular Z value is referred to as the critical nuclear charge of the system (Z c ). In this context, the study of the critical stability of two-electron systems has gained considerable interest [20,[63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78]. For a recent review on the bound state stability of H − ions in the Hartree-Fock theory in the unconfined state, refer to [79].…”

Section: Introductionmentioning

confidence: 99%

Stability of a two-electron system under pressure confinement: structural and quantum information theoretical analysis

Mondal

Sadhukhan

Sen

et al. 2023

J. Phys. B: At. Mol. Opt. Phys.

Self Cite

View full text Add to dashboard Cite

The stability of two-electron Zee system trapped inside an impenetrable spherical cavity are analyzed using explicitly correlated multi-exponent Hylleraas type basis set in the framework of Ritz variational method. The wavefunction is considered to be consistent with the Dirichlet's boundary condition. Four different Z\in [1,(Z_c)_b,0.25,0.0] values are considered, where (Z_c)_b denotes the critical nuclear charge beyond which the system is embedded in discrete positive energy continuum due to the impenetrable nature of the cavity. The energy contribution due to total correlation (in the presence of both radial and angular correlation) effect, the radial correlation limit and angular correlation limit are also studied in details. The thermodynamic pressure felt by the two-electron Zee system inside the cavity is estimated and a formula replicating the behaviour between the pressure and volume of the cavity is deduced by fitting procedure. Different geometrical properties e.g. radial moments [\langle r_1^p\rangle, \langle r_1r_2\rangle, \langle r_{12}^p\rangle, \langle r_< \rangle, \langle r_>\rangle, p = 1-3], angular moments [\langle\cos\theta_1\rangle, \langle\cos\theta_{12}\rangle] and related important physical quantities are determined. The variation of Kirkwood and Buckingham polarizabilities w.r.t. the pressure felt by the two-electron Zee system are analyzed. The one-electron radial density is estimated for each pair of (Z,R), which has been employed to generate the electrostatic potential as well as different information theoretical measures like Shannon entropy, Fisher entropy, R'{e}yni entropy, Tsalis entropy and Onicescu informational energy. The chosen set of information theoretical measures have been found to be the sensitive tools for describing the changes in the electronic structure due to the spatial confinement. An interesting interplay between the electronic and the nuclear contribution to the classical electrostatic potential is observed leading to the shift in the position of its characteristic minimum due to the compression. Wherever possible, a comparison is made in order to ascertain a high accuracy of our numerical results. The procedure of analytic evaluation of the integrals needed to estimate the atomic properties under consideration are discussed in details.

show abstract