Positronium under harmonic and plasma confinement

Munjal, Deepti; Vidhani, Bhavna; Prasad, Vinod

doi:10.1063/1.5033215

Cited by 1 publication

(2 citation statements)

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“…We would like to further clarify that the two‐particle Hamiltonian employed by Munjal et al [53, 54] is essentially different from the above effective two‐electron model. These authors proposed

H ((),, r_{1}, r_{2}) goodbreak= goodbreak- \frac{1}{2} \nabla_{1}^{2} goodbreak- \frac{1}{2} \nabla_{2}^{2} goodbreak+ V_{1} ((), r_{12}) goodbreak+ V_{2} ((), r_{12}),

where

V_{1} ((), r_{12}) goodbreak= ({, \begin{array}{l} 0 & ((), r_{12} < r_{\max}) \\ \infty & ((), r_{12} \geq r_{\max}), \end{array})

and

V_{2} ((), r_{12}) goodbreak= ({, \begin{array}{l} goodbreak- \frac{1}{r_{12}} e^{- λ r_{12}} & ((), SCP) \\ goodbreak- \frac{1}{r_{12}} e^{- λ r_{12}} \cos ((), λ r_{12}) & ((), ECSCP) . \end{array})

After factoring out the movement of the center of mass, the relative motion between the electron and positron is just reduced to the one‐electron model depicted in Figure 4A.…”

Section: Resultsmentioning

confidence: 98%

“…In their work, the ground state wave function was calculated by using the Slater-type orbitals with a cut-off function and the polarizabilities were estimated by employing the timedependent harmonic perturbation method. The most recent work of Munjal et al [53,54] extended their calculations on the dipole polarizability for spherically confined Ps atoms in both SCP and ECSCP. The radial Schrödinger equation was solved by using the eighth-order central finite difference method and the polarizabilities were obtained through the sum-over-states formalism.…”

Section: Confined Ps Atom In Scp and Ecscp In Hydrogen-like Modelmentioning

confidence: 99%

See 1 more Smart Citation

Multipole polarizabilities of spherically confined hydrogen atom and positronium in screened Coulomb potential

Jiao

Liu

et al. 2022

Int J of Quantum Chemistry

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The static multipole polarizabilities of the hydrogen atom interacting with a screened Coulomb potential confined in an impenetrable spherical box are calculated in the sum‐over‐states formalism. The system eigenenergies and wave functions are produced by employing the generalized pseudospectral method. High‐precision results are obtained to resolve the discrepancies between previous predictions, and used to analyze the critical behavior of the system with varying the confinement radius and screening parameter. A scaling law of the multipole polarizabilities with respect to the nuclear charge and electron reduced mass is proposed. Based on the scaling law we extend the investigation to the spatially confined positronium atom in a screened Coulomb potential by utilizing a reduced one‐electron model. The results are in good agreement with previous estimates. However, it is conjectured that when the confinement radius is small the confined positronium atom should be treated more reasonably by an effective two‐electron model.

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H ((),, r_{1}, r_{2}) goodbreak= goodbreak- \frac{1}{2} \nabla_{1}^{2} goodbreak- \frac{1}{2} \nabla_{2}^{2} goodbreak+ V_{1} ((), r_{12}) goodbreak+ V_{2} ((), r_{12}),

where

V_{1} ((), r_{12}) goodbreak= ({, \begin{array}{l} 0 & ((), r_{12} < r_{\max}) \\ \infty & ((), r_{12} \geq r_{\max}), \end{array})

and

V_{2} ((), r_{12}) goodbreak= ({, \begin{array}{l} goodbreak- \frac{1}{r_{12}} e^{- λ r_{12}} & ((), SCP) \\ goodbreak- \frac{1}{r_{12}} e^{- λ r_{12}} \cos ((), λ r_{12}) & ((), ECSCP) . \end{array})

After factoring out the movement of the center of mass, the relative motion between the electron and positron is just reduced to the one‐electron model depicted in Figure 4A.…”