High precision calculation of multipolar dynamic polarizabilities and two- and three-body dispersion coefficients of atomic hydrogen

Tune‐out and magic wavelengths for hydrogenlike and screened‐hydrogenlike atoms

“…For example, DDP result for 1S state at ω = 0.1 is 4.7843003429974 a.u. whereas this value reported by Tang et al, Figari et al, and Cebim et al are respectively 4.784300342 a.u., 4.784300343 a.u., and 4.784300342997543878886370964 a.u. In the present study as we are interested to report the precise values of the TMWs and we are not concentrated on the estimation of the DPP with high accuracy at low frequency.…”

“…The above mentioned convergent values of the DDP are obtained using the 25 terms of basis functions in Equations and . However at the low frequency only few terms in Equations and is enough to obtain the accuracy as reported in Reference . For example, the static dipole polarizability using 5‐term basis functions is 4.500000000000000000000000000000 a.u.…”

“…For example, the static dipole polarizability using 5‐term basis functions is 4.500000000000000000000000000000 a.u. which is obtained by Cebim et al using two‐term basis functions as 4.500000000000000000000000000000 a.u. Similarly, the DDP at ω = 0.1 for the 1S state using 10‐term basis functions in our present work is 4.784300342997543878886124118330, as compared with the result obtained by Cebim et al using the 10‐term Slater‐type basis functions yielding 4.784300342997543878886124116451 a.u.…”

Higher order two- and three-body dispersion coefficients for alkali isoelectronic sequences by a variationally stable procedure

“…1 The polarizability is directly related to the van der Waals dispersion coefficients, which can be expressed as integrals over imaginary frequencies of products of the dynamic polarizabilities of the interacting atoms. [3][4][5][6][7][8] Tang and Chan 4 have derived an analytic closed-form expression of the dynamic multipolar polarizabilities for the atomic hydrogen in an arbitrary state. [3][4][5][6][7][8] Tang and Chan 4 have derived an analytic closed-form expression of the dynamic multipolar polarizabilities for the atomic hydrogen in an arbitrary state.…”

“…2,3 For the simplest hydrogen atom, much work has been carried out to investigate its multipolar polarizabilities and the related van der Waals coefficients. 3,8 This approach has two typical advantages: it is fast convergent with respect to the number of terms in a basis set; the van der Waals coefficients can be obtained only with the knowledge of the ground-state wave function. This expression is based on an integral representation involving the radial Coulomb Green ' s function.…”