Dynamic polarizabilities and hyperpolarizabilities of the hydrogen negative ion

Pipin, Janusz; Bishop, David M.

doi:10.1088/0953-4075/25/1/008

Cited by 36 publications

(27 citation statements)

References 17 publications

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“…This value represents one of the most accurate values of the static dipole polarizability of the H À anion achieved so far. The published theoretical and experimental data nearest to our value are 201.8 [55], 206.2 [52,53] and 215.53 au [54]. This last value follows from the precise analysis of H À in both laser and strong static electric fields by Frolov et al [54].…”

Section: Polarizabilities Of Confined Two-electron Systems 2753supporting

confidence: 83%

Polarizabilities of confined two-electron systems: the 2-electron quantum dot, the hydrogen anion, the helium atom and the lithium cation

et al. 2005

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The static dipole polarizabilities of two-electron systems confined by a spherical harmonic-oscillator potential ! have been calculated by the coupled-cluster CCSD method. The combined effect of the confining potential ! and the central electrostatic field on the polarizabilities of the quantum dot, and the confined systems, H À , He and Li þ , respectively, have been investigated. The polarizabilities of the quantum dot can be calculated analytically. The polarizability of the 2-electron quantum dot for ! ¼ 0.01 is calculated to be 19 996 au, in perfect agreement with the exact value, 20 000 au. Already medium confinement, ! ¼ 1.0, reduces to 2.00 au. The decrease of the polarizability is smaller for H À ( ¼ 216:1 au for ! ¼ 0.0 and 0.985 au for ! ¼ 1.0), and much smaller for He and Li þ (1.3819 and 0.3813 au for He for ! ¼ 0.0 and ! ¼ 1.0, respectively, and 0.1921 and 0.128 au for Li þ ). The theoretical polarizabilities for unconfined (! ¼ 0.0) H À , He and the Li þ cation are in very good agreement with the best published theoretical and/or experimental data. Our final polarizability for H À , 216:0 AE 0:5 au, appears to be one of the most accurate values published so far. The optimization procedures of basis sets applicable to calculations of polarizabilities of systems confined by a spherical harmonic-oscillator potential are presented.

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Section: Polarizabilities Of Confined Two-electron Systems 2753supporting

confidence: 83%

Polarizabilities of confined two-electron systems: the 2-electron quantum dot, the hydrogen anion, the helium atom and the lithium cation

et al. 2005

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“…The hyperpolarizability γ 4 (ω; l) is an important atomic parameter and involves a complicated combination of fourth-order PT matrix elements (see, e.g., [141]). For H − , γ 4 (ω; l) (for the case of linear polarization) was calculated, taking into account electron correlations, perturbatively (in F) in [189] (in the static limit ω = 0) as well as nonperturbatively (in F) [108,190]. It is somewhat surprising that the simple δ-model result in (B.16)-(B.18) is in close agreement with results of these sophisticated calculations (see comparisons in [191], where the δ-model result for the dynamical hyperpolarizability of H − in the presence of a strong static electric field is also presented).…”

Section: B2 Rayleigh-schrödinger Resultsmentioning

confidence: 99%

Multiphoton detachment of a negative ion by an elliptically polarized, monochromatic laser field

Manakov

Frolov

Borca

et al. 2003

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

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The quasistationary quasienergy state approach (QQES) is applied to the analysis of partial (n-photon) decay rates and angular distributions (ADs) of photoelectrons produced by an elliptically polarized laser field. The problem is formulated for a weakly bound electron with an energy E 0 in the threedimensional δ-model potential (which approximates the short-range potential of a negative ion) interacting with a strong monochromatic laser field having an electric vector F (ωt). The results presented cover weak (perturbative), strong (nonperturbative), and superstrong field regimes as well as a wide interval of frequencies ω extending from the tunnelling (hω |E 0 |) and multiphoton (hω < |E 0 |) cases up to the high frequency domain (hω > |E 0 |).For a weak laser field, exact equations for the normalization factor and for the Fourier coefficients of the QQES wavefunction at the origin (|r| → 0) (that are key elements of the QQES approach for a δ-model potential) as well as for the detachment amplitudes are analysed analytically using both standard RayleighSchrödinger perturbation theory (PT) in the intensity, I , of the laser field and Brillouin-Wigner PT expansions involving the exact (complex) quasienergy . The lowest-order perturbative results for the n-photon ADs are presented in analytic form, and the parametrization of ADs in terms of polarization-and angular-independent atomic parameters is discussed for the general case of elliptical polarization. The major emphasis is on the analysis of an ellipticity induced distortion of three-dimensional ADs and, especially, on the elliptic dichroism (ED) effect, i.e. the dependence of the photoelectron yield in a fixed direction n on the sign of the ellipticity (or on the helicity) of a laser field. The dominant role of binding potential effects for a correct description of ED and threshold effects is demonstrated, and the intimate relationship between atomic ED factors and scattering phases of the detached electron is established for multiphoton detachment, including the above-threshold case. For a strong laser field, we present an accurate derivation for the QQES wavefunction and decay rates in the Keldysh approximation (KA) from exact QQES equations, including analytical, first-order ('rescattering') corrections to the KA results. The symmetries of ADs and the existence of ED are established using the exact analytical result for the n-photon detachment amplitude. Accurate numerical results are presented for the variation of the structure of the ADs as well as of the ED effect with increasing laser intensity.For the high frequency case,hω > |E 0 |, a rigorous analytical treatment of higher-order PT effects is presented for one-photon detachment, taking into account corrections of higher orders in I to the well-known photodetachment cross section for a short-range potential. Together with the exact numerical analysis of the total and partial decay rates forhω > |E 0 |, these results demonstrate the existence of a quasistationary stabilization regime in the de...

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“…By replacing zyo in (p(zl0) by (Ho -~~l f i , eq. [16], and then using the Hermitean properties of the operator, E,, will be cancelled. Doing the same thing for (Olzlm), but three times in succession, will remove EIIL3.…”

Section: (Ijk) and Y ( K )mentioning

confidence: 99%

“…For H-, 200, 150, and 175 functions were used (16) Sciences and Engineering Research Council of Canada and, for Li+, 100, 100, and 150 functions (17).…”

Section: Acknowledgementsmentioning

confidence: 99%

Dispersion formulas for real- and imaginary-frequency-dependent hyperpolarizabilities

Bishop¹

1996

Can. J. Chem.

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The dynamic second hyperpolarizability for real frequencies, yll (-oa;ol,02,03) in the limit o; + 0 can be expressed as yl10 + A1lnwLZ, where oL2 = ma2 + oI2 + w2 + 03' and yl10 is the frequency-independent (static) quantity; the parallel subscript ((1) indicates that the polarization and electric fields all lie along the same axis. In this paper the coefficient Alln is evaluated exactly for the H atom and very accurately for He, He, and Li+. A similar analysis is carried out for yll(-io; io, 0,O) in the limit o + oo.Key words: nonlinear optics, hyperpolarizabilities, dispersion formulas.RCsumC : On peut exprimer la deuxikme hyperpolarisabilitC dynamique de frCquences rCelles, y I I ( -~; o1, w , 0 3 ) dans la limite w; -0, peut Etre exprimCe sous la forme yl10 + AIIooL2, dans laquelle o~' = ma2 + oI2 + w2 + o3' et ylln est la [Traduit par la rCdaction]

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Dynamic polarizabilities and hyperpolarizabilities of the hydrogen negative ion

Cited by 36 publications

References 17 publications

Polarizabilities of confined two-electron systems: the 2-electron quantum dot, the hydrogen anion, the helium atom and the lithium cation

Polarizabilities of confined two-electron systems: the 2-electron quantum dot, the hydrogen anion, the helium atom and the lithium cation

Multiphoton detachment of a negative ion by an elliptically polarized, monochromatic laser field

Dispersion formulas for real- and imaginary-frequency-dependent hyperpolarizabilities

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