On the validity of the sum rule for multiphoton free-free transitions

Daniele, Rosalba; Morales, Francesca; Trombetta, F.

doi:10.1088/0022-3700/19/5/003

Cited by 11 publications

(7 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We demonstrated the limitations of the FBA and used instead the [1, 1] Padé approximation (PA). The comparison of our results with the results of Daniele et al (1986) was also presented in this paper. In the second investigation of Daniele et al (1987) the following approximate analytical results were obtained for the total cross section (TCS) in the FBA (σ B ) and eikonal approximation (EA, σ E )…”

Section: Introductionsupporting

confidence: 53%

“…θ i is the polarization angle of the laser field (cos θ i = ê • qi ). For parallel geometry ( qi = ê) and A 0 < q i (which is equivalent to the condition v 0 < v i of Daniele et al (1986Daniele et al ( , 1987, because v 0 /v i = A 0 /q i ), from (4) follows…”

Section: Tcs In the Born Approximation Versus The Off-shell Lfa Total...mentioning

confidence: 99%

“…which is equivalent to our result (11). For E q i = 100 eV = 3.674 au, a 0 = 1/λ = 50 a B and C 0 = 1 au (which were the most frequently used values in the numerical computations by Daniele et al (1986Daniele et al ( , 1987 and by Milošević (1995)) one gets a/q 2 i = 3.54 × 10 −2 and the approximation ( 8) is satisfied if v 0 is not too close to v i (for example, for v 0 < 0.4v i we have a/(v i − v 0 ) 2 < 0.1). The TCS in the FBA can be obtained using the result for T 2B fi and the optical theorem.…”

Section: Tcs In the Born Approximation Versus The Off-shell Lfa Total...mentioning

confidence: 99%

“…Contrary to the large number of theoretical investigations presented, numerical results are shown only in a small number of papers. Here we mention Shakeshaft's (1983) work in which the results for a separable potential are given and the papers by Daniele et al (1986Daniele et al ( , 1987 in which the results are obtained for the Yukawa potential in the FBA. In our recent investigation (Milošević 1995) we presented a generalization of the Kroll-Watson LFA 0953-4075/97/225251+08$19.50 c 1997 IOP Publishing Ltd (which we shall call the off-shell LFA) and applied it to the case of a Yukawa potential.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Off-shell low-frequency approximation for potential scattering in a strong laser field: eikonal versus [1,1] Padé approximation

Milošević

1997

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

View full text Add to dashboard Cite

Analytical and numerical results for the T -matrix and the total cross section for scattering by a Yukawa potential in a strong low-frequency laser field are presented. They are based on our recently derived off-shell low-frequency approximation. The conditions under which the results by Daniele and co-workers can be applied are analysed. Expressions for the T -matrix and for the total cross section for scattering in a laser field in the eikonal approximation are derived. The total cross section is presented in the form of an eikonal multiple scattering series as a product of two factors. One of these factors only depends on the type of the scattering potential, while the other depends on the parameters of the scattered particle and the laser field. The results obtained are in good agreement with our earlier findings derived by using the [1, 1] Padé approximation.

show abstract

Section: Introductionsupporting

confidence: 53%

Section: Tcs In the Born Approximation Versus The Off-shell Lfa Total...mentioning

confidence: 99%

Section: Tcs In the Born Approximation Versus The Off-shell Lfa Total...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Off-shell low-frequency approximation for potential scattering in a strong laser field: eikonal versus [1,1] Padé approximation

Milošević

1997

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

View full text Add to dashboard Cite

show abstract

“…The diabatic approximation follows the sum rule more closely than the R-matrix calculation and the KWA because it utilizes more low-frequency features in the approximation. The validity of the sum rule was reported to have other restrictions (Daniele et al 1986(Daniele et al , 1987. The experimental parameters examined in this paper do not violate the restrictions.…”

Section: The Sum Rulementioning

confidence: 56%

Low-energy electron - argon scattering in a low-frequency laser field

Chen

Robicheaux

1996

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

View full text Add to dashboard Cite

We have used several non-perturbative Floquet methods to calculate the differential and total cross sections for electron scattering from argon in a CO 2 laser field. One method utilizes the mixed-gauge R-matrix technique to calculate the scattering cross section. A diabatic approximation adopted from molecular applications is also applied to this low-frequency limit. Results are compared with the well known Kroll-Watson approximation. We find that all three theoretical treatments agree well with each other but do not agree with some experimental results. Possible explanations for the discrepancy between the calculations and experiments are examined.

show abstract