By Gavrila M. (ed.)
The sphere of laser-atom interactions has gone through incredible growth lately, due basically to the appearance of superintense laser radiation. New phenomena were found over a vast diversity of frequencies, from microwaves to the seen, and to X-rays, which require novel theoretical ways. This booklet includes a distinctive choice of overviews of the most recent advances, written by way of a few of the best experts. it's addressed to all these energetic in those fields, however it comprises enough introductory info to make it invaluable for a extra normal viewers. The publication examines the results of superintense laser fields on multiphoton ionization and harmonic new release; covers novel results with ultrashort, subpicosecond laser pulses; beneficial properties Rydberg atoms in extreme microwave fields; and offers nonperturbative theories of laser-atom interactions, similar to the Floquet equipment and the time based Schroedinger schooling technique.
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Additional info for Atoms in intense laser fields
12) Hnr (ξ) exp −ξ 2 /2 . √ Here once more notation is introduced ξ ≡ nω (r − r0 ) . According to Eq. 10), the unperturbed harmonic oscillator has the frequency ω0 = nω. In the region of localization of a particle the typical deviations of this particle from the equilibrium point are small: −1/2 (r − r0 ) ∼ ω0 ∼ n −1/2 1. Analogous estimates are valid for deviations of radial coordinate in anharmonic terms which can be considered as small perturbation of the harmonic oscillator. We write this perturbation in the form of sum of two terms: one term is even function of the variable x ≡ r − r0 while the other term is odd function of this variable V = V (+) + V (−) ; V (+) (x) = 2r12 nr (nr + 1) − 23 n (2nr + 1) 0 V (−) (x) = (2nr + 1) n rx3 + n 2 αx 3 .
However, we should substitute g by g0 and put ε(0) = 0. Hence, we obtain g0 = − 1 ; r0 v (r0 ) = −2v(r0 ). 36) (1) The first approximation can be found from Eq. 12) by formal substitution εnr → −g1 v(r0 ). Taking into account Eq. 36), we obtain g1 = − 2nr + 1 1 ω− 2 2v(r0 ) r0 = (2nr + 1) ωr02 − 1 g0 . 37) Here, the frequency ω is given by Eq. 11), but with substitution g → g0 . 13)). Taking it into account, we obtain g2 = 15 22 ω 3 + s A2 − (2 + s) B v (r0 ) 16 15 8 √ 1+s 1 s 6A C + 5C + 1 − − C+ 8 4 C .
The condition of applicability of WKB approximation is fulfilled for Rydberg states on the radial dimensions r aB = 2 m e Z e2 . 4) for electron energy allows to neglect the dependence of the quantum defect on the principal quantum number n. 1 Obtain the energy spectrum, Eq. 1) of Rydberg states of atoms using WKB wave function, Eq. 3). 3) corresponds to taking into account the boundary condition at r → 0 in the exact radial wave function, where Eq. 3) is inapplicable. The boundary condition in the infinity, r → ∞, is Rnl (r ) → 0.
Atoms in intense laser fields by Gavrila M. (ed.)