2006
DOI: 10.1103/physreva.73.033410
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Time-dependent theoretical description of molecular autoionization produced by femtosecond xuv laser pulses

Abstract: We present a nonperturbative time-dependent theoretical method to study H 2 ionization with femtosecond laser pulses when the photon energy is large enough to populate the Q 1 ͑25-28 eV͒ and Q 2 ͑30-37 eV͒ doubly excited autoionizing states. We have investigated the role of these states in dissociative ionization of H 2 and analyzed, in the time domain, the onset of the resonant peaks appearing in the proton kinetic energy distribution. Their dependence on photon frequency and pulse duration is also analyzed. … Show more

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Cited by 98 publications
(127 citation statements)
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“…[8] and [31] for more details). The method includes all electronic and vibrational (dissociative) degrees of freedom and therefore accounts for electron correlation and the nuclear motion.…”
Section: B Quantum Calculationsmentioning
confidence: 99%
“…[8] and [31] for more details). The method includes all electronic and vibrational (dissociative) degrees of freedom and therefore accounts for electron correlation and the nuclear motion.…”
Section: B Quantum Calculationsmentioning
confidence: 99%
“…This time-independent theory along with Dill's formulas [2] have been used to compute MFPADs in H 2 and D 2 for linearly polarized light [27] as well as for circularly polarized light [23,39]. Here we use instead a recent extension of this methodology to the time domain [40], which allows for the temporal scrutiny of the resonant photodynamics involved in CDAD. The adiabatic and the dipolar approximations are assumed.…”
Section: Theoretical Methodsmentioning
confidence: 99%
“…The time-dependent wave function (r,R,t) is expanded in a basis of fully correlated adiabatic Born-Oppenheimer (BO) vibronic stationary states of energy W k , which include the bound states, the resonant doubly excited states, and the nonresonant continuum states of H 2 [40]:…”
Section: Theoretical Methodsmentioning
confidence: 99%
“…Numerical solutions seeking to include the vibrational motion have only been obtained by reducing the dimensionality of the problem [49,50]. Very recently, the full dimensionality of the electronic and vibrational problem has been taken into account by performing a close-coupling expansion of the time-dependent molecular wave function Φ(r, R, t) [51][52][53][54][55][56][57][58][59][60] (this is at variance with previous applications of the time-dependent close-coupling method within the fixed-nuclei approximation [61,62]). In this method, Φ(r, R, t) is expanded in the basis of stationary vibronic states Ψ nvn (r, R) of energy W nvn ,…”
Section: Time-dependent Theoriesmentioning
confidence: 99%
“…It is important to stress here that, in all existing applications of the time-dependent close-coupling method, non adiabatic couplings associated with the derivatives of the electronic wave functions with respect to the nuclear coordinates that arise upon substitution of expansion (10) in the TDSE are partially or totally neglected. In this context, and for practical reasons, it is most convenient to write the molecular stationary states Ψ lα εαvα (r, R) in the BO form given by equation (2) for autoionizing states provided that their coupling with the non resonant continuum states is also included (see [57] for details).…”
Section: Time-dependent Theoriesmentioning
confidence: 99%