By et al S. H. Lin (Editor)
Between others, chemistry, physics, biology, and fabric sciences have visible a quick development in either experimental and theoretical reviews of multi-photon tactics and spectroscopy of atoms, ions and molecules. This publication is a vital addition to a sophisticated sequence that comprises overview papers readable not just via energetic researchers in those components, but additionally by means of people who are meaning to input the sphere. Written through specialists within the region, the experiences are self-contained to permit readers to know the main innovations with out a lot coaching. This quantity should be worthy to energetic researchers in addition to to scientists in biology, chemistry, fabric sciences, and physics.
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Additional resources for Advances In Multi-photon Processes And Spectroscopy
60) using the residue theorem yields √ 16ieI03 πa7 F · p + eωF us i exp (61) L(p ) = j(us ) , 2 ωj (u )2 1 − u2 3/2 ω s s where e j (us ) = mω 1 − u2s F· p+ eF us ω (62) and p2 e2 F 2 us 1 − u2s sin−1 us − j(us ) = I˜0 + 2m 4mω2 − eF · p mω 1 − u2s − 1 . (63) Notice that the denominator of the integrand of Eq. (60), (1 − u2 )3/2 , is approximated by (1 + γ 2 )3/2 due to the assumption of small Keldysh parameter γ and low kinetic momentum p (cf. Appendix B). A remarkable advantage of our method is that the singular point of the integrand and the zero point of j (u) do not necessarily have to coincide in Eq.
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Theory-atomic case In this sub-section, we concentrate on the photoionization of hydrogen-like atoms. The initial wave function, ψg (r ), is given by ψg (r ) = 1 r exp − , 3 πa a a= a0 , Z where Z represents the effective nuclear charge and I0 = −Eg = (ionization potential). (59) Z2 e 2 2a0 ch02 March 2, 1994 9:41 WSPC/SPI-B348: Advances of Multi-Photon Processes and Spectroscopy (AMPS Vol 17) Generalization and Application to Molecular Systems 45 Unlike the original atomic Keldysh theory, we expand the exponent and the denominator of the integrand of Eq.