Abstract
An exact solution of the Schrödinger equation has been obtained in the sudden perturbation approximation for the case of the interaction of attosecond and shorter electromagnetic pulses with multielectron atoms. This solution makes it possible to exactly take into account the spatial inhomogeneity of the field of an ultrashort pulse. The result has been presented in an analytical form.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. M. Dykhne and G. L. Yudin, Sov. Phys. Usp. 21, 549 (1978).
A. B. Migdal, Qualitative Methods in Quantum Theory (Nauka, Moscow, 1975; Benjamin, Reading, MA, 1977).
V. I. Matveev and E. S. Parilis, Sov. Phys. Usp. 25, 881 (1982).
V. I. Matveev, Phys. Part. Nucl. 26, 329 (1995).
I. C. Percival, in Atoms in Astrophysics, Ed. by P. G. Burke, W. Eissner, D. G. Hummer, and I. C. Percival (Plenum, New York, London, 1983), p. 87.
E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, A. N. Oraevskii, and A. V. Uskov, JETP Lett. 47, 523 (1988).
E. M. Belenov and A. V. Nazarkin, JETP Lett. 51, 288 (1990).
S. V. Sazonov and E. V. Trifonov, J. Phys. B: At. Mol. Opt. Phys. 27, L7 (1994).
A. Nazarkin and G. Korn, Phys. Rev. A 58, R61 (1998).
A. Yu. Parkhomenko and S. V. Sazonov, J. Exp. Theor. Phys. 87, 864 (1998).
S. V. Sazonov, J. Exp. Theor. Phys. 97, 722 (2003).
S. V. Sazonov and N. V. Ustinov, JETP Lett. 83, 483 (2006).
S. V. Sazonov, Pis’ma Zh. Eksp. Teor. Fiz. 102, 951 (2015).
R. Moshammer, W. Schmitt, J. Ullrich, H. Kollmus, A. Cassimi, R. Dörner, O. Jagutzki, R. Mann, R. E. Olson, H. T. Prinz, H. Schmidt-Böcking, and L. Spielberger, Phys. Rev. Lett. 79, 3621 (1997).
J. Eichler and W. E. Meyrhoft, Relativistic Atomic Collisions (Academic, New York, 1995).
F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
P. Pierre Agostini and L. F. DiMauro, Rep. Prog. Phys. 67, 813 (2004).
P. V. Corkit and F. Krausz, Nature Phys. 3, 381 (2007).
V. Astapenko, Interaction of Ulrashort Electomagnetic Pulses with Matter, Springer Briefs in Physics (Springer, Berlin, Heidelberg, 2013).
A. M. Zheltikov, Phys. Usp. 54, 29 (2011).
A. Lugovskoy and I. Bray, Phys. Rev. A 77, 023420 (2008).
M. Klaiber, D. Dimitrovski, and J. S. Briggs, Phys. Rev. A 79, 043402 (2009).
D. Dimitrovski, M. Ferre, and L. B. Madsen, Phys. Rev. A 80, 053412 (2009).
A. E. Kaplan, Laser. Eng. 24, 3 (2013).
G. Mourou, S. Mironov, E. Khazanov, and A. Sergeev, Eur. Phys. J. Spec. Top. 223, 1181 (2014).
V. I. Matveev, J. Exp. Theor. Phys. 97, 915 (2003).
J. C. Eilbeck, J. D. Gibbon, P. J. Caudrey, and R. K. Bullough, J. Phys. A.: Math. Nucl. Gen. 6, 1337 (1973).
P. G. Kryukov, Femtosecond Pulses (Fizmalit, Moscow, 2008) [in Russian].
D. N. Makarov and V. I. Matveev, J. Exp. Theor. Phys. 119, 600 (2014).
D. N. Makarov and V. I. Matveev, JETP Lett. 101, 154 (2015).
V. A. Astapenko, J. Exp. Theor. Phys. 112, 193 (2011).
A. J. Baltz, Phys. Rev. Lett. 78, 1231 (1997).
B. M. Karnakov, V. D. Mur, S. V. Popruzhenko, and V. S. Popov, Phys. Usp. 58, 3 (2015).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © D.N. Makarov, V.I. Matveev, 2016, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 103, No. 6, pp. 464–468.
Rights and permissions
About this article
Cite this article
Makarov, D.N., Matveev, V.I. Analytical solution of the Schrödinger equation in the sudden perturbation approximation for an atom by attosecond and shorter electromagnetic pulses. Jetp Lett. 103, 415–419 (2016). https://doi.org/10.1134/S0021364016060060
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364016060060