Generalized Sturmians in the time-dependent frame: effect of a fullerene confining potential

  • Ana Laura Frapiccini
  • Gustavo Gasaneo
  • Dario M. Mitnik
Regular Article

Abstract

In this work we present a novel implementation of the Generalized Sturmian Functions in the time-dependent frame to numerically solve the time-dependent Schrödinger equation. We study the effect of the confinement of H atom in a fullerene cage for the 1s → 2p resonant transition of the atom interacting with a finite laser pulse, calculating the population of bound states and spectral density.

Graphical abstract

Keywords

Atomic Physics 

References

  1. 1.
    V.K. Dolmatov, Photoionization of Atoms Encaged in Spherical Fullerenes, Vol. 58 of Advances in Quantum Chemistry (Academic Press, 2009)Google Scholar
  2. 2.
    V.K. Dolmatov, A.S. Baltenkov, J.P. Connerade, S.T. Manson, Radiat. Phys. Chem. 70, 417 (2004)ADSCrossRefGoogle Scholar
  3. 3.
    J.P. Connerade, The Fourth International Symposium “Atomic Cluster Collisions: Structure and Dynamics from the Nuclear to the Biological Scale”(ISACC 2009), Vol. 1157 of AIP Conference Proceedings (2009)Google Scholar
  4. 4.
    Y. Zhao, Y.H. Kim, A.C. Dillon, M.J. Heben, S.B. Zhang, Phys. Rev. Lett. 94, 155504 (2005)ADSCrossRefGoogle Scholar
  5. 5.
    C. Ju, D. Suter, J. Du, Phys. Rev. A 75, 012318 (2007)ADSCrossRefGoogle Scholar
  6. 6.
    W. Harneit, K. Huebener, B. Naydenov, S. Schaefer, M. Scheloske, Phys. Status Solidi B 244, 3879 (2007)ADSCrossRefGoogle Scholar
  7. 7.
    R.B. Ross, C.M. Cardona, D.M. Guldi, S.G. Sankaranarayanan, M.O. Reese, N. Kopidakis, J. Peet, B. Walker, G.C. Bazan, E.E.A. van Keuren, Nat. Mater. 8, 208 (2009)ADSCrossRefGoogle Scholar
  8. 8.
    A. Strózecka, K. Muthukumar, A. Dybek, T.J. Dennis, J.A. Larsson, J. Mysliveček, B. Voigtlönder, Appl. Phys. Lett. 95, 133118 (2009)ADSCrossRefGoogle Scholar
  9. 9.
    R. Hatakeyama, Y.F. Li, T.Y. Kato, T. Kaneko, Appl. Phys. Lett. 97, 013104 (2010)ADSCrossRefGoogle Scholar
  10. 10.
    G.P. Zhang, D.A. Strubbe, S.G. Louie, T.F. George, Phys. Rev. A 84, 023837 (2011)ADSCrossRefGoogle Scholar
  11. 11.
    P.V. Redkin, M.B. Danailov, R.A. Ganeev, Phys. Rev. A 84, 013407 (2011)ADSCrossRefGoogle Scholar
  12. 12.
    V.K. Dolmatov,, S.T. Manson, Phys. Rev. A 73, 013201 (2006)ADSCrossRefGoogle Scholar
  13. 13.
    M.Y. Amusia, A.S. Baltenkov, U. Becker, Phys. Rev. A 62, 012701 (2000)ADSCrossRefGoogle Scholar
  14. 14.
    M.Y. Amusia, A.S. Baltenkov, Phys. Rev. A 73, 062723 (2006)ADSCrossRefGoogle Scholar
  15. 15.
    J.A. Ludlow, T.G. Lee, M.S. Pindzola, Phys. Rev. A 81, 023407 (2010)ADSCrossRefGoogle Scholar
  16. 16.
    T. Lee, J.A. Ludlow, M.S. Pindzola, J. Phys. B 45, 135202 (2012)ADSCrossRefGoogle Scholar
  17. 17.
    T.W. Gorczyca, M.F. Hasoglu, S.T. Manson, Phys. Rev. A 86, 033204 (2012)ADSCrossRefGoogle Scholar
  18. 18.
    A.N. Grum-Grzhimailo, E.V. Gryzlova, S.I. Strakhova, J. Phys. B 44, 235005 (2011)ADSCrossRefGoogle Scholar
  19. 19.
    G. Gasaneo, L.U. Ancarani, D.M. Mitnik, J.M. Randazzo, A.L. Frapiccini, F.D. Colavecchia, Proceedings of MEST 2012: Exponential Type Orbitals for Molecular Electronic Structure Theory, Vol. 67 of Advances in Quantum Chemistry (Academic Press, 2013)Google Scholar
  20. 20.
    A. Palacios, C.W. McCurdy, T.N. Rescigno, Phys. Rev. A 76, 043420 (2007)ADSCrossRefGoogle Scholar
  21. 21.
    Y. Saad, SIAM J. Numer. Anal. 29, 209 (1992)MathSciNetCrossRefGoogle Scholar
  22. 22.
    A.L. Frapiccini, A. Hamido, S. Schröter, D. Pyke, F. Mota-Furtado, P.F. O’Mahony, J. Madronero, J. Eiglsperger, B. Piraux, Phys. Rev. A 89, 023418 (2014)ADSCrossRefGoogle Scholar
  23. 23.
    A.L. Frapiccini, V.Y. Gonzalez, J.M. Randazzo, F.D. Colavecchia, G. Gasaneo, Int. J. Quantum Chem. 107, 832 (2007)ADSCrossRefGoogle Scholar
  24. 24.
    E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, D. Sorensen, LAPACK Users’ Guide, 3rd edn. (Society for Industrial and Applied Mathematics, Philadelphia, PA, 1999)Google Scholar
  25. 25.
    J.M. Randazzo, F. Buezas, A.L. Frapiccini, F.D. Colavecchia, G. Gasaneo, Phys. Rev. A 84, 052715 (2011)ADSCrossRefGoogle Scholar
  26. 26.
    D.M. Mitnik, J. Randazzo, G. Gasaneo, Phys. Rev. A 78, 062501 (2008)ADSCrossRefGoogle Scholar
  27. 27.
    Y.B. Xu, M.Q. Tan, U. Becker, Phys. Rev. Lett. 76, 3538 (1996)ADSCrossRefGoogle Scholar
  28. 28.
    J.P. Connerade, V.K. Dolmatov, P.A. Lakshmi, S.T. Manson, J. Phys. B 32, L239 (1999)ADSCrossRefGoogle Scholar
  29. 29.
    A.S. Baltenkov, U. Becker, S.T. Manson, A.Z. Msezane, J. Phys. B 43, 115102 (2010)ADSCrossRefGoogle Scholar
  30. 30.
    J.P. Connerade, A.V. Solov’yov, J. Phys. B 38, 807 (2005)ADSCrossRefGoogle Scholar
  31. 31.
    S. Autler, C. Townes, Phys. Rev. 100, 703 (1955)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Ana Laura Frapiccini
    • 1
  • Gustavo Gasaneo
    • 1
  • Dario M. Mitnik
    • 2
  1. 1.IFISUR, Universidad Nacional del Sur, CONICET, Departamento de Física – UNSBahía BlancaArgentina
  2. 2.IAFE, (UBA – CONICET), C1428EGA Buenos AiresArgentina

Personalised recommendations