Advertisement

Il Nuovo Cimento D

, Volume 3, Issue 5, pp 917–935 | Cite as

Two-photon ionization by perturbation theory of a simple molecular model

  • N. Durante
  • G. P. Arrighini
  • C. Guidotti
Article
Received:

Summary

The two-photon ionization probability of a simple model of diatomic molecule has been exactly evaluated under the assumption that a perturbative treatment is valid. The model consists of a simple electron in one-dimensional motion in the field of two fixed Dirac delta wells. The exact results are compared with a number of approximations arising from simplifications introduced at the level of final state and/or the intermediate states involved in the evaluation of the relevant ionization amplitude.

PACS. 33.80

Molecular photon processes 

Riassunto

È stata calcolata la probabilità di ionizzazione per assorbimento di due fotoni in un semplice modello di molecola biatomica omonucleare in condizioni nelle quali si può supporre valida una trattazione perturbativa. Il modello considerato consiste di un elettrone vincolato a muoversi di moto monodimensionale nel campo di due buche attrattive tipo delta di Dirac. Risultati esatti per il modello sono confrontati con approssimazioni ottenute semplificando la struttura dello stato finale dell'elettrone ionizzato e/o quella degli stati intermedi necessari per il calcolo dell'ampiezza di ionizzazione a due fotoni.

Резюме

В рамках применимости теории возмущений оценивается вероятность двух-фотонной ионизации в простой модели двухатомной молекулы. Модель состоит из электрона, участвующего в одно-мерном движении в поле двух фиксированных потенциальных ям в виде дельта-функций Дирака. Точные результаты сравниваются с рядом приближений, получающихся из упрощений, вводимых на уровне конечного состояния и/или промежуточных состояний, необходимых для вычисления соответствующей амплитуды двух-фотонной ионизации.

This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    J. S. Bakos:Adv. Electron. Electron Phys.,36, 57 (1974).Google Scholar
  2. (2).
    N. B. Delone:Sov. Phys. Usp.,18, 169 (1975).CrossRefADSGoogle Scholar
  3. (3).
    P. Lambropoulos:Adv. At. Mol. Phys.,12, 87 (1976).CrossRefGoogle Scholar
  4. (4).
    J. E. Bayfield:Phys. Rep.,51, 317 (1979).CrossRefADSGoogle Scholar
  5. (5).
    F. Ehlotzky:Can. J. Phys.,59, 1200 (1981).MATHMathSciNetGoogle Scholar
  6. (6).
    M. Shapiro andR. Bersohn:Ann. Rev. Phys. Chem.,33, 409 (1982).CrossRefGoogle Scholar
  7. (7).
    J. Morellec, D. Normand andG. Petite:Adv. At. Mol. Phys.,18, 98 (1982).Google Scholar
  8. (8).
    F. V. Bunkin andA. M. Prokhorov:Sov. Phys. JETP,19, 739 (1964).Google Scholar
  9. (9).
    F. V. Bunkin andI. I. Tugov:Phys. Rev. A,8, 601, 612 (1973).CrossRefADSGoogle Scholar
  10. (10).
    A. A. Frost:J. Chem. Phys.,22, 1613 (1954);25, 1150 (1956).ADSGoogle Scholar
  11. (11).
    E. R. Lippincott:J. Chem. Phys.,26, 1678 (1957).CrossRefADSGoogle Scholar
  12. (12).
    J. T. Vanderslice, E. A. Mason andE. R. Lippincott:J. Chem. Phys.,30, 129 (1959).CrossRefADSGoogle Scholar
  13. (13).
    F. Biondi andG. P. Arrighini:Nuovo Cimento D,1, 597 (1982).ADSGoogle Scholar
  14. (14).
    C. Guidotti, F. Biondi, N. Durante andG. P. Arrighini:Nuovo Cimento D,2, 1097 (1983).ADSGoogle Scholar
  15. (15).
    G. P. Arrighini, N. Durante andC. Guidotti:Collisions and Half-Collisions with Lasers, edited byN. K. Rahman andC. Guidotti (Chur, London, New York, N.Y., 1984).Google Scholar
  16. (16).
    A. Lami andN. K. Rahman:Chem. Phys. Lett.,68, 324 (1979).CrossRefADSGoogle Scholar
  17. (17).
    A. Dalgarno andJ. T. Lewis:Proc. R. Soc. London, Ser. A,233, 70 (1955).MATHMathSciNetADSCrossRefGoogle Scholar
  18. (18).
    C. Schwartz andJ. I. Tiemann:Ann. Phys. (N. Y.),6, 178 (1959).MATHCrossRefADSGoogle Scholar
  19. (19).
    Y. Gontier andM. Trahin:Phys. Rev.,172, 83 (1968).CrossRefADSGoogle Scholar
  20. (20).
    Y. Gontier andM. Trahin:Phys. Rev. A,4, 1896 (1971).CrossRefADSGoogle Scholar
  21. (21).
    Y. Gontier, N. K. Rahman andM. Trahin:Phys. Rev. A,24, 3102 (1981).CrossRefADSGoogle Scholar
  22. (22).
    H. J. Lipkin:Quantum Mechanics, New Approaches to Selected Topics (Amsterdam, 1973).Google Scholar
  23. (23).
    E. N. Economou:Green's Functions in Quantum Physics (Berlin, Heidelberg, New York, N.Y., 1979).Google Scholar
  24. (24).
    S. Geltman:Phys. Lett.,4, 168 (1963).CrossRefADSGoogle Scholar
  25. (25).
    W. Zernick andR. W. Klopfenstein:J. Math. Phys. (N. Y.),6, 262 (1965).CrossRefADSGoogle Scholar
  26. (26).
    S. Klarsfeld:Lett. Nuovo Cimento,3, 395 (1970).CrossRefGoogle Scholar
  27. (27).
    E. Karule:J. Phys. B,11, 441 (1978).CrossRefADSGoogle Scholar
  28. (28).
    S. Klarsfeld andA. Maquet:Phys. Lett. A,73, 100 (1979).CrossRefADSGoogle Scholar
  29. (29).
    S. Klarsfeld andA. Maquet:J. Phys. B,12, 553 (1979).CrossRefADSGoogle Scholar
  30. (30).
    M. Aymar andM. Crance:J. Phys. B,13, 2527 (1980).CrossRefADSGoogle Scholar
  31. (31).
    J. W. Cooper:Phys. Rev.,128, 681 (1962).CrossRefADSGoogle Scholar
  32. (32).
    J. Berkowitz:Photoabsorption, Photoionization and Photoelectron Spectroscopy (London, New York, N.Y., 1979).Google Scholar
  33. (33).
    K. Gottfried:Quantum Mechanics, Vol.1 (London, Amsterdam, Don Mills, Sydney, Tokyo, 1996).Google Scholar

Copyright information

© Società Italiana di Fisica 1984

Authors and Affiliations

  • N. Durante
    • 1
  • G. P. Arrighini
    • 1
  • C. Guidotti
    • 1
    • 2
  1. 1.Istituto di Chimica Fisica dell'UniversitàPisaItalia
  2. 2.Istituto di Chimica Quantistica ed Energetica Molecolare del C.N.R.PisaItalia

Personalised recommendations