Quantum-mechanical model for ultrahigh-order harmonic generation in the moderately relativistic regime

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 63, Issue 1, 2001, Pages 1-4

  Milošević, Dejan B ^a   Hu, Suxing ^b   Becker, Wilhelm ^b,c  

^a UNIVERSITY OF SARAJEVO   (Bosnia and Herzegovina)

^b MAX BORN INSTITUT   (Germany)

^c UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344366184     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.63.011403     Document Type: Article

References (24)

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15. F(x′). For harmonic emission in the direction of the driving laser field, the integration over x can be carried out exactly. This yields the relativistic analogue of the zero-range-potential approach [7]. It does contain the so-called continuum-continuum (c-c) term [6] while the form (7) does not. The c-c term is small in the nonrelativistic regime [cf. W. Becker et al., Phys. Rev. A 56, 645 (1997)], but this may not be so in the strongly relativistic case.
16. This may be shown by solving the classical Hamilton-Jacobi equation for the principal Hamilton function; see Appendix C of L. S. Brown and T. W. B. Kibble, Phys. Rev. 133, A705 (1964); or J. H. Eberly, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1969), Vol. 7; E. S. Sarachik and G. T. Schappert, Phys. Rev. D 1, 2738 (1970); Y. I. Salamin and F. H. M. Faisal, Phys. Rev. A 54, 4383 (1996); 55, 3678 (1997).
17. This may be shown by solving the classical Hamilton-Jacobi equation for the principal Hamilton function; see Appendix C of L. S. Brown and T. W. B. Kibble, Phys. Rev. 133, A705 (1964); or J. H. Eberly, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1969), Vol. 7; E. S. Sarachik and G. T. Schappert, Phys. Rev. D 1, 2738 (1970); Y. I. Salamin and F. H. M. Faisal, Phys. Rev. A 54, 4383 (1996); 55, 3678 (1997).
18. This may be shown by solving the classical Hamilton-Jacobi equation for the principal Hamilton function; see Appendix C of L. S. Brown and T. W. B. Kibble, Phys. Rev. 133, A705 (1964); or J. H. Eberly, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1969), Vol. 7; E. S. Sarachik and G. T. Schappert, Phys. Rev. D 1, 2738 (1970); Y. I. Salamin and F. H. M. Faisal, Phys. Rev. A 54, 4383 (1996); 55, 3678 (1997).
19. This may be shown by solving the classical Hamilton-Jacobi equation for the principal Hamilton function; see Appendix C of L. S. Brown and T. W. B. Kibble, Phys. Rev. 133, A705 (1964); or J. H. Eberly, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1969), Vol. 7; E. S. Sarachik and G. T. Schappert, Phys. Rev. D 1, 2738 (1970); Y. I. Salamin and F. H. M. Faisal, Phys. Rev. A 54, 4383 (1996); 55, 3678 (1997).
20. This may be shown by solving the classical Hamilton-Jacobi equation for the principal Hamilton function; see Appendix C of L. S. Brown and T. W. B. Kibble, Phys. Rev. 133, A705 (1964); or J. H. Eberly, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1969), Vol. 7; E. S. Sarachik and G. T. Schappert, Phys. Rev. D 1, 2738 (1970); Y. I. Salamin and F. H. M. Faisal, Phys. Rev. A 54, 4383 (1996); 55, 3678 (1997).
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