User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Norm of the Wave-function On a Complex Basis

Primary tabs

Piraux, Bernard [UCL] Shakeshaft, R.

When the wave function of a system which breaks up is represented on a complex basis, the norm of the wave function, if evaluated as a direct sum over the basis, remains unity only for as long as the continuum is not significantly populated. However, we show that if the norm is evaluated by Pade summation, it remains unity until one of the fragments leaves the region spanned by the basis; subsequently the norm drops to a value that is simply the probability for the system not to break up, i.e., to remain intact. The probability for breakup into a particular channel must be calculated before the ''critical'' time at which the norm drops. These remarks, and others, are illustrated numerically for the case of a hydrogen atom that is photoionized by a short pulse of light.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1994
Language Anglais
Journal information "Physical review. A, Atomic, molecular, and optical physics" - Vol. 49, no. 5, p. 3903-3908 (1994)
Peer reviewed yes
Publisher American Physical Soc (College Pk)
issn 1050-2947
e-issn 1094-1622
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Links
  1. Wilets L., Gallaher D. F., Coupled-State Calculations ofH+-H Scattering, 10.1103/physrev.147.13
  2. Winter Thomas G., Sturmian treatment of excitation and ionization in high-energy proton-helium collisions, 10.1103/physreva.43.4727
  3. Casati G., Guarneri I., Shepelyansky D.L., Hydrogen atom in monochromatic field: chaos and dynamical photonic localization, 10.1109/3.982
  4. Reinhardt W P, Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics, 10.1146/annurev.pc.33.100182.001255
  5. Parker Steven D., McCurdy C.William, Propagation of wave packets using the complex basis function method, 10.1016/s0009-2614(89)87316-6
  6. M. Pont, Phys. Rev. A, 44, 4486 (1991)
  7. C. M. Bender, Advanced Mathematical Methods for Scientists and Engineers (1978)
  8. Weniger E. Joachim, Weakly convergent expansions of a plane wave and their use in Fourier integrals, 10.1063/1.526970
  9. Klarsfeld S., Maquet A., Padé-sturmian approach to multiphoton ionization in hydrogenlike atoms, 10.1016/0375-9601(80)90801-4
  10. Pont Marcel, Proulx Daniel, Shakeshaft Robin, Numerical integration of the time-dependent Schrödinger equation for an atom in a radiation field, 10.1103/physreva.44.4486
  11. Potvliege R. M., Shakeshaft Robin, Multiphoton processes in an intense laser field: Harmonic generation and total ionization rates for atomic hydrogen, 10.1103/physreva.40.3061
  12. Bugacov Alejandro, Pont Marcel, Shakeshaft Robin, Possibility of breakdown of atomic stabilization in an intense high-frequency field, 10.1103/physreva.48.r4027
  13. Jones R. R., You D., Bucksbaum P. H., Ionization of Rydberg atoms by subpicosecond half-cycle electromagnetic pulses, 10.1103/physrevlett.70.1236
Bibliographic reference Piraux, Bernard ; Shakeshaft, R.. Norm of the Wave-function On a Complex Basis. In: Physical review. A, Atomic, molecular, and optical physics, Vol. 49, no. 5, p. 3903-3908 (1994)
Permanent URL http://hdl.handle.net/2078.1/48959