Scaled-energy Floquet spectroscopy in a strong electric field: A semiquantal calculation of the recurrence spectrum

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 6, 1998, Pages 4604-4615

  Kondratovich, Vladimir ^a   Delos, John B ^a  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION SPECTROSCOPY; APPROXIMATION THEORY; ATOMS; ELECTRIC FIELD EFFECTS; ELECTRON TRANSITIONS; ELECTRONIC DENSITY OF STATES; FOURIER TRANSFORMS; HYDROGEN; LITHIUM; QUANTUM THEORY;

FLOQUET SPECTROSCOPY; PHOTOABSORPTION SPECTROSCOPY; QUANTUM ADIABATIC APPROXIMATION; QUASIENERGY STATE;

PHOTOELECTRON SPECTROSCOPY;

EID: 0032095483     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.4604     Document Type: Article

References (13)

1. N. Spellmeyer, D. Kleppner, M. R. Haggerty, V. Kondratovich, J. B. Delos, and J. Gao, Phys. Rev. Lett. 79, 1650 (1997).PRLTAO
2. Y. Zhang, M. Ciocca, L.-W. He, C. E. Burkhardt, and J. J. Leventhal, Phys. Rev. A 50, 1101 (1994).PLRAAN
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4. M. L. Du and J. B. Delos, Phys. Rev. A 38, 1896 (1988); PLRAAN
5. Phys. Rev. AM. L. DuJ. B. Delos38, 1913 (1988).
6. The reader can find a review of WKB methods as they apply to the quantization in strong electric field by C. W. Clark, K. T. Lu, and A. F. Starace, in Progress in Atomic Spectroscopy, edited by H. J. Beyer and H. Kleinpoppen (Plenum Press, New York, 1984), Part C, Chap. 7.
7. V. Kondratovich and J. B. Delos, Phys. Rev. A 56, R5 (1997).PLRAAN
8. F. Olver, in Handbook of Mathematical Functions, Natl. Bur. Stand. Appl. Math. Ser. No. 55, edited by M. Abramowitz and I. Stegun (U.S. GPO, Washington, D.C., 1964).
9. N. Spellmeyer and D. Kleppner (private communication).
10. N. Spellmeyer (personal communication)tells us that such a shift is credible. There is an uncertainty of about 10 mV/cm in the electric field in experiment, and a stray electric field with a similar size. At (Formula presented) a 20-mV/cm uncertainty gives an uncertainty in position of a resonance on the (Formula presented)axis of 0.08.
11. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-relativistic Theory, 3rd ed. (Pergamon Press, Oxford, New York, 1977).
12. For the experimental conditions in 1, we have (Formula presented) (Formula presented) trajectories with larger (Formula presented) go over the barrier. Therefore we find that the scaled spectrum is nearly periodic. (In the case we consider, the spacing of levels in (Formula presented) is uniform to about one part in (Formula presented) while the spacing in (Formula presented) is uniform to a few percent.)
13. As a general rule, a semiquantal treatment like the one used here should be more accurate than a semiclassical treatment such as closed-orbit theory. However, in the present case, we have made a number of additional approximations to arrive at Eq. (4.20), the most important of which is an adiabatic approximation. The closed-orbit formulation that led to Eq. (4.24) did not use an adiabatic approximation, so we believe Eq. (4.24) to be, in principle, more general and more accurate than Eq. (4.20).