Transition times in the Landau-Zener model

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 2, 1999, Pages 988-994

  Vitanov, N V ^a  

^a UNIVERSITY OF HELSINKI   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001477974     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.988     Document Type: Article

References (13)

1. L. D. Landau, Phys. Z. Sowjetunion 2, 46 (1932).
2. C. Zener, Proc. R. Soc. London, Ser. A 137, 696 (1932).
3. K. Mullen, E. Ben-Jacob, Y. Gefen, and Z. Schuss, Phys. Rev. Lett. 62, 2543 (1989).
4. N. V. Vitanov and B. M. Garraway, Phys. Rev. A 53, 4288 (1996)
5. Phys. Rev. AN. V. VitanovB. M. Garraway54, 5458(E) (1996).
6. B. W. Shore, The Theory of Coherent Atomic Excitation, (Wiley, New York, 1990), Vol. I.
7. R. Lim and M. V. Berry, J. Phys. A 24, 3255 (1991).
8. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. II.
9. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1964).
10. K. M. Abadir, J. Phys. A 26, 4059 (1993).
11. This behavior can be deduced more rigorously from Eqs. (9) and (11a), which show that for (Formula presented) (Formula presented) and from Eqs. (11b), (11c), and (13b), which give (Formula presented) and (Formula presented) which indicates a maximum of (Formula presented) near (Formula presented)
12. F. W. J. Olver, J. Res. Natl. Bur. Stand., Sect. B 63B, 131 (1959).
13. M. V. Berry, Proc. R. Soc. London, Ser. A 429, 61 (1990).