Abstract
Details of the revival structure arising from the different time scales, underlying the quadratic energy spectrum, are investigated using the binomial distribution of the weighting probabilities involved in the autocorrelation function. Exact analytical expressions are derived to explain the dependence of the autocorrelation function on the number of discrete energy levels appearing in the Morse potential. The perfect revival time is determined for this potential.
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References
A.H. Zewail, Femtochemistry (World Scientific, Singapore, 1994)
L.D. Landau, E.M. Lifshitz, Quantum Mechanics (Pergamon Press, New York, 1977)
P. Bocchieri, A. Loinger, Phys. Rev. 107, 337 (1957)
ISh Averbukh, N.F. Perelman, Uspekhi Fiz. Nauk 161, 41 (1991)
ISh Averbukh, N.F. Perelman, Sov. Phys. Uspekhi 34, 572 (1991)
R. Bluhm, V.A. Kostelesky, J.A. Porter, Am. J. Phys. 64, 944 (1996)
R.W. Robinett, Phys. Rep. 392, 1 (2004)
K. Ohmori, Annu. Rev. Phys. Chem. 60, 487 (2009)
ISh Averbukh, N.F. Perelman, Phys. Lett. A 139, 449 (1989)
ISh Averbukh, N.F. Perelman, Zh. Eksp. Teor. Fiz. 96, 818 (1989)
ISh Averbukh, N.F. Perelman, Sov. Phys. JETP 69, 464 (1990)
J. Parker, C.R. Stroud, Phys. Rev. Lett. 56, 716 (1986)
G. Alber, H. Ritsch, P. Zoller, Phys. Rev. A 34, 1058 (1986)
D.M. Meekhof, C. Monroe, B.E. King, W.M. Itano, D.J. Wineland, Phys. Rev. Lett. 76, 1796 (1996)
K. Leo, J. Shah, E.O. Gobel, Phys. Rev. Lett. 66, 201 (1991)
B.M. Garraway, K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995)
H.I. Yoo, J.H. Eberly, Phys. Rep. 118, 239 (1985)
M. Leibscher, ISh Averbukh, Phys. Rev. A 63, 043407 (2001)
M. Nauenberg, J. Phys. B 23, L385 (1990)
S.I. Vetchinkin, A.S. Vetchinkin, V.V. Eryomin, I.M. Umanskii, Chem. Phys. Lett. 215, 11 (1993)
V.V. Eryomin, S.I. Vetchinkin, I.M. Umanskii, J. Chem. Phys. 101, 10730 (1994)
C. Leichtle, ISh Averbukh, W.P. Schleich, Phys. Rev. A 54, 5299 (1996)
D. Ambrosek, C.A. Chatzidimitriou-Dreismann, P. Krause, J. Manz, H. Naumann, C. van Wüllen, Chem. Phys. 302, 229 (2004)
Z. Wang, E.J. Heller, J. Phys. A 42, 285304 (2009)
S. Flügge, Practical Quantum Mechanics (Springer, New York, 1974)
E.F. de Lima, J.E.M. Hornos, J. Chem. Phys. 125, 164110 (2006)
W. Feller, An Introduction To Probability Theory And Its Applications (John Wiley, New York, 1971)
J. Dufayard, B. Majoumat, O. Nedelec, Chem. Phys. 128, 537 (1988)
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Strekalov, M.L. Revival features in wave packet dynamics of a particle confined in a Morse potential: the binomial distribution. J Math Chem 54, 1134–1145 (2016). https://doi.org/10.1007/s10910-016-0612-0
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DOI: https://doi.org/10.1007/s10910-016-0612-0