Abstract
The quantum motion of a periodically two-sided kicked free particle is studied under various boundary conditions. The quasienergies, quasistates and the energy of the system are determined exactly. It is found that the energy of the system recurs irrespective of boundary conditions whereas the wave function shows recurrence only for a completely bound particle.
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G Casati, B V Chirikov, F M Izrailev and J Ford,Stocliastic behaviour in classical and quantum Hamiltonian systems, edited by G Casati and J Ford, Lecture Notes in Physics (Springer-Berlin, 1979) Vol. 93
S Fishman, D R Grempel and R E Prange,Phys. Rev. Lett. 49, 509 (1982)
T Hogg and B A Huberman,Phys. Rev. A28, 22 (1983)
J V Jose and R Cordery,Phys. Rev. Lett. 56, 290 (1986)
G Casati, J Ford, I Guarneri and F Vivaldi,Phys. Rev. A34, 1413 (1986)
B Milek and P Seba,Phys. Rev. A42, 3213 (1990)
A K Sikri and M L Narchal,Phys. Rev. A47, 4605 (1993)
J Bellissard, inTrends and developments in the eighties, edited by G Albeverio and Ph. Blanchard (World Scientific, Singapore, 1985)
M V Berry, N L Balazs, M Tabor and A Voros,Ann. Phys. (NY)122, 26 (1979)
R Blumel, R Meir and U Smilansky,Phys. Lett. A103, 353 (1984)
A Cohen and S Fishman,Int. J. Mod. Phys. B2, 103 (1988)
E Eisenberg and N Shnerb,Phys. Rev. E49, R941 (1994)
W H Louisell,Quantum statistical properties of radiation (John Wiley and Sons, 1973)
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Sikri, A.K., Narchal, M.L. Partial quantum recurrence in free and quasibound systems. Pramana - J Phys 52, 453–457 (1999). https://doi.org/10.1007/BF02830092
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DOI: https://doi.org/10.1007/BF02830092