, Volume 52, Issue 5, pp 453–457 | Cite as

Partial quantum recurrence in free and quasibound systems

  • A. K. Sikri
  • M. L. Narchal
Research Articles


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.


Quantum chaos free system quasibound system 




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  1. [1]
    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. 93Google Scholar
  2. [2]
    S Fishman, D R Grempel and R E Prange,Phys. Rev. Lett. 49, 509 (1982)CrossRefADSMathSciNetGoogle Scholar
  3. [3]
    T Hogg and B A Huberman,Phys. Rev. A28, 22 (1983)ADSGoogle Scholar
  4. [4]
    J V Jose and R Cordery,Phys. Rev. Lett. 56, 290 (1986)CrossRefADSGoogle Scholar
  5. [5]
    G Casati, J Ford, I Guarneri and F Vivaldi,Phys. Rev. A34, 1413 (1986)ADSGoogle Scholar
  6. [6]
    B Milek and P Seba,Phys. Rev. A42, 3213 (1990)ADSMathSciNetGoogle Scholar
  7. [7]
    A K Sikri and M L Narchal,Phys. Rev. A47, 4605 (1993)ADSGoogle Scholar
  8. [8]
    J Bellissard, inTrends and developments in the eighties, edited by G Albeverio and Ph. Blanchard (World Scientific, Singapore, 1985)Google Scholar
  9. [9]
    M V Berry, N L Balazs, M Tabor and A Voros,Ann. Phys. (NY)122, 26 (1979)CrossRefADSMathSciNetGoogle Scholar
  10. [10]
    R Blumel, R Meir and U Smilansky,Phys. Lett. A103, 353 (1984)ADSMathSciNetGoogle Scholar
  11. [11]
    A Cohen and S Fishman,Int. J. Mod. Phys. B2, 103 (1988)ADSGoogle Scholar
  12. [12]
    E Eisenberg and N Shnerb,Phys. Rev. E49, R941 (1994)ADSGoogle Scholar
  13. [13]
    W H Louisell,Quantum statistical properties of radiation (John Wiley and Sons, 1973)Google Scholar

Copyright information

© Indian Academy of Sciences 1999

Authors and Affiliations

  • A. K. Sikri
    • 1
  • M. L. Narchal
    • 1
  1. 1.Department of PhysicsPunjabi UniversityPatialaIndia

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