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Propagator of a time-dependent unbound quadratic Hamiltonian system

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Il Nuovo Cimento B (1971-1996)

Summary

The propagator for a time-dependent unbound quadratic Hamiltonian system is explicitly evaluated using the path integral method. Two time-invariant quantities of the system are found where these invariants determine whether or not the system is bound. Several examples are considered to illustrate that the propagator obtained for the unbound systems is correct.

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Authors and Affiliations

  1. Department of Physics, Chungbuk National University, 360-763, Cheongju, Chungbuk, Korea

    K. H. Yeon & H. J. Kim

  2. Department of Physics, College of Science, Korea University, 136-701, Seoul, Korea

    C. I. Um

  3. Office of the Chancellor, Departments of Chemistry and Physics & Astronomy, University of Wisconsin-Stevens Point, 54481-3897, Stevens Point, WI, USA

    T. F. George

  4. Departments of Chemistry and Physics, Washington State University, 99164-2814, Pullman, WA, USA

    L. N. Pandey

Authors
  1. K. H. Yeon
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  2. H. J. Kim
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  3. C. I. Um
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  4. T. F. George
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  5. L. N. Pandey
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Yeon, K.H., Kim, H.J., Um, C.I. et al. Propagator of a time-dependent unbound quadratic Hamiltonian system. Nuov Cim B 111, 963–971 (1996). https://doi.org/10.1007/BF02743292

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  • DOI: https://doi.org/10.1007/BF02743292

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