There's more than one way to skin Schrödinger's cat

V. Z. Enol'skii, M. Salerno, Alwyn C. Scott, J. C. Eilbeck

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)


Two methods for studying quantum discrete dynamical systes (i.e. with a finite or countably infinite number of degrees of freedom) are described and compared for: (i) The discrete self-trapping (DST) equation, (ii) The Ablowitz-Ladik (AL) equation, and (iii) A fermionic polaron (FP) model. The first method, called the quantum inverse scattering method (QISM), emphasizes the relationship between the quantum theory and classical integrability The second method, which we call the number state method (NSM), cam be extended to systems that are not classically integrable. Thus the two methods are not equivalent. © 1992.

Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalPhysica D: Nonlinear Phenomena
Issue number1-3
Publication statusPublished - 1 Oct 1992


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