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

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

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

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

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Abstract

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 language	English
Pages (from-to)	1-24
Number of pages	24
Journal	Physica D: Nonlinear Phenomena
Volume	59
Issue number	1-3
Publication status	Published - 1 Oct 1992

Cite this

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abstract = "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. {\textcopyright} 1992.",

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AU - Enol'skii, V. Z.

AU - Salerno, M.

AU - Scott, Alwyn C.

AU - Eilbeck, J. C.

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N2 - 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.

AB - 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.

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JF - Physica D: Nonlinear Phenomena

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ER -

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

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