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Nonlinear Schrödinger Equations and the Separation Property

1995
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Journal of Nonlinear Mathematical Physics
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We investigate hierarchies of nonlinear Schrödinger equations for multiparticle systems satisfying the separation property, i.e., where product wave functions evolve by the separate evolution of each factor. Such a hierarchy defines a nonlinear derivation on tensor products of the single-particle wave-function space, and satisfies a certain homogeneity property characterized by two new universal physical constants. A canonical construction of hierarchies is derived that allows the introduction,

doi:10.2991/jnmp.1995.2.2.3
fatcat:7xka4b6uqzbydblllru5wrv7xy