This paper studies the state-effect-probability structure associated with the quantum mechanics of nonlinear (homogeneous, in general nonadditive) operators on a Hilbert space. Its aim is twofold: to provide a concrete representation of the features of nonlinear quantum mechanics on a Hilbert space, and to show that the properties of the nonlinear version of quantum mechanics here described have the structure of a classical logic
Cattaneo, G., Del Seta, M. (2000). A Hilbert space realisation of non-linear quantum mechanics as classical extension of its linear counterpart. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 39(3), 621-640 [10.1023/A:1003685620562].
A Hilbert space realisation of non-linear quantum mechanics as classical extension of its linear counterpart
CATTANEO, GIANPIERO;
2000
Abstract
This paper studies the state-effect-probability structure associated with the quantum mechanics of nonlinear (homogeneous, in general nonadditive) operators on a Hilbert space. Its aim is twofold: to provide a concrete representation of the features of nonlinear quantum mechanics on a Hilbert space, and to show that the properties of the nonlinear version of quantum mechanics here described have the structure of a classical logic
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