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
Articolo in rivista - Articolo scientifico
hilbert, space, realisation, linear, quantum, mechanics, classical, extension, counterpart
English
621
640
20
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/20511
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