A Hilbert space realization of nonlinear quantum mechanics as classical extension of its linear counterpart

被引:2
|
作者
Del Seta, M [1 ]
Cattaneo, G
机构
[1] Calif State Univ Los Angeles, Dept Philosophy, Chico, CA 95929 USA
[2] Univ London London Sch Econ & Polit Sci, CPNSS, London, England
[3] Univ Milan, Dipartimento Informat Sistemi & Comunicazione, I-20126 Milan, Italy
关键词
D O I
10.1023/A:1003685620562
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:621 / 640
页数:20
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