期刊
PHYSICS LETTERS A
卷 376, 期 26-27, 页码 1955-1961出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2012.05.007
关键词
Measures of information theory; Non-linear quantum dynamics; Geometry of quantum mechanics
资金
- Malaysian Ministry of Higher Education (MOHE)
- Fundamental Research Grant Scheme (FRGS) [5523927]
Using the statistical inference method, a non-relativistic, spinless, non-linear quantum dynamical equation is derived with the Fisher information metric substituted by the Jensen-Shannon distance information. Among all possible implications, it is shown that the non-linear Schrodinger equation preserves the symplectic structure of the complex Hilbert space, hence a Hamiltonian dynamics. The canonically projected dynamics is obtained on the corresponding projective Hilbert space of pure state density operators. (C) 2012 Elsevier B.V. All rights reserved.
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