Journal
PHYSICS LETTERS A
Volume 376, Issue 26-27, Pages 1955-1961Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2012.05.007
Keywords
Measures of information theory; Non-linear quantum dynamics; Geometry of quantum mechanics
Categories
Funding
- Malaysian Ministry of Higher Education (MOHE)
- Fundamental Research Grant Scheme (FRGS) [5523927]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available