Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions

Saburov, Mansoor (2014) Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions. Journal of Physics: Conference Series, 553 (1). pp. 1-11. ISSN 1742-6588 E-ISSN 1742-6596

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Abstract

A mathematical formalism of quantum mechanics says that a pure state of a quantum system corresponds to a vector of norm 1 and an observable is a self-adjoint operator on the space of states. It is of interest to describe all linear or nonlinear operators which preserve the pure states of the system. In the linear case, it is nothing more than isometries of Hilbert spaces. In the nonlinear case, this problem was open. In this paper, in the small dimensional spaces, we shall describe all quadratic plus linear operators which preserve pure states of the quantum system.

Item Type:	Article (Journal)
Additional Information:	6769/39452
Uncontrolled Keywords:	Quadratic Plus Linear Operators
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	02 Dec 2014 16:00
Last Modified:	20 Sep 2017 16:42
URI:	http://irep.iium.edu.my/id/eprint/39452

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