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

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

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...

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Main Author: Saburov, Mansoor
Format: Article
Language:English
English
Published: Institute of Physics Publishing (UK) 2014
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/39452/
http://irep.iium.edu.my/39452/
http://irep.iium.edu.my/39452/
http://irep.iium.edu.my/39452/1/39452_Quadratic%20plus%20linear%20operators.pdf
http://irep.iium.edu.my/39452/2/39452_Quadratic%20plus%20linear%20operators_SCOPUS.pdf
id iium-39452
recordtype eprints
spelling iium-394522017-09-20T08:42:26Z http://irep.iium.edu.my/39452/ Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions Saburov, Mansoor QA Mathematics 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. Institute of Physics Publishing (UK) 2014-11-20 Article PeerReviewed application/pdf en http://irep.iium.edu.my/39452/1/39452_Quadratic%20plus%20linear%20operators.pdf application/pdf en http://irep.iium.edu.my/39452/2/39452_Quadratic%20plus%20linear%20operators_SCOPUS.pdf 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 http://iopscience.iop.org/article/10.1088/1742-6596/553/1/012003 10.1088/1742-6596/553/1/012003
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Saburov, Mansoor
Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions
description 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.
format Article
author Saburov, Mansoor
author_facet Saburov, Mansoor
author_sort Saburov, Mansoor
title Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions
title_short Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions
title_full Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions
title_fullStr Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions
title_full_unstemmed Quadratic plus linear operators which preserve pure states of quantum systems: small dimensions
title_sort quadratic plus linear operators which preserve pure states of quantum systems: small dimensions
publisher Institute of Physics Publishing (UK)
publishDate 2014
url http://irep.iium.edu.my/39452/
http://irep.iium.edu.my/39452/
http://irep.iium.edu.my/39452/
http://irep.iium.edu.my/39452/1/39452_Quadratic%20plus%20linear%20operators.pdf
http://irep.iium.edu.my/39452/2/39452_Quadratic%20plus%20linear%20operators_SCOPUS.pdf
first_indexed 2023-09-18T20:56:41Z
last_indexed 2023-09-18T20:56:41Z
_version_ 1777410351269150720

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