Published June 8, 2016 | Version v1
Journal article Metadata-only

Turnpike solutions of control problems in quantum systems

Creators

  • 1. Ailamazyan Program Systems Institute, Russian Academy of Sciences, Peter One str. 4a, 152021, Pereslavl-Zalessky, Russia and Trapeznikov Control Sciences Institute, Russian Academy of Sciences, Moscow (Russian Federation)

Description

The model of a quantum system of interacting spins based on the Shrödinger equation with unbounded linear control is transformed to an equivalent derived system (known from the degenerate problems theory). It consists of a regular differential system with new control and description of impulse control modes. This reveals the general turnpike structure of control processes and allows to propose some effective algorithms of their investigation.

Additional details

Identifiers

DOI
10.1063/1.4952190;

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
1738
Journal Issue
1
Journal Page Range
vp.
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
International conference of numerical analysis and applied mathematics 2015
Acronym
ICNAAM 2015
Dates
22-28 Sep 2015
Place
Rhodes (Greece)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48055014
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGORITHMS; CONTROL; MATHEMATICAL SOLUTIONS; PULSES; QUANTUM SYSTEMS; SCHROEDINGER EQUATION; SPIN
Descriptors DEC
ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL LOGIC; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; WAVE EQUATIONS

Optional Information

Notes
(c) 2016 Author(s)