NDLI: Heisenberg-Integrable Spin Systems

Content Provider	Springer Nature Link
Author	Steinigeweg, Robin Schmidt, Heinz Jürgen
Copyright Year	2008
Abstract	We investigate certain classes of integrable classical or quantum spin systems. The first class is characterized by the recursively defined property P saying that the spin system consists of a single spin or can be decomposed into two uniformly coupled or disjoint subsystems with property P. For these systems the time evolution can be explicitly calculated. The second class consists of spin systems where all non-zero coupling constants have the same strength (spin graphs) possessing N − 1 independent, commuting constants of motion of Heisenberg type. These systems are shown to have the above property P and can be characterized as spin graphs not containing chains of length four as vertex-induced sub-graphs. We completely enumerate and characterize all spin graphs up to N = 5 spins. Applications to the construction of symplectic numerical integrators for non-integrable spin systems are briefly discussed.
Starting Page	19
Ending Page	45
Page Count	27
File Format	PDF
ISSN	13850172
Journal	Mathematical Physics, Analysis and Geometry
Volume Number	12
Issue Number	1
e-ISSN	15729656
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-11-21
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Completely integrable systems Heisenberg spin systems Applications of Mathematics Group Theory and Generalizations Geometry Mathematical and Computational Physics Analysis
Content Type	Text
Resource Type	Article
Subject	Mathematical Physics Geometry and Topology

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

On Completely Integrable Systems with Local Torus Actions

Spin Calogero Particles and Bispectral Solutions of the Matrix KP Hierarchy

On Separation of Variables for Homogeneous SL(r) Gaudin Systems

Algebro-Geometric Solutions of the TD Hierarchy

The Neumann Type Systems and Algebro-Geometric Solutions of a System of Coupled Integrable Equations

A New Integrable Hierarchy, Parametric Solutions and Traveling Wave Solutions

Arnold‘s Diffusion in Isochronous Systems

Lax Equations, Singularities and Riemann–Hilbert Problems

Thermal Ionization

Heisenberg-Integrable Spin Systems

Similar Documents

On Completely Integrable Systems with Local Torus Actions

Spin Calogero Particles and Bispectral Solutions of the Matrix KP Hierarchy

On Separation of Variables for Homogeneous SL(r) Gaudin Systems

Algebro-Geometric Solutions of the TD Hierarchy

The Neumann Type Systems and Algebro-Geometric Solutions of a System of Coupled Integrable Equations

A New Integrable Hierarchy, Parametric Solutions and Traveling Wave Solutions

Arnold‘s Diffusion in Isochronous Systems

Lax Equations, Singularities and Riemann–Hilbert Problems

Thermal Ionization

Heisenberg-Integrable Spin Systems