Published July 6, 2001
| Version v1
Journal article
Quantum spin chains and Riemann zeta function with odd arguments
Creators
- 1. Institute for High Energy Physics, Protvino (Russian Federation)
- 2. C.N. Yang Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY (US)
Description
The Riemann zeta function is an important object of number theory. We argue that it is related to the Heisenberg spin-1/2 anti-ferromagnet. In the XXX spin chain we study the probability of formation of a ferromagnetic string in the anti-ferromagnetic ground state in the thermodynamics limit. We prove that for short strings the probability can be expressed in terms of the Riemann zeta function with odd arguments. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 34
- Journal Issue
- 26
- Journal Page Range
- p. 5311-5316
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 32043585
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FERROMAGNETISM; HEISENBERG MODEL; QUANTUM MECHANICS; RIEMANN FUNCTION; SPIN; THERMODYNAMICS
- Descriptors DEC
- ANGULAR MOMENTUM; CRYSTAL MODELS; FUNCTIONS; MAGNETISM; MATHEMATICAL MODELS; MECHANICS; PARTICLE PROPERTIES