Published February 1989
| Version v1
Journal article
Invariant measures of one-dimensional dynamical systems of anharmonic oscillators
Creators
Description
The description of invariant measures for a dynamical system generated by an infinite chain of equations of motion of anharmonic oscillators is investigated. It is shown that in the class of Gibbs measures corresponding to Hamiltonians h=[hΛ, Λ contained in Z1] of general form the set of invariant measures is exhausted by the equilibrium Gibbs distributions, i.e., by the Gibbs measures corresponding to the total energy interval
Additional details
Publishing Information
- Journal Title
- Theoretical and Mathematical Physics (English Translation)
- Journal Volume
- 76
- Journal Issue
- 2
- Series
- Theor. Math. Phys. (Engl. Transl.).
- Journal Page Range
- 848-855
- ISSN
- 0040-5779
- CODEN
- TMPHA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 21003718
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- ANHARMONIC OSCILLATORS; EQUATIONS OF MOTION; EQUILIBRIUM; EUCLIDEAN SPACE; HAMILTONIANS; INVARIANCE PRINCIPLES; MATHEMATICAL MANIFOLDS; ONE-DIMENSIONAL CALCULATIONS; PROBABILITY; QUANTUM MECHANICS; SPIN; STATISTICAL MECHANICS; THERMODYNAMICS; TOPOLOGICAL MAPPING
- Descriptors DEC
- ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; QUANTUM OPERATORS; RIEMANN SPACE; SPACE; TRANSFORMATIONS
Optional Information
- Notes
- Transl.: Cover-to-cover translation of Teoreticheskaya i Matematicheskaya Fizika (USSR).