Classical dynamics and quantum spectra for a nonintegrable three-spin system

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.33.1963· OSTI ID:6156515

Nakamura, K; Bishop, A R

The classical dynamics and corresponding semiclassical quantum spectra are studied in a classically nonintegrable three-spin system with antiferromagnetic exchange coupling. The statistical average of the local curvatures of the energy diagram, i.e., that of second-order differences of eigenvalues, shows a scaling behavior when the inverse spin magnitude is decreased towards 0. The quasifractal feature of the energy diagram is suggested as a promising indicator of the quantum version of classical chaos.

• Research Organization: Fukuoka Institute of Technology, Higashi-ku, Fukuoka 811-02, Japan
• OSTI ID: 6156515
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 33:3; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANTIFERROMAGNETISM
CLASSICAL MECHANICS
DYNAMICS
EIGENVALUES
EXCHANGE INTERACTIONS
INTERACTIONS
MAGNETISM
MECHANICS
NONLINEAR PROBLEMS
PARTICLE PROPERTIES
QUANTUM MECHANICS
SCALING LAWS
SPECTRA
SPIN