Multigrade chains with odd exponents

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چکیده

منابع مشابه

Quantum Spin Chains and Riemann Zeta Function with Odd Arguments

H.E. Boos1 Institute for High Energy Physics Protvino, 142284, Russia V.E. Korepin 2 C.N. Yang Institute for Theoretical Physics State University of New York at Stony Brook Stony Brook, NY 11794{3840, USA Abstract Riemann zeta function is an important object of number theory. We argue that it is related to Heisenberg spin 1/2 anti-ferromagnet. In the XXX spin chain we study the probability of f...

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construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...

15 صفحه اول

Normal form for odd periodic FPU chains

In this paper we prove that near the equilibirum position any periodic FPU chain with an odd number of particles admits a Birkhoff normal form up to order 4, and we obtain an explicit formula of the Hessian of its Hamiltonian at the fixed point.

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Detailed multigrade evaluation of fetal disorders with the quantified actocardiogram.

AIMS To evaluate fetal disorders using detailed quantitative values from the actocardiogram (ACG) involving simultaneous tracing of ultrasonic Doppler fetal movement bursts and fetal heart rate (FHR). METHODS Duration of FHR accelerations and fetal movement bursts were measured manually in 20 common fetal disorders. The severity of the fetal disorder was estimated using the FHR acceleration d...

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Effective chiral-spin Hamiltonian for odd-numbered coupled Heisenberg chains.

An L×∞ system of odd number of coupled Heisenberg spin chains is studied using a degenerate perturbation theory, where L is the number of coupled chains. An effective chain Hamiltonian is derived explicitly in terms of two spin half degrees of freedom of a closed chain of L sites, valid in the regime the inter-chain coupling is stronger than the intra-chain coupling. The spin gap has been calcu...

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 1992

ISSN: 0022-314X

DOI: 10.1016/0022-314x(92)90017-j