X iv : m at h - ph / 0 40 20 14 v 1 6 F eb 2 00 4 Integrable systems related to elliptic branched coverings February 5 , 2008
نویسنده
چکیده
The new integrable systems associated to the space of elliptic branched coverings are constructed. The relationship of these systems with elliptic Schlesinger's system Takasaki [1] is described. For the standard twofold elliptic coverings the integrable system is written explicitly. The trigonometric degeneration of our construction is presented.
منابع مشابه
ar X iv : m at h - ph / 0 60 20 16 v 1 7 F eb 2 00 6 Magnetic Geodesic Flows on Coadjoint Orbits ∗
We describe a class of completely integrable G-invariant magnetic geodesic flows on (co)adjoint orbits of a compact connected Lie group G with magnetic field given by the Kirillov-Konstant 2-form.
متن کاملar X iv : m at h - ph / 0 40 20 05 v 1 4 F eb 2 00 4 Estimators , escort probabilities , and φ - exponential families in statistical physics
The lower bound of Cramer and Rao is generalized to pairs of families of probability distributions, one of which is escort to the other. This bound is optimal for certain families, called φ-exponential in the paper. Their dual structure is explored.
متن کاملar X iv : m at h - ph / 0 40 80 37 v 1 2 4 A ug 2 00 4 Integrable nonholonomic geodesic flows on compact Lie groups ∗
This paper is a review of recent results on integrable nonholonomic geodesic flows of left–invariant metrics and leftand right–invariant constraint distributions on compact Lie groups.
متن کاملar X iv : 0 80 2 . 04 53 v 1 [ m at h - ph ] 4 F eb 2 00 8 1 Essential Spectrum of Multiparticle Brown – Ravenhall Operators in External Field
The essential spectrum of multiparticle Brown– Ravenhall operators is characterized in terms of two–cluster decompositions for a wide class of external fields and interparticle interactions and for the systems with prescribed symmetries. 2000 Mathematics Subject Classification: 81V55, 81Q10
متن کاملar X iv : m at h - ph / 0 51 00 88 v 1 2 6 O ct 2 00 5 Quasi - Chaplygin Systems and Nonholonimic Rigid Body Dynamics ∗
We show that the Suslov nonholonomic rigid body problem studied in [10, 13, 26] can be regarded almost everywhere as a generalized Chaplygin system. Furthermore, this provides a new example of a multidimensional nonholonomic system which can be reduced to a Hamiltonian form by means of Chaplygin reducing multiplier. Since we deal with Chaplygin systems in the local sense, the invariant manifold...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004