【摘 要】
:
For any classical Lie algebra g, we construct a family of integrable generalizations of Toda mechanics labeled a pair of ordered integers (m, n). The universal
【机 构】
:
Institute of Modern Physics
论文部分内容阅读
For any classical Lie algebra g, we construct a family of integrable generalizations of Toda mechanics labeled a pair of ordered integers (m, n). The universal form of the Lax pair, equations of motion, Hamiltonian as well as Poisson brackets areprovided, and explicit examples for g = Br, Cr,Dr with m, n ≤ 3 are also given. For all m, n, it is shown that the dynamics of the (m, n - 1)- and the (m - 1, n)-Toda chains are natural reductions of that of the (m, n)-chain,and for m = n, there is also a family of symmetrically reduced Toda systems, the (m, m)sym-Toda systems, which are also integrable. In the quantum case, all (m,n)-Toda systems with m > 1 or n > 1 describe the dynamics of standard Toda variables coupled to noncommutative variables. Except for the symmetrically reduced cases, the integrability for all (m, n)-Toda systems survive after quantization.
其他文献
In summer of 2001, 2002 and 2003, ten, six and seventeen satellite-tracked surface drifters with drogues centered at 15 and 4 m were deployed, respectively, in
A set in Rd is called regular if its Hausdorff dimension coincides with its upper box counting dimension. It is proved that a random graph-directed self-similar
The effect of dimethyl ether (DME) co-feed on the catalytic performance of methane dehy droaromatization (MDA) over 6Mo/HZSM-5 catalyst was investigated as a fu
The three-phase behavior in the quaternary system of an alkyl (C8/10- or C12/14-) polyglucoside / 1-butanol / n-octane / water has been studied at 40 ℃ with th
The oxidation of styrene with molecular oxygen catalyzed by PdCl2+CuCl2 has been investigated in supercritical CO2 with a batch reactor. The oxidative system of
The global existence and large time behavior of smooth solutions to multidimensional nonisentropic Euler-Poisson equations are established.
The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of
A series of alkaline earth sulfides based phosphors Ca0.8Sr0.2S∶Eu2+, Tm3+ were covered with a layer of protective coating with alkaline earth fluorides by hea
A class of second order nonlinear differential equations with delay depengingon the unknown function of the from(r(t)ψ(x(t))x' (t))' + f (t, x(t), x (△ (t, x(
We find quantum mechanical Fourier-Hankel representation transform for an electron moving in a uniform magnetic field. The physical meaning of Fourier decomposi