-
Abstract:
By using the theory of uniformization of Riemannian surface, we study the properties of the Liouville equation and its general solution on a Riemannian surface of genus g>1. After obtaining Hamiltonian formalism in terms of free fields and calculating classical exchange matrices, we prove the classical integrability of Liouville system on high genus Riemannian surface.
-
-
-
[1] |
Ronghao Hu
, Qike Gu
, Kejian Shi
, Zezhong Wei
, Meng Lv
, Shiyang Zou
, Yongkun Ding
. Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C,
2025, 49(12): 124102.
doi: 10.1088/1674-1137/adec4f
|
[2] |
HUANG Jiang
, XIONG Yong-Qian
, CHEN De-Zhi
, LIU Kai-Feng
, YANG Jun
, LI Dong
, YU Tiao-Qin
, FAN Ming-Wu
, YANG Bo
. A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C,
2014, 38(10): 107008.
doi: 10.1088/1674-1137/38/10/107008
|
[3] |
HUANG Wen-Xue
, WANG Yue
, ZHU Zhi-Chao
, TIAN Yu-Lin
, XU Hu-Shan
, SUN Zhi-Yu
, XIAO Guo-Qing
, ZHAN Wen-Long
. Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C,
2006, 30(S2): 261-264. |
[4] |
PENG Quan-Ling
, SUN Jian
, ZHAO Guang-Yuan
, SHI Cai-Tu
. Principle and Software Design of Helmhotz Coil Measurement System. Chinese Physics C,
2001, 25(9): 920-925. |
[5] |
Chen Zhongqiu
, Shao Changgui
, Ma Weichuan
. Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C,
1998, 22(3): 217-224. |
-
Access
-
-