Semi-classical Limit for the Quantum Zakharov System

被引：7
|
作者：
Fang, Yung-Fu [1 ]
Kuo, Hung-Wen [1 ]
Shih, Hsi-Wei [1 ]
Wang, Kuan-Hsiang [1 ]
机构：
[1] Natl Cheng Kung Univ, Dept Math, 1 Dasyue Rd, Tainan 70101, Taiwan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2019年 / 23卷 / 04期
关键词：
quantum Zakharov system; semi-classical limit; quantum parameter; GLOBAL WELL-POSEDNESS; ENERGY; EXISTENCE; EQUATIONS;
D O I：
10.11650/tjm/180806
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the semi-classical limit for the quantum Zakharov system, that is, the quantum Zakharov system converges to the classical Zakharov system as the quantum parameter goes to zero, including a convergence rate. We improve the results of Guo-Zhang-Guo [11].
引用
收藏
页码：925 / 949
页数：25
相关论文
共 50 条
  • [21] Conformal blocks beyond the semi-classical limit
    Fitzpatrick, A. Liam
    Kaplan, Jared
    JOURNAL OF HIGH ENERGY PHYSICS, 2016, (05):
  • [22] A semi-classical limit of the gauge/string correspondence
    Gubser, SS
    Klebanov, IR
    Polyakov, AM
    NUCLEAR PHYSICS B, 2002, 636 (1-2) : 99 - 114
  • [23] ON SOLITONS IN SEMI-CLASSICAL LIMIT OF THE QUANTUM SPIN 1/2 HEISENBERG CHAIN
    POPIELEWICZ, A
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1981, 14 (11): : L325 - L329
  • [24] Quantum dynamics in a cubic potential in the semi-classical limit: Smearing of the homoclinic bifurcation
    Pal, Akshay
    Bhattacharjee, Jayanta K.
    PHYSICS OPEN, 2021, 6
  • [25] On Semi-classical Limit of Spatially Homogeneous Quantum Boltzmann Equation: Weak Convergence
    He, Ling-Bing
    Lu, Xuguang
    Pulvirenti, Mario
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 386 (01) : 143 - 223
  • [26] Semi-classical limit of random walks II
    Porod, U
    Zelditch, S
    ASYMPTOTIC ANALYSIS, 1998, 18 (3-4) : 215 - 261
  • [27] Conformal blocks beyond the semi-classical limit
    A. Liam Fitzpatrick
    Jared Kaplan
    Journal of High Energy Physics, 2016
  • [28] MULTIPLE WELLS IN THE SEMI-CLASSICAL LIMIT I
    HELFFER, B
    SJOSTRAND, J
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1984, 9 (04) : 337 - 408
  • [29] Semi-classical Limit of Quantum Free Energy Minimizers for the Gravitational Hartree Equation
    Woocheol Choi
    Younghun Hong
    Jinmyoung Seok
    Archive for Rational Mechanics and Analysis, 2021, 239 : 783 - 829
  • [30] Deformation of semi-classical symmetries: Poisson-Hopf limit of quantum algebras
    Ballesteros, A.
    Celeghini, E.
    del Olmo, M. A.
    SYMMETRIES IN SCIENCE XIV, 2010, 237
12345