Coherent States and Quantum Asymptotic Features by Weak KAM Theory

被引:0
|
作者
Franco Cardin
Simone Vazzoler
机构
[1] Università degli Studi di Padova,Dip. Matematica
来源
关键词
Quantum Mechanics; Coherent states; Weak KAM theory;
D O I
暂无
中图分类号
学科分类号
摘要
We propose a sketch for a proof of an interesting theorem on the evolution of coherent states, whose statement has been first presented in Paul (Séminaire: Équations aux Dérivées Partielles. 2007–2008, pages Exp. No. IV, 21. École Polytech., Palaiseau, 2009), and give some further insights on the asymptotic behavior, involving weak KAM theory.
引用
收藏
页码:189 / 197
页数:8
相关论文
共 50 条
  • [1] Coherent States and Quantum Asymptotic Features by Weak KAM Theory
    Cardin, Franco
    Vazzoler, Simone
    ACTA APPLICANDAE MATHEMATICAE, 2014, 132 (01) : 189 - 197
  • [2] Towards a quantum analog of weak KAM theory
    Evans, LC
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 244 (02) : 311 - 334
  • [3] Towards a Quantum Analog of Weak KAM Theory
    Lawrence C. Evans
    Communications in Mathematical Physics, 2004, 244 : 311 - 334
  • [4] Intrinsic quantum correlations of weak coherent states for quantum communication
    Sua, Yong Meng
    Scanlon, Erin
    Beaulieu, Travis
    Bollen, Viktor
    Lee, Kim Fook
    PHYSICAL REVIEW A, 2011, 83 (03):
  • [5] New Identities for Weak KAM Theory
    Evans, Lawrence Craig
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2017, 38 (02) : 379 - 392
  • [6] Weak KAM theory for potential MFG
    Cardaliaguet, Pierre
    Masoero, Marco
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (07) : 3255 - 3298
  • [7] New identities for Weak KAM theory
    Lawrence Craig Evans
    Chinese Annals of Mathematics, Series B, 2017, 38 : 379 - 392
  • [8] Quantum secret sharing using weak coherent states
    Grice, Warren P.
    Qi, Bing
    PHYSICAL REVIEW A, 2019, 100 (02)
  • [9] Counterfactual quantum cryptography based on weak coherent states
    Yin, Zhen-Qiang
    Li, Hong-Wei
    Yao, Yao
    Zhang, Chun-Mei
    Wang, Shuang
    Chen, Wei
    Guo, Guang-Can
    Han, Zheng-Fu
    PHYSICAL REVIEW A, 2012, 86 (02)
  • [10] Resonance conjecture via weak KAM theory
    Niu, Xun
    Wang, Kaizhi
    Li, Yong
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2023, 172 : 139 - 163