首页 > 论文 > 量子光学学报 > 23卷 > 4期(pp:311-315)

水分子(H2O)中O—H键的稳定性

The Stability of the Quantum State on the O-H Key in H2O

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

摘要

以水分子(H2O)双振子二次量子化哈密顿量作为理论模型,通过加横向扰动研究H2O中氢氧(O—H)耦合量子态的稳定性。结果表明:当水分子中的两个振子能量集中于其中之一时,不易受横向扰动的影响,稳定性好;当振子能量不对称时,极易受横向扰动的影响,稳定性迅速衰减、变差;当两振子振动强度一致时,不易受弱横向扰动的影响,对于比较强的横向扰动稳定性演化曲线呈现近周期性变化,说明该状态在强扰动下极易发生可逆性的跃迁。

Abstract

In this paper, based on the theoretical model of the second quantization Hamiltonian of a water molecules (H2O) with double oscillator,we study the stability of hydrogen and oxygen (O-H) key oscillator in a H2O by adding lateral disturbance. The results show that when the energy of the two vibrators in the water molecules are concentrated in one of them, it is not easy to be affected by lateral disturbance.When the vibration energy is asymmetrical, it is easy to be affected by lateral perturbation.i.e., the former does better then than the latter in stability.When the vibrational strength of the two oscillators is consistent, it is not easy to be affected by the weak lateral disturbance, but the Strong disturbance causes periodic changes of the stable evolution curve. It is indicated that this state can be easily reversibility under a strong disturbance. It is also stable on the time average.

投稿润色
补充资料

中图分类号:O431

DOI:10.3788/jqo20172304.0001

所属栏目:量子光学基础

基金项目:河南省教育厅自然科学基金(2016020031)

收稿日期:2017-07-04

修改稿日期:2017-08-29

网络出版日期:--

作者单位    点击查看

赖振讲:郑州大学 西亚斯国际学院电子信息工程学院,郑州 451150
薛艳:河南师范大学 化学化工学院,新乡 453002
王伟:河南师范大学 化学化工学院,新乡 453002

联系人作者:赖振讲(13569808749@163.com)

备注:赖振讲(1954-), 男, 河南南乐人, 教授, 主要从事量子光学研究,

【1】Wang Wenge,Casati G,Li Baowen.Stability of Quantum Motion in Regular Systems:A Uniform Semiclassical Approach[J].J Phys Rev E,2007,75(1):016201.DOI:10.1103/PhysRevE.75.016201.

【2】Prosen T,Znidaric M.Stability of Quantum Motion and Correlation Decay[J].J Physics A:Mathematical and General,2002,35(6):1455.DOI:https:∥doi.org/10.1088/0305-4470/35/6/309.

【3】吴国祯.分子高激发振动态的经典非线性性质[J].中国科学:物理学力学天文学,2011,41(4):410-420.DOI:10.1360/132011-55.

【4】郑敦胜,吴国祯.分子高激发振动态的动力学特性研究[J].物理学报,2002,51(10):2229-2232.DOI:http:∥wulixb.iphy.ac.cn/CN/Y2002/V51/I10/2229.

【5】Michael E,Kellman M E.Algebraic Resonance Dynamics of the Normal/Local Transition from Experimental Spectra of ABA Triatomics[J].J Chem Phys,1985,83:3843.DOI:http:∥dx.doi.org/10.1063/1.449095.

【6】Peres A.Stability of Quantum Motion in Chaotic and Regular Systems[J].Phys Rev A,1984,30(4):1610.DOI:10.1103/PhysRevA.30.1610.

【7】Wang Wenge,Casati G,Li Baowen.Stability of Quantum Motion:Beyond Fermi-golden-rule and Lyapunov Decay[J].Physical Review E Statistical Nonlinear & Soft Matter Physics,2004,69(2):025201.DOI:10.1103/PhysRevE. 69.025201.

【8】Wang W G,Casati G,Li B.Stability of Quantum Motion:A Semiclassical Approach[J].International Journal of Modern Physics B,2007,21(23n24):0704553.DOI:https:∥doi.org/10.1142/S0217979207045530.

【9】Krivolapov Y,Fishman S,Ott E,et al.Quantum Chaos of a Mixed Open System of Kicked cold Atoms[J].Phys Rev E,Stat Nonlin Soft Matter Phys,2011,83(1 Pt 2):016204.DOI:10.1103/PhysRevE.83.016204.

【10】Emzir M F,Petersen I R,Woolley M J.Lyapunov Stability Analysis for Invariant States of Quantum Systems[Z/OL].2017.https:∥arxiv.org/pdf/1707.07372.

【11】Hannappel G,Pedder C J,Krüger F,et al.Stability of a Spin-triplet Nematic State Near to a Quantum Critical Point[J].Physical Review B,2016,93(23).DOI:10.1103 /PhysRevB.93.235105.

【12】Meinecke S,Lingnau B,Rhm A,et al.Stability of Optically Injected Two-State Quantum-Dot Lasers[J].Annalen Der Physik,2017(12):1600279.DOI:10.1002/andp.201600279.

引用该论文

LAI Zhen-jiang,XUE Yan,WANG Wei. The Stability of the Quantum State on the O-H Key in H2O[J]. Acta Sinica Quantum Optica, 2017, 23(4): 311-315

赖振讲,薛艳,王伟. 水分子(H2O)中O—H键的稳定性[J]. 量子光学学报, 2017, 23(4): 311-315

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF