搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

DNA模型的有限格点系的严格对角化解

黄书文 刘涛 汪克林

引用本文:
Citation:

DNA模型的有限格点系的严格对角化解

黄书文, 刘涛, 汪克林

Exact diagonalization solution of DNA model systems of limited grid

Huang Shu-Wen, Liu Tao, Wang Ke-Lin
PDF
导出引用
  • 讨论了DNA一维Holstein模型的严格对角化求解方法,在此基础上比较它与相干态变分法的结果,从而对后者的可靠性及精确程度进行检验,得到的结果表明两者确有明显的差异,严格对角化解方法得到的基态能量更低,达到饱和情形的格点数更少,本方法不仅可以讨论系统的基态,而且还能给出其能谱及激发态.严格对角化解方法对DNA的研究较之变分法的讨论有显著的改进.
    A exact diagonalization solution method for solving the one-dimensional Holstein model of DNA is discussed in this paper. We compared the results of this paper with the former results of coherent state variational method (CVM) to check the reliability and accuracy of CVM. It is clearly seen that the ground state energy calculated by exact diagonalization solution method is considerably smaller than that of the CVM and can reach the saturation with smaller site number. With the strict method we can not only obtain the ground state energy, but also the spectra of all excited states. Therefore there is a significant improvement in the studying of Holstein model than the former CVM .
    • 基金项目: 四川省教育厅基金(批准号:041139)资助的课题.
    [1]

    [1]Endres R G, Cox D L, Singh R R P 2004 Rev. Mod.Phys. 76 195

    [2]

    [2]Tadao T, Kiyohiko K, Mamoru F, Tetsuro M 2004 Proc. Natl. Acad. Sci. USA 101 14002

    [3]

    [3]Kalosakas G, Rasmussen K , Bishop A R 2003 J. Chem. Phys. 118 3731

    [4]

    [4]Giese B, Amaudrut J, Ke’hler A K, Spormann M, Wessely S 2001 Nature 412 318

    [5]

    [5]Yoo K H, Da D H, Lee J O, Park J W, Kim J H, Kim J J, Lee H Y, Kawai T, Choi H Y 2001 Phys. Rev. Lett. 87 198102

    [6]

    [6]Xie P, Dou S X, Wang P Y 2005 Chin. Phys. 14 744

    [7]

    [7]Sheng Y B, Li J, Ma B L, Wang W 2005 Chin. Phys. 14 2365

    [8]

    [8]Deng C, Weng Y M, Xu Z Z, Fei L 2005 Acta Phys. Sin. 54 2434 (in Chinese)[邓闯、翁渝民、徐至中、费伦 2005 物理学报 54 2434]

    [9]

    [9]Heim T, Me’lin T, Deresmes D, Vuillaume D 2003 Appl. Phys. Lett. 85 2637

    [10]

    ]Thomas H, Dominique D and Dominique V 2004 J. Appl. Phys. 96 2927

    [11]

    ]Yu Z G, Vo Anh, Gong Z M, Long S C 2002 Chin. Phys. 11 93

    [12]

    ]Li W, Wang P Y, Dou S X, Tong P Q 2003 Chin. Phys. 12 96

    [13]

    ]Barnett R N, Cleveland C L, Joy A, Landman U, Schuster G B 2001 Science 294 567

    [14]

    ]Gervasio F L, Carloni P, Parrinello M 2002 Phys. Rev. Lett. 89 108102

    [15]

    ]Alexandre S S, Artacho E, Solar J M, Chacham H 2003 Phys. Rev. Lett. 91 108105

    [16]

    ]Liu Tao, Wang Y, Wang K L 2007 Chin. Phys. 16 0272[17]Yang Z Y,Hao Y 2005 Acta Phys. Sin. 54 2883(in Chinese )[杨子元、 郝跃 2005 物理学报 54 2883 ]

    [17]

    ]Kou Z Q, Di N L, Ma X, Li Q A, Cheng Z H 2005 Chin. Phys. 14 1653

    [18]

    ]Wang K L, Chen Q H, Wan S L 1994 Acta Phys. Sin 43 433(in Chinese )[汪克林、 陈庆虎、 完绍龙 1994 物理学报 43 433 ]

    [19]

    ]Huang S W,Liu T,Fan Y X, Wang K L 2007 Acta Phys. Sin 56 433(in Chinese )[黄书文、 刘涛、 范云霞、 汪克林 2007 物理学报 56 433 ]

    [20]

    ]Zhang Z J, Wang K L,Qin G 2005 Chin. Phys. 141317

    [21]

    ]Liu T, Feng M, Wang K L 2005 Phys. Lett. A 337 487

  • [1]

    [1]Endres R G, Cox D L, Singh R R P 2004 Rev. Mod.Phys. 76 195

    [2]

    [2]Tadao T, Kiyohiko K, Mamoru F, Tetsuro M 2004 Proc. Natl. Acad. Sci. USA 101 14002

    [3]

    [3]Kalosakas G, Rasmussen K , Bishop A R 2003 J. Chem. Phys. 118 3731

    [4]

    [4]Giese B, Amaudrut J, Ke’hler A K, Spormann M, Wessely S 2001 Nature 412 318

    [5]

    [5]Yoo K H, Da D H, Lee J O, Park J W, Kim J H, Kim J J, Lee H Y, Kawai T, Choi H Y 2001 Phys. Rev. Lett. 87 198102

    [6]

    [6]Xie P, Dou S X, Wang P Y 2005 Chin. Phys. 14 744

    [7]

    [7]Sheng Y B, Li J, Ma B L, Wang W 2005 Chin. Phys. 14 2365

    [8]

    [8]Deng C, Weng Y M, Xu Z Z, Fei L 2005 Acta Phys. Sin. 54 2434 (in Chinese)[邓闯、翁渝民、徐至中、费伦 2005 物理学报 54 2434]

    [9]

    [9]Heim T, Me’lin T, Deresmes D, Vuillaume D 2003 Appl. Phys. Lett. 85 2637

    [10]

    ]Thomas H, Dominique D and Dominique V 2004 J. Appl. Phys. 96 2927

    [11]

    ]Yu Z G, Vo Anh, Gong Z M, Long S C 2002 Chin. Phys. 11 93

    [12]

    ]Li W, Wang P Y, Dou S X, Tong P Q 2003 Chin. Phys. 12 96

    [13]

    ]Barnett R N, Cleveland C L, Joy A, Landman U, Schuster G B 2001 Science 294 567

    [14]

    ]Gervasio F L, Carloni P, Parrinello M 2002 Phys. Rev. Lett. 89 108102

    [15]

    ]Alexandre S S, Artacho E, Solar J M, Chacham H 2003 Phys. Rev. Lett. 91 108105

    [16]

    ]Liu Tao, Wang Y, Wang K L 2007 Chin. Phys. 16 0272[17]Yang Z Y,Hao Y 2005 Acta Phys. Sin. 54 2883(in Chinese )[杨子元、 郝跃 2005 物理学报 54 2883 ]

    [17]

    ]Kou Z Q, Di N L, Ma X, Li Q A, Cheng Z H 2005 Chin. Phys. 14 1653

    [18]

    ]Wang K L, Chen Q H, Wan S L 1994 Acta Phys. Sin 43 433(in Chinese )[汪克林、 陈庆虎、 完绍龙 1994 物理学报 43 433 ]

    [19]

    ]Huang S W,Liu T,Fan Y X, Wang K L 2007 Acta Phys. Sin 56 433(in Chinese )[黄书文、 刘涛、 范云霞、 汪克林 2007 物理学报 56 433 ]

    [20]

    ]Zhang Z J, Wang K L,Qin G 2005 Chin. Phys. 141317

    [21]

    ]Liu T, Feng M, Wang K L 2005 Phys. Lett. A 337 487

计量
  • 文章访问数:  6733
  • PDF下载量:  743
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-06-24
  • 修回日期:  2009-07-15
  • 刊出日期:  2010-03-15

/

返回文章
返回