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Schrödinger方程的一般解与超晶格多量子阱的电子跃迁

罗晓华

引用本文:
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Schrödinger方程的一般解与超晶格多量子阱的电子跃迁

罗晓华

General solution of Schrödinger equation and electron transition in superlattice multi-quantum well

Luo Xiao-Hua
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  • 假设超晶格量子阱是一个形状任意的周期势阱,电子在超晶格中的运动问题可视为周期场中的运动问题. 在量子力学的框架内,从Schrödinger方程和它的一般解出发,利用Bloch 理论和传输矩阵方法导出了系统的色散方程;在抛物线近似下,讨论了超晶格量子阱的电子跃迁. 结果表明,辐射能量位于红外、远红外或太赫兹波段.
    Supposing that the quantum well of a superlattice is a periodic potential well of an arbitrary shape, the motion problem of electrons in the superlattice can be reduced into the motion in a periodic field. From the Schrödinger equation and its general solution, the dispersion equation of the system can be derived using Bloch theory and the transfer matrix method in the framework of quantum mechanics; and the electronic transitions of the multi-quantum well for the superlattice can be discussed in parabolic approximation. Results show that the radiation energy is located at the infrared, far infrared or terahertz band.
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    [2]

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    Luo X H, He W, Wu M Y, Shao M Z, Luo S Y 2013 Chin. Phys. B 22 064210

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    Liu H Z, Luo S Y, Shao M Z 2013 Chin. Phys. B 22 047807

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    Luo S Y, Li H T, Wu M Y, Wang S J, Ling D X, Zhang W F, Shao M Z 2010 Acta Phys. Sin. 59 15766 (in Chinese) [罗诗裕, 李洪涛, 吴木营, 王善进, 凌东雄, 张伟风, 邵明珠 2010 物理学报 59 15766]

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    Xu Z C, Chen J X, He L 2012 Laser & Infrared 42 45 (in Chinese) [徐志成, 陈建新, 何力 2012 激光与红外 42 45]

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    Feng X Y, Lu Y, Jiang L, Zhang G L, Zhang C W, Wang P J 2012 Acta Phys. Sin. 61 057101 (in Chinese) [冯现徉, 逯瑶, 蒋雷, 张国莲, 张昌文, 王培吉 2012 物理学报 61 057101]

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    Li P P, Tang H B, She W L, 2012 Acta Optica Sinica 32 0619004 (in Chinese) [李培培, 唐海波, 佘卫龙 2012 光学学报 32 0619004]

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    [15]

    Luo D Y, Shao M Z, Luo X H 2010 Sci. Chin. (Physics, Mechanics & Astronomy) 40 207 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 中国科学(物理学, 力学和天文学) 40 207]

    [16]

    Luo X H, He W, Shao M Z 2008 High Power Laser and Particle Beams 20 675 (in Chinese) [罗晓华, 何为, 邵明珠 2008 强激光与粒子束 20 675]

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    Haar D T 1960 Problems in Quantum Mechanics (London: Infosearch Limited) p246

  • [1]

    Gudiksen M S, Lauhon L J, Wang J F, Smith D C, Lieber C M 2002 Nature 415 617

    [2]

    Urban J J, Talapin D V, Shevchenko E V, Kagan C R Murray C B 2007 Nature Materials 6 115

    [3]

    Miura K, Iguchi Y, Tsubokura M, Kawamura Y 2013 Journal of Applied Physics 113 143506

    [4]

    Chen Y, Ouyang Z, Gu M, Cheng W L 2013 Advanced Materials 25 80

    [5]

    Yakushiji K, Saruya T, Kubota H, Fukushima A 2010 Applied Physics Letters 97 32508

    [6]

    Zhang M, Shao M Z, Luo S Y 2007 Chin. J. Luminescence 28 679 (in Chinese) [张梅, 邵明珠, 罗诗裕 2007 发光学报 28 679]

    [7]

    Luo X H, He W, Wu M Y, Shao M Z, Luo S Y 2013 Chin. Phys. B 22 064210

    [8]

    Liu H Z, Luo S Y, Shao M Z 2013 Chin. Phys. B 22 047807

    [9]

    Luo S Y, Li H T, Wu M Y, Wang S J, Ling D X, Zhang W F, Shao M Z 2010 Acta Phys. Sin. 59 15766 (in Chinese) [罗诗裕, 李洪涛, 吴木营, 王善进, 凌东雄, 张伟风, 邵明珠 2010 物理学报 59 15766]

    [10]

    Xu Z C, Chen J X, He L 2012 Laser & Infrared 42 45 (in Chinese) [徐志成, 陈建新, 何力 2012 激光与红外 42 45]

    [11]

    Feng X Y, Lu Y, Jiang L, Zhang G L, Zhang C W, Wang P J 2012 Acta Phys. Sin. 61 057101 (in Chinese) [冯现徉, 逯瑶, 蒋雷, 张国莲, 张昌文, 王培吉 2012 物理学报 61 057101]

    [12]

    Li P P, Tang H B, She W L, 2012 Acta Optica Sinica 32 0619004 (in Chinese) [李培培, 唐海波, 佘卫龙 2012 光学学报 32 0619004]

    [13]

    Sun W F, 2012 Acta Phys. Sin. 61 1171041 (in Chinese) [孙伟峰 2012 物理学报 61 1171041]

    [14]

    Xiao H J, Luo X H, Deng C L, Shao M Z 2011 Seim. Optoelectronics 31 422 (in Chinese) [肖慧娟, 罗晓华, 邓成良, 罗诗裕, 邵明珠 2011 半导体光电 31 422]

    [15]

    Luo D Y, Shao M Z, Luo X H 2010 Sci. Chin. (Physics, Mechanics & Astronomy) 40 207 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 中国科学(物理学, 力学和天文学) 40 207]

    [16]

    Luo X H, He W, Shao M Z 2008 High Power Laser and Particle Beams 20 675 (in Chinese) [罗晓华, 何为, 邵明珠 2008 强激光与粒子束 20 675]

    [17]

    Haar D T 1960 Problems in Quantum Mechanics (London: Infosearch Limited) p246

计量
  • 文章访问数:  5362
  • PDF下载量:  585
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-08-30
  • 修回日期:  2013-10-06
  • 刊出日期:  2014-01-05

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