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Under the condition of the spherical square potential model and the effective mass approximation, the electronic scattering cross-section and the electronic probability distribution are obtained in an open-type spherical nanometer system, and the influences of the size and the width of potential barrier on electronic scattering cross-section, resonance energy and resonance width are discussed. The results show that there exist one maximum and one minimum in the distribution curve of the electronic scattering cross-section versus energy, and the maximum of electronic energy probability distribution curve is between the maximum and the minimum of energy in the scattering cross-section curve; the scattering cross-section increases with the increase of r0, the inner radius, and the scattering cross-section curve will change from smoother to sharper with the increase of r0; the scattering cross-section will enlarge with , the width of potential barrier, but it will become abnormal when is between 1.4aCdS and 1.7aCdS; when =1.6aCdS, the scattering cross-section is extremely small; El, the electronic resonance energy changing with , is related to the electronic state, while l, the electronic resonance width will decrease with the increase of ; no matter what is, both El and l satisfy the uncertainty principle of energy and time.
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Keywords:
- spherical nanometer system /
- breadth of potential barrier /
- electronic scattering section /
- electronic probability distribution
[1] Voloshin M B 2010 Phys. Rev. Lett. 105 201801
[2] Li J, Linghu R F, Si G J, Yang X D 2010 Acta Phys. Sin. 59 5424 (in Chinese)[李 劲、令狐荣锋、司冠杰、杨向东 2010 物理学报 59 5424]
[3] [4] [5] Yang X E, Yang J S, Dong J T, Che M R 1997 Acta Phys. Sin. 46 1834 (in Chinese) [杨新娥、杨吉生、东剑涛、车明日 1997 物理学报 46 1834]
[6] Alexandre A, Dang Y L, Stefan A M, Pendry J B 2010 Phys. Rev. Lett. 105 233901
[7] [8] He L, Du L, Zhuang Y Q, Chen H, Chen W H, Li W H, Sun P 2010 Chin. Phys. B 19 097202
[9] [10] [11] Zheng R L, Zhang C L, Chen Z Q, Liu J 2003 Acta Phys. Sin. 52 2284 (in Chinese) [郑瑞伦、张翠玲、陈志谦、刘 俊 2003 物理学报 52 2284]
[12] [13] Zheng R L, Zhang C L, Chen Z Q 2005 Acta Phys. Sin. 54 886 (in Chinese) [郑瑞伦、张翠玲、陈志谦 2005 物理学报 54 886]
[14] Zheng R L 2007 Acta Phys. Sin. 56 4901 (in Chinese) [郑瑞伦 2007 物理学报 56 4901]
[15] [16] [17] Wu Q, Zheng R L 2008 Acta Phys. Sin. 57 5191 (in Chinese) [吴 强、郑瑞伦 2008 物理学报 57 5191]
[18] [19] Schooss D, Mews A, Eychmuller A, Welle H 1994 Phys. Rev. B 49 17072
[20] Mews A, Kadavanich A V, Banin U, Alivisatos A P 1996 Phys. Rev. B 53 13242
[21] [22] Wang Z X, Guo D R 1979 Especial Function Theory (Beijing: Science Press) p152 (in Chinese) [王竹溪、郭敦仁 1979 特殊函数论 (北京:科学出版社) 第152页]
[23] [24] [25] Tkach H, Seji Y A 2009 Phys. Stat. Sol. 43 357
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[1] Voloshin M B 2010 Phys. Rev. Lett. 105 201801
[2] Li J, Linghu R F, Si G J, Yang X D 2010 Acta Phys. Sin. 59 5424 (in Chinese)[李 劲、令狐荣锋、司冠杰、杨向东 2010 物理学报 59 5424]
[3] [4] [5] Yang X E, Yang J S, Dong J T, Che M R 1997 Acta Phys. Sin. 46 1834 (in Chinese) [杨新娥、杨吉生、东剑涛、车明日 1997 物理学报 46 1834]
[6] Alexandre A, Dang Y L, Stefan A M, Pendry J B 2010 Phys. Rev. Lett. 105 233901
[7] [8] He L, Du L, Zhuang Y Q, Chen H, Chen W H, Li W H, Sun P 2010 Chin. Phys. B 19 097202
[9] [10] [11] Zheng R L, Zhang C L, Chen Z Q, Liu J 2003 Acta Phys. Sin. 52 2284 (in Chinese) [郑瑞伦、张翠玲、陈志谦、刘 俊 2003 物理学报 52 2284]
[12] [13] Zheng R L, Zhang C L, Chen Z Q 2005 Acta Phys. Sin. 54 886 (in Chinese) [郑瑞伦、张翠玲、陈志谦 2005 物理学报 54 886]
[14] Zheng R L 2007 Acta Phys. Sin. 56 4901 (in Chinese) [郑瑞伦 2007 物理学报 56 4901]
[15] [16] [17] Wu Q, Zheng R L 2008 Acta Phys. Sin. 57 5191 (in Chinese) [吴 强、郑瑞伦 2008 物理学报 57 5191]
[18] [19] Schooss D, Mews A, Eychmuller A, Welle H 1994 Phys. Rev. B 49 17072
[20] Mews A, Kadavanich A V, Banin U, Alivisatos A P 1996 Phys. Rev. B 53 13242
[21] [22] Wang Z X, Guo D R 1979 Especial Function Theory (Beijing: Science Press) p152 (in Chinese) [王竹溪、郭敦仁 1979 特殊函数论 (北京:科学出版社) 第152页]
[23] [24] [25] Tkach H, Seji Y A 2009 Phys. Stat. Sol. 43 357
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