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Titlebook: Electronic States in Crystals of Finite Size; Quantum confinement Shang Yuan Ren Book 20061st edition Springer-Verlag New York 2006 Finite

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发表于 2025-3-21 17:44:01 | 显示全部楼层 |阅读模式
书目名称Electronic States in Crystals of Finite Size
副标题Quantum confinement
编辑Shang Yuan Ren
视频video
丛书名称Springer Tracts in Modern Physics
图书封面Titlebook: Electronic States in Crystals of Finite Size; Quantum confinement  Shang Yuan Ren Book 20061st edition Springer-Verlag New York 2006 Finite
描述The theory of electronic states in crystals is the very basis of modern solid state physics. In traditional solid state physics – based on the Bloch theorem – the theory of electronic states in crystals is essentially a theory of electronic states in crystals of in?nite size. However, that any real crystal always has a ?nite size is a physical reality one has to face. The di?erence between the electronic structure of a real crystal of ?nite size and the electronic structure obtained based on the Bloch theorem becomes more signi?cant as the crystal size decreases. A clear understanding of the properties of electronic states in real crystals of ?nite size has both theoretical and practical signi?cance. Many years ago when the author was a student learning solid state physics at Peking University, he was bothered by a feeling that the general use of the periodic boundary conditions seemed unconvincing. At least the e?ects of such a signi?cant simpli?cation should be clearly understood. Afterward, he learned that many of his school mates had the same feeling. Among many solid state physics books, the author found that only in the classic book Dynamic Theory of Crystal Lattices by Born
出版日期Book 20061st edition
关键词Finite crystals; PED; PES; REM; STEM; electronic states; low-dimensional systems; quantum confinement; surfa
版次1
doihttps://doi.org/10.1007/b137381
isbn_softcover978-1-4419-2087-4
isbn_ebook978-0-387-26304-5Series ISSN 0081-3869 Series E-ISSN 1615-0430
issn_series 0081-3869
copyrightSpringer-Verlag New York 2006
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发表于 2025-3-22 00:15:50 | 显示全部楼层
Mathematical Basisls were obtained through the analysis of one-dimensional crystals [.–.]. Among the most well-known examples are the Kronig-Penney model [.], Kramers’ general analysis of the band structure of one-dimensional infinite crystals [.], Tamm’s surface states [.], and so forth. In order to have a clear und
发表于 2025-3-22 01:24:47 | 显示全部楼层
Surface States in One-Dimensional Semi-infinite Crystalsat the termination of the periodic potential due to the existence of a barrier at the boundary in a one-dimensional semi-infinite crystal can cause localized surface states to exist in band gaps below the barrier height [.]. Now after more than 70 years, the investigations of the properties of surfa
发表于 2025-3-22 06:45:36 | 显示全部楼层
Electronic States in Ideal One-Dimensional Crystals of Finite Lengthntial period and . is a positive integer.. On the basis of the theory of differential equations in Chapter 2, exact and general results on the electronic states in such an ideal finite crystal can be analytically obtained. We will see that in obtaining the results in this chapter, it is the understa
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发表于 2025-3-22 16:36:58 | 显示全部楼层
Electronic States in Ideal Quantum Wireswhich can be considered as the electronic states in a quantum film discussed in Chapter 5 further confined in one more direction. In particular, we are interested in those simple cases where the two primitive lattice vectors .1 and .2 in the film plane are perpendicular to each other. By using an ap
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Concluding Remarkss, based on a theory of differential equations approach. By ideal, it is assumed that (i) the potential . inside the low-dimensional system or the finite crystal is the same as in a crystal with translational invariance and (ii) the electronic states are completely confined in the limited size of th
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发表于 2025-3-23 07:48:10 | 显示全部楼层
https://doi.org/10.1007/978-3-658-05466-3ls were obtained through the analysis of one-dimensional crystals [.–.]. Among the most well-known examples are the Kronig-Penney model [.], Kramers’ general analysis of the band structure of one-dimensional infinite crystals [.], Tamm’s surface states [.], and so forth. In order to have a clear und
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