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OverviewThe 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 and Huang was there a more detailed discussion on the e?ects of such a simpli?cation in an Appendix. Full Product DetailsAuthor: SHANGYUAN RENPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2006 ed. Volume: 212 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 0.502kg ISBN: 9780387263038ISBN 10: 0387263039 Pages: 206 Publication Date: 20 October 2005 Audience: Professional and scholarly , Professional & Vocational Replaced By: 9789811047169 Format: Hardback Publisher's Status: Out of Print Availability: Out of stock  Table of ContentsWhy a Theory of Electronic States in Crystals of Finite Size is Needed.- One-Dimensional Semi-infinite Crystals and Finite Crystals.- Mathematical Basis.- Surface States in One-Dimensional Semi-infinite Crystals.- Electronic States in Ideal One-Dimensional Crystals of Finite Length.- Low-Dimensional Systems and Finite Crystals.- Electronic States in Ideal Quantum Films.- Electronic States in Ideal Quantum Wires.- Electronic States in Ideal Finite Crystals or Quantum Dots.- Epilogue.- Concluding Remarks.ReviewsFrom the reviews: The book is devoted to the theory of electronic states in crystal that have finite size. Mathematically, this reduces to spectral theory of Schrodinger operator with truncated periodic potential. ... The book might be interesting to both physicists and mathematicians. (Aleksander Pankov, Zentralblatt MATH, Vol. 1105 (7), 2007) From the reviews: The book is devoted to the theory of electronic states in crystal that have finite size. Mathematically, this reduces to spectral theory of Schrodinger operator with truncated periodic potential. ! The book might be interesting to both physicists and mathematicians. (Aleksander Pankov, Zentralblatt MATH, Vol. 1105 (7), 2007) Author InformationThe author has been working in various areas in the field of theoretical condensed matter physics for more than twenty years and has published more than ninety research papers. Some of them are well cited. Tab Content 6Author Website:Countries AvailableAll regions |
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