This book presents an analytical theory on the electronic states in low-dimensional systems and finite crystals recently developed by the author based on a differential equation theory approach. This theory gives some exact and general fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals such as the numbers and the behaviors of electronic states of different types; It provides new insights on some fundamental problems in low-dimensional systems such as surface states, quantum confinement effects etc, some of them are quite different from what are traditionally believed in the solid state physics community.
Electronic States in Crystals of Finite Size
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Editorial Reviews
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"The book is devoted to the theory of electronic states in crystal that have finite size. Mathematically, this reduces to spectral theory of Schrödinger 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 Back Cover
The theory of electronic states in the traditionally solid state physics is essentially a theory of electronic states in crystals of infinite size. However, any real crystal always has a finite size. This book presents an analytical theory on the electronic states in ideal low-dimensional systems and finite crystals recently developed by the author based on a differential equation theory approach. It gives some exact and general fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals and provides new insights on some fundamental problems in low-dimensional systems such as the surface states, quantum confinement effects etc, some of them are quite different from what are traditionally believed in the solid state physics community.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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quantum dots, ideal finite crystal, complete quantum confinement, rectangular bottom face, rectangular top face, band edge wave function, specific band gap, subbands with energies, original energy band, surface state solution, bulk energy band, rectangular quantum wire, traditional solid state physics, quantum film, ideal quantum wire, independent nontrivial solutions, bandedge wave function, lowest band gap, permitted energy bands, finite crystals, band edge state, confined electronic states, primitive lattice vectors, bandedge state, state physics community Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Ideal Finite Crystals, Ideal Quantum Films, Berlin Heidelberg, Academic Press, Ideal Quantum Wires, Mathematical Basis, One-Dimensional Semi-infinite Crystals, Ideal Cavity Structures, John Wiley, Ideal One-Dimensional Crystals of Finite Length, Clarendon Press, Wire Cavities, Finite Vozt, Cambridge University Press, Oxford University Press, American Institute of Physics, The Modern Theory of Solids, Concluding Remarks, Dot Cavities, Basic Considerations New!
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
quantum dots, ideal finite crystal, complete quantum confinement, rectangular bottom face, rectangular top face, band edge wave function, specific band gap, subbands with energies, original energy band, surface state solution, bulk energy band, rectangular quantum wire, traditional solid state physics, quantum film, ideal quantum wire, independent nontrivial solutions, bandedge wave function, lowest band gap, permitted energy bands, finite crystals, band edge state, confined electronic states, primitive lattice vectors, bandedge state, state physics community Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Ideal Finite Crystals, Ideal Quantum Films, Berlin Heidelberg, Academic Press, Ideal Quantum Wires, Mathematical Basis, One-Dimensional Semi-infinite Crystals, Ideal Cavity Structures, John Wiley, Ideal One-Dimensional Crystals of Finite Length, Clarendon Press, Wire Cavities, Finite Vozt, Cambridge University Press, Oxford University Press, American Institute of Physics, The Modern Theory of Solids, Concluding Remarks, Dot Cavities, Basic Considerations New!
Books on Related Topics Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 44
books:
See all 44 books this book cites
- Solid State Physics: Advances in Research and Applications, Vol. 44 by Henry Ehrenreich on 5 pages
- Solid State Physics: Advances in Research and Applications, Vol. 32 by Henry Ehrenreich on 5 pages
- Basic Theory of Surface States (Monographs on the Physics and Chemistry of Materials, 46) by Sydney G. Davison on 4 pages
- The Modern Theory of Solids by Frederick Seitz on page 18, page 47, and page 85
- Principles of Surface Physics (Advanced Texts in Physics) by Friedhelm Bechstedt on page 63, and page 115
See all 44 books this book cites
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