Shang Yuan Ren (eds.)0387263039, 9780387263038, 0387263047
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.
Table of contents :
Front Matter….Pages I-XIV
Front Matter….Pages 1-1
Introduction….Pages 3-20
Front Matter….Pages 21-21
Mathematical Basis….Pages 23-47
Surface States in One-Dimensional Semi-infinite Crystals….Pages 49-63
Electronic States in Ideal One-Dimensional Crystals of Finite Length….Pages 65-85
Front Matter….Pages 87-87
Electronic States in Ideal Quantum Films….Pages 89-115
Electronic States in Ideal Quantum Wires….Pages 117-142
Electronic States in Ideal Finite Crystals or Quantum Dots….Pages 143-170
Front Matter….Pages 171-171
Concluding Remarks….Pages 173-182
Back Matter….Pages 183-204
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