Electronic States in Crystals of Finite Size Quantum Confinement of Bloch Waves / [electronic resource] :
edited by Shang Yuan Ren.
- XIV, 206 p. 31 illus. online resource.
- Springer Tracts in Modern Physics, 212 0081-3869 ; .
- Springer Tracts in Modern Physics, 212 .
Why 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.
ZDB-2-PHA
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.