Electronic States in Crystals of Finite Size : Quantum Confinement of Bloch Waves / edited by Shang Yuan Ren.

Springer eBooks

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.

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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