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Electronic States in Crystals of Finite Size: Quantum Confinement of Bloch Waves

✍ Scribed by Shang Yuan Ren (eds.)


Book ID
127431961
Publisher
Springer
Year
2006
Tongue
English
Weight
1 MB
Edition
1
Category
Library
City
New York, NY
ISBN
0387263047

No coin nor oath required. For personal study only.

✦ Synopsis


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.

✦ Subjects


Crystallography


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Exact and general results on the electronic states in one-dimensional crystals bounded at Ο„ and Ο„ + L, where L = Na, N is a positive integer, and a is the potential period, are presented. Corresponding to each energy band of the Bloch wave, there are N -1 states in the finite crystal whose energies