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-
Electronic States in Crystals of Finite Size: Quantum Confinement of Bloch Waves
β 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
- DOI
- 10.1007/b137381
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β¦ 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.
β¦ Subjects
Crystallography
π SIMILAR VOLUMES
## Abstract This paper gives an abbreviated method for the calculation of the density of states of a crystal on the basis of that band theory in which the crystal electron states are represented by the standinglike wave functions classified according to the pointβgroup symmetry species. The crystal
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