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This book presents an analytical theory on the electronic states in low-dimensional systems and finite crystals recently developed by the author based on a differential equation theory approach. This theory gives some exact and general fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals such as the numbers and the behaviors of electronic states of different types; It provides new insights on some fundamental problems in low-dimensional systems such as surface states, quantum confinement effects etc, some of them are quite different from what are traditionally believed in the solid state physics community.
List of contents
Preface.- Introduction.- Mathematical basis.- Surface states in one dimensional semi-infinite crystals.- Electronic states in ideal one-dimensional crystals of finite length.- Electronic states in ideal quantum films.- Electronic states in ideal quantum wires.- Electronic states in ideal finite crystals or quantum dots.- Concluding remarks.- Appendix A: Electronic states in one dimensional symmetric finite crystals with a finite V out .- Appendix B: Electronic states in ideal cavity structures.
About the author
The author has been working in various areas in the field of theoretical condensed matter physics for more than twenty years and has published more than ninety research papers. Some of them are well cited.
Summary
The theory of electronic states in crystals is the very basis of modern solid state physics. In traditional solid state physics - based on the Bloch theorem - the theory of electronic states in crystals is essentially a theory of electronic states in crystals of in?nite size.
