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 Vout.- Appendix B: Electronic states in ideal cavity structures.
(source: Nielsen Book Data)
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. (source: Nielsen Book Data)