Electronic States in Crystals of Finite Size
Quantum Confinement of Bloch Waves
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Beschreibung
This book presents an analytical theory of the electronic states in ideal low dimensional systems and finite crystals based on a differential equation theory approach. It provides precise and fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals, and offers new insights into some of the basic problems in low-dimensional systems, such as the surface states and quantum confinement effects, etc., some of which are quite different from what is traditionally believed in the solid state physics community. Many previous predictions have been confirmed in subsequent investigations by other authors on various relevant problems. In this new edition, the theory is further extended to one-dimensional photonic crystals and phononic crystals, and a general theoretical formalism for investigating the existence and properties of surface states/modes in semi-infinite one-dimensional crystals is developed. In addition, there are various revisions andimprovements, including using the Kronig-Penney model to illustrate the analytical theory and make it easier to understand. This book is a valuable resource for solid-state physicists and material scientists.
Presents an analytical theory of the electronic states in ideal low-dimensional systems and finite crystals based on a theory of differential equations approach
Demonstrates that the existence of the boundary-dependent states is a fundamental distinction of the quantum confinement of Bloch waves
Introduces a general and more applicable theoretical formalism based on the theory of periodic Sturm-Liouville equations for investigating one-dimensional photonic crystals and phononic crystals
Provides a general theoretical formalism for investigating the existence and properties of surface states/modes in semi-infinite one-dimensional crystals
Presents an analytical theory of the electronic states in ideal low-dimensional systems and finite crystals based on a theory of differential equations approach Demonstrates that the existence of the boundary-dependent states is a fundamental distinction of the quantum con?nement of Bloch waves Introduces a general and more applicable theoretical formalism based on the theory of periodic Sturm-Liouville equations for investigating one-dimensional photonic crystals and phononic crystals Provides a general theoretical formalism for investigating the existence and properties of surface states/modes in semi-infinite one-dimensional crystals Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras
Autor*in
Shang Yuan Ren
Themen in »Electronic States in Crystals of Finite Size«
Effective Mass Approximation Kronig-Penney Model One-dimensional phononic crystals One-dimensional photonic crystals Quantum confinement of Bloch waves Truncation of periodicity