1.

Record Nr.

UNINA9910254594803321

Autore

Ren Shang Yuan

Titolo

Electronic States in Crystals of Finite Size : Quantum Confinement of Bloch Waves / / by Shang Yuan Ren

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017

ISBN

981-10-4718-9

Edizione

[2nd ed. 2017.]

Descrizione fisica

1 online resource (XVI, 283 p. 42 illus.)

Collana

Springer Tracts in Modern Physics, , 0081-3869 ; ; 270

Disciplina

548.85

Soggetti

Nanoscale science

Nanoscience

Nanostructures

Crystallography

Materials—Surfaces

Thin films

Optics

Electrodynamics

Acoustics

Nanoscale Science and Technology

Crystallography and Scattering Methods

Surfaces and Interfaces, Thin Films

Classical Electrodynamics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Part I Why a Theory of Electronic States in Crystals of Finite Size is Needed -- Introduction -- Part II One-Dimensional Semi-infinite Crystals and Finite Crystals -- The Periodic Sturm-Liouville Equations -- Surface States in One-Dimensional Semi-infinite Crystals -- Electronic States in Ideal One-Dimensional Crystals of Finite Length -- Part III Low-Dimensional Systems and Finite Crystals -- Electronic States in Ideal Quantum Films -- Electronic States in Ideal Quantum Wires -- Electronic States in Ideal Finite Crystals or Quantum Dots -- Part IV Epilogue -- Concluding Remarks --  Appendices.

Sommario/riassunto

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 and improvements, 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.