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Springer Tracts in Modern Physics

Electronic States in Crystals of Finite Size

Quantum Confinement of Bloch Waves

Authors: Ren, Shang Yuan

  • 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
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eBook 101,14 €
price for Spain (gross)
  • ISBN 978-981-10-4718-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-981-10-4716-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

About the authors

Shang Yuan REN pursued his graduate study with Professor Kun HUANG at Peking University(PKU), worked on theoretical semiconductor physics after  he  graduated  from  PKU  in  1963.   He  worked  with  Professor  Walter A. Harrison at Stanford University on theoretical solid state physics from 1978-1980, as one of earliest visiting scholars from P. R. China to the United States.  Then he worked as a research associate at University of  Missouri at Kansas City, University of Illinois at Urbana-Champaign.  He was back to the University of Science and Technology of China(USTC) in 1981 and worked as an associate professor and then a professor of physics at USTC. He worked as a visiting professor at University of Notre Dame, and a research professor at Arizona State University.  He joined PKU as a professor of physics since 1994.  He is now an emeritus professor at PKU. He  has  published  about  100  research  articles.   His  research  interests  include Low-Dimensional Physics, Theoretical Solid State Physics, Physics of Semiconductors/Semiconductor Devices, M¨obius Inversions and Their Applications  in  Science  and  Engineering,  Electronic  Structure  of  Biological Macromolecules.

Table of contents (8 chapters)

  • Introduction

    Ren, Shang Yuan

    Pages 3-18

    Preview Buy Chapter 30,19 €
  • The Periodic Sturm–Liouville Equations

    Ren, Shang Yuan

    Pages 21-49

    Preview Buy Chapter 30,19 €
  • Surface States in One-Dimensional Semi-infinite Crystals

    Ren, Shang Yuan

    Pages 51-66

    Preview Buy Chapter 30,19 €
  • Electronic States in Ideal One-Dimensional Crystals of Finite Length

    Ren, Shang Yuan

    Pages 67-87

    Preview Buy Chapter 30,19 €
  • Electronic States in Ideal Quantum Films

    Ren, Shang Yuan

    Pages 91-118

    Preview Buy Chapter 30,19 €

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-981-10-4718-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-981-10-4716-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Electronic States in Crystals of Finite Size
Book Subtitle
Quantum Confinement of Bloch Waves
Authors
Series Title
Springer Tracts in Modern Physics
Series Volume
270
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-4718-3
DOI
10.1007/978-981-10-4718-3
Hardcover ISBN
978-981-10-4716-9
Series ISSN
0081-3869
Edition Number
2
Number of Pages
XVI, 283
Number of Illustrations
42 b/w illustrations
Topics