Electronic states in crystals of finite size : quantum confinement of Bloch waves

Author(s)

    • Ren, Shang Yuan

Bibliographic Information

Electronic states in crystals of finite size : quantum confinement of Bloch waves

Shang Yuan Ren

(Springer tracts in modern physics : Ergebnisse der exakten Naturwissenschaften / editor, G. Höhler, v. 270)

Springer, c2017

2nd ed.

Available at  / 4 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

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.

Table of Contents

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.

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Details

  • NCID
    BB24781746
  • ISBN
    • 9789811047169
  • LCCN
    2017946639
  • Country Code
    si
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Singapore
  • Pages/Volumes
    xvi, 283 p.
  • Size
    25 cm
  • Parent Bibliography ID
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