Lecture Notes in Computational Science and Engineering

Multi-Band Effective Mass Approximations

Advanced Mathematical Models and Numerical Techniques

Editors: Ehrhardt, Matthias, Koprucki, Thomas (Eds.)

  • First book on this subject at the interface of mathematics and physics
  • Many interdisciplinary aspects covered ranging from the proper modelling to the accurate and stable numerical solution
  • Describes concisely in 8 chapters the state-of-the art in modelling and numerical simulations of Multiband Effective Mass Approximations​
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  • ISBN 978-3-319-01427-2
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Hardcover $129.00
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  • ISBN 978-3-319-01426-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-34882-7
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum mechanical effects.

The goal of numerical simulations using quantum mechanical models in the development of semiconductor nano structures is threefold: First they are needed for a deeper understanding of experimental data and of the operational principle. Secondly, they allow us to predict and optimize in advance the qualitative and quantitative properties of new devices in order to minimize the number of prototypes needed. Semiconductor nano structures are embedded as an active region in semiconductor devices. Thirdly and finally, the results of quantum mechanical simulations of semiconductor nano structures can be used with upscaling methods to deliver parameters needed in semi-classical models for semiconductor devices, such as quantum well lasers. This book covers in detail all these three aspects using a variety of illustrative examples.

Readers will gain detailed insights into the status of the multiband effective mass method for semiconductor nano structures. Both users of the kp method as well as advanced researchers who want to advance the kp method further will find helpful information on how to best work with this method and use it as a tool for characterizing the physical properties of semiconductor nano structures.

The book is primarily intended for graduate and Ph.D. students in applied mathematics, mathematical physics and theoretical physics, as well as all those working in quantum mechanical research or the semiconductor / opto-electronic industry who are interested in new mathematical aspects.

Table of contents (8 chapters)

  • Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals

    Barletti, Luigi (et al.)

    Pages 3-56

  • Electronic Properties of III-V Quantum Dots

    Schliwa, Andrei (et al.)

    Pages 57-85

  • Symmetries in Multiband Hamiltonians for Semiconductor Quantum Dots

    Tomić, Stanko (et al.)

    Pages 87-126

  • Finite Elements for k⋅p Multiband Envelope Equations

    Veprek, Ratko G. (et al.)

    Pages 129-154

  • Plane-Wave Approaches to the Electronic Structure of Semiconductor Nanostructures

    O’Reilly, Eoin P. (et al.)

    Pages 155-189

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-01427-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-01426-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-34882-7
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Multi-Band Effective Mass Approximations
Book Subtitle
Advanced Mathematical Models and Numerical Techniques
Editors
  • Matthias Ehrhardt
  • Thomas Koprucki
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
94
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01427-2
DOI
10.1007/978-3-319-01427-2
Hardcover ISBN
978-3-319-01426-5
Softcover ISBN
978-3-319-34882-7
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XVI, 318
Number of Illustrations and Tables
21 b/w illustrations, 62 illustrations in colour
Topics