Problem Solving in Quantum Mechanics (eBook)

From Basics to Real-World Applications for Materials Scientists, Applied Physicists, and Devices Engineers

Marc Cahay, Supriyo Bandyopadhyay (Autoren)

eBook Download: PDF

2017
John Wiley & Sons (Verlag)
978-1-118-98874-9 (ISBN)

Infos

This topical and timely textbook is a collection of problems for students, researchers, and practitioners interested in state-of-the-art material and device applications in quantum mechanics. Most  problem are relevant either to a new device or a device concept or to current research topics which could spawn new technology. It deals with the practical aspects of the field, presenting a broad range of essential topics currently at the leading edge of technological innovation.

Includes discussion on:

Properties of Schroedinger Equation

Operators

Bound States in Nanostructures

Current and Energy Flux Densities in Nanostructures

Density of States

Transfer and Scattering Matrix Formalisms for Modelling Diffusive Quantum Transport

Perturbation Theory, Variational Approach and their Applications to Device Problems

Electrons in a Magnetic or Electromagnetic Field and Associated Phenomena

Time-dependent Perturbation Theory and its Applications

Optical Properties of Nanostructures

Problems in Quantum Mechanics: For Material Scientists, Applied Physicists and Device Engineers is an ideal companion to engineering, condensed matter physics or materials science curricula. It appeals to future and present engineers, physicists, and materials scientists, as well as professionals in these fields needing more in-depth understanding of nanotechnology and nanoscience.

MARC CAHAY, Spintronics and Vacuum Nanoelectronics Laboratory, University of Cincinnati, USA

SUPRIYO BANDYOPADHYAY, School of Engineering, Virginia Commonwealth University, USA

Inhalt

Cover 1
Title Page 5
Copyright 6
Dedication 7
Contents 9
About the Authors 11
Preface 13
Chapter 1 General Properties of the Schrodinger Equation 25
Chapter 2 Operators 39
Chapter 3 Bound States 71
Chapter 4 Heisenberg Principle 104
Chapter 5 Current and Energy Flux Densities 125
Chapter 6 Density of States 152
Chapter 7 Transfer Matrix 190
Chapter 8 Scattering Matrix 229
Chapter 9 Perturbation Theory 252
Chapter 10 Variational Approach 269
Chapter 11 Electron in a Magnetic Field 285
Chapter 12 Electron in an Electromagnetic Field and Optical Properties of Nanostructures 305
Chapter 13 Time-Dependent Schrodinger Equation 316
Appendix A Postulates of Quantum Mechanics 338
Appendix B Useful Relations for the One-Dimensional Harmonic Oscillator 341
Appendix C Properties of Operators 343
Appendix D The Pauli Matrices and their Properties 346
Appendix E Threshold Voltage in a High Electron Mobility Transistor Device 349
Appendix F Peierls's Transformation 353
Appendix G Matlab Code 356
Index 367
EULA 370

Produkt-Details

• Erscheint lt. Verlag: 14.3.2017
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Chemie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Technik
• Schlagworte: applied physics • Electrical & Electronics Engineering • Elektrotechnik u. Elektronik • Heisenberg uncertainty principle • <p>Quantum Mechanics • Nanomaterialien • nanomaterials • Nanoscale Devices • Nanotechnologie • nanotechnology • perturbation theory • Physics • Physik • Quantenelektronik • Quantenphysik u. Feldtheorie • Quantum Confined Structures</p> • Quantum Electronics • Quantum Physics & Field Theory • scattering theory • Schroedinger equation • transfer matrix • Variational Technique
• ISBN-10: 1-118-98874-4 / 1118988744
• ISBN-13: 978-1-118-98874-9 / 9781118988749