Problem Solving in Quantum Mechanics

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.

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 EquationOperatorsBound States in NanostructuresCurrent and Energy Flux Densities in NanostructuresDensity of StatesTransfer and Scattering Matrix Formalisms for Modelling Diffusive Quantum TransportPerturbation Theory, Variational Approach and their Applications to Device ProblemsElectrons in a Magnetic or Electromagnetic Field and Associated PhenomenaTime-dependent Perturbation Theory and its ApplicationsOptical Properties of NanostructuresProblems 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.

About the Authors ixPreface xi1 General Properties of the Schrodinger Equation 12 Operators 153 Bound States 474 Heisenberg Principle 805 Current and Energy Flux Densities 1016 Density of States 1287 Transfer Matrix 1668 Scattering Matrix 2059 Perturbation Theory 22810 Variational Approach 24511 Electron in a Magnetic Field 26112 Electron in an Electromagnetic Field and Optical Properties of Nanostructures 28113 Time-Dependent Schrodinger Equation 292A Postulates of Quantum Mechanics 314B Useful Relations for the One-Dimensional Harmonic Oscillator 317C Properties of Operators 319D The Pauli Matrices and their Properties 322E Threshold Voltage in a High Electron Mobility Transistor Device 325F Peierls's Transformation 329G Matlab Code 332Index 343