Basic Concepts of Partial Differential Equations

Basic Concepts of Partial Differential Equations

by Lawrence Scott

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ISBN 9781836592082
Publisher Chapman Press
Copyright Year 2025
Price £172.00

About This Book

Quantum mechanics plays a foundational role in applied nanotechnology, as it governs the behavior of matter at the atomic and subatomic levels-precisely the scale at which nanotechnology operates. Unlike classical physics, which cannot accurately describe phenomena at the nanoscale, quantum mechanics provides the necessary principles to understand and predict how electrons, atoms, and molecules behave. Key quantum concepts such as wave-particle duality, quantization of energy levels, tunneling, and superposition are critical in designing and controlling nanoscale devices and materials. For instance, in semiconductor nanodevices like quantum dots and nanowires, the discrete energy levels of electronsdictated by quantum confinement-allow for unique optical and electronic properties not found in bulk materials. Tunneling, a purely quantum effect, is utilized in scanning tunneling microscopes (STM) to image surfaces at the atomic level. Similarly, quantum behavior in carbon nanotubes and graphene leads to extraordinary electrical conductivity, making them valuable in next-generation electronics. As nanotechnology continues to evolve, the integration of quantum mechanics becomes increasingly vital. Engineers and researchers must understand quantum principles to effectively design nanoscale transistors, sensors, and quantum computing components. Ultimately, mastering quantum mechanics is essential for unlocking the full potential of applied nanotechnology in modern science and engineering. Quantum Mechanics for Applied Nanotechnology explores the essential quantum principles that drive innovation and functionality at the nanoscale. Contents: 1. Quantum Nanoscale Devices, 2. Molecular Quantum Mechanics, 3. The Schrodinger Equation in Quantum Mechanics, 4. Measuring the State of Quantum System, 5. Relativity Principle and Quantum Field Theory, 6. Quantum Structures, 7. Quantum Mechanics and Wave Mechanics, 8. Quantum Consciousness, 9. Nanoelectronic Devices, 10. Computational Nanotechnology.