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Quantum Mechanics: A Simplified Approach
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Quantum Mechanics: A Simplified Approach

Quantum Mechanics: A Simplified Approach

Shabnam Siddiqui

240 pages, parution le 17/10/2018

Résumé

Readers are introduced to the early ideas and experiments that lead to the theory of quantum mechanics in the first two chapters. Every chapter presents quantum ideas in a structured way, with a comparison between quantum and classical concepts. Simulations are provided to aid in the visualization of the quantum phenomenon, and for a meaningful understanding of mathematics. This approach may lead to development of "quantum mechanical intuition", as well as learning mathematical techniques for problem solving. Most importantly, the book is not flooded with numerous topics that makes the reader confused and distracted, rather most important topics are discussed at a more deeper level.

Electromagnetic radiation behaving as particle. Blackbody Radiation. The Photoelectric effect. X-Rays. Particles behaving as wave: concept of matter waves. De Broglie's matter waves. Double-slit Experiment. Heisenberg's Uncertainty Principle. Measurement and Observation. Wave Mechanics: Schrodinger's wave equation of a particle. The Schrodinger equation. Stationary states. Expectation values, Uncertainties and operators. Particle-Wave propagation (wavepacket, phase and group velocities). Differences between quantum mechanics and classical mechanics. Wave Mechanics: Schrodinger's wave equation of a particle- II. Particle in a box-The infinite square well. The finite square well. The free-particle. The potential step. The potential barrier and tunneling. Matrix Mechanics: Formalism. Matrix Algebra. Transformation theory. Matrix theory of the harmonic oscillator. Equation of motion using matrix mechanics. Differences between matrix mechanics and wave equation approaches. Quantum Mechanics in Three Dimensions and the Hydrogen Atom. The Schrodinger Equation in Three Dimensions. The 3D Infinite well. Energy Quantization and Spectral Lines in Hydrogen Atom. The Schrodinger Equation for a Central Force. Quantum Mechanics in three dimensions - II. Applications of Quantum Mechanics

Dr. Shabnam Siddiqui earned her Bachelor of Science (Hons) and Master of Science with a specialization in Plasma Physics from the University of Delhi, New Delhi, India in 1999. She continued her advanced studies in physics from the University of Arkansas, Fayetteville, USA, and earned her PhD in physics in 2006, in the area of Quantum Computing and Quantum Information. After her PhD, she did her postdoctoral studies at NASA Ames Research Center, CA, and the University of Pittsburgh, PA. She also worked at Advanced Diamond technologies a spin-off from Argonne National Laboratory prior to joining Louisiana Tech University as a Research Assistant Professor in 2013. Presently she teaches at the University and her research is focused in the areas of nanomaterials for sensing and energy applications, physics education and fundamentals of quantum mechanics and its applications.

Caractéristiques techniques

  PAPIER
Éditeur(s) Taylor&francis
Auteur(s) Shabnam Siddiqui
Parution 17/10/2018
Nb. de pages 240
EAN13 9781138197268

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