Overview

Continuing size reduction in mesoscopic and nanoscopic electronic, photonic, and plasmonic devices makes the employment of quantum physics (QP) and quantum electrodynamics (QED) inevitable. Engineers at the forefront of these fields increasingly need to have a working knowledge of QP and, more importantly, feel confident to manoeuver through the intricate calculations involved. However, electrical engineers and applied physicists are typically unfamiliar with the sophisticated mathematical apparatus in QP and QED, which is generally perceived to be formidably abstract. The Mathematical Quantum Physics for Engineers and Technologists volumes aim to explain the mathematical foundation of QP and QED to engineers using an engineer's mindset as the starting point, and following a new line of thinking based on clarity and obviousness. Written for an audience of researchers and advanced students in electrical engineering, computer science, applied mathematics and applied physics, the Mathematical Quantum Physics for Engineers and Technologists volumes guide readers towards acquiring a solid understanding of the mathematical intricacies of quantum physics and quantum electrodynamics. Volume 1 covers topics including the resolution of identity, generalized functions, bases, dual bases, frames, dual frames, generalized transforms and inverse transforms, operator gymnastics, canonical commutation relationships, standard and generalized creation and annihilation operators.

Full Product Details

Author:   Alireza Baghai-Wadji (Professor Emeritus of Electronics and Computational Engineering, University of Cape Town, South Africa)
Publisher:   Institution of Engineering and Technology
Imprint:   Institution of Engineering and Technology
ISBN:  

9781839538667

ISBN 10:   183953866
Pages:   325
Publication Date:   08 August 2023
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

"Chapter 1: The tale of ""1"" and ""x"" Chapter 2: The resolution of identity Chapter 3: Operator gymnastic Chapter 4: Generalized creation and annihilation operators"

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Author Information

Alireza Baghai-Wadji is a professor emeritus of electronics and computational engineering at the University of Cape Town, South Africa. He has occupied academic, executive and principal engineering consulting positions on five continents. Currently, he is promoting meso- and nanoscopic device modelling and simulation across a consortium of universities and high-tech industries. His contributions in mathematical physics include the diagonalization of PDEs, Green's function-induced generalized Dirac delta functions, algebraic-, exponential regularization techniques for taming infinities in near-fields, and the discovery of the Discrete Taylor Transform and Inverse Transform.

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