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Mathematical Quantum Physics for Engineers and Technologists. Volume 2: Governing equations

Mathematical Quantum Physics for Engineers and Technologists

Volume 2: Governing equations  

by Alireza Baghai-Wadji

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 2 covers topics including the ideal and perturbed quantum harmonic oscillator, the displacement operator, squeezed states, single electron systems, the Schrödinder picture, the Heisenberg picture, the Interaction picture, the Feynman path integral, the standard and generalized Trotter product formula, and quantum electrodynamics.

About the Author

Alireza Baghai-Wadji is professor emeritus of Electronic and Computational Engineering at the University of Cape Town, South Africa. He has occupied research and principal engineering consulting positions on five continents. Currently, he is promoting meso and nanoscopic device modeling 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 Discrete Taylor Transform and Inverse Transform.

Publication Year: 2023

Pages: 374

ISBN-13: 978-1-83953-868-1

Format: HBK

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