Quantum Mechanics: For Scientists and Engineers

This book provides a comprehensive coverage of quantum mechanics, from the Rutherford-Bohr model to Heisenberg's matrix mechanics and Dirac's relativistic theory. It discusses various approaches, such as the path integral approach, quantum field theory, and perturbation theory, and applies them to topics like quantum computers, quantum noise, scattering theory, and superconductivity. The problem-solution format makes it useful for physicists and engineers interested in developing unified field theories and designing quantum gates.

Format: Hardback
Length: 208 pages
Publication date: 01 October 2021
Publisher: Taylor & Francis Ltd

This comprehensive book delves into the realm of quantum mechanics, encompassing the advancements that have occurred throughout the early 20th century and continuing to the present day. We begin by exploring the Rutherford-Bohr model of the atom, followed by Schrodinger's wave mechanics, which is applied to calculate the energy spectrum of a particle confined within a box. We then delve into the harmonic oscillator and the fascinating world of the hydrogen atom. Heisenberg's matrix mechanics and its profound connection with Schrodinger's wave mechanics are explored, as well as the interaction picture of quantum mechanics. Dirac's relativistic theory of the electron introduces the concept of the electron's spin as a relativistic effect when it interacts with an external electromagnetic field. Feynman's path integral approach to non-relativistic quantum mechanics offers a captivating interpretation as a sum over paths, leading to the derivation of classical mechanics from its limit as the Planck constant approaches zero. This book also presents methods for computing the spectra of the Dirac Hamiltonian in a radial potential, as well as quantum field theory, which has been developed by Feynman, Schwinger, Tomonaga, and Dyson to describe the interaction between electrons, positrons, and photons through propagators. Additionally, we introduce time-independent and time-dependent perturbation theory in quantum mechanics, with applications to quantum gate design for quantum computers. This forms a significant part of the author's research group's focus, known as Quantum Noise. Furthermore, we explore quantum noise introduced into the Schrodinger and Dirac equations based on the Hudson-Parthasarathy quantum stochastic calculus in Boson Fock space, scattering theory and wave operators with applications to quantum gate design, and some aspects of second quantization, such as the interpretation of Boson Fock space in terms of particle creation and annihilation. This book is a valuable resource for anyone seeking to delve deeper into the complex and fascinating world of quantum mechanics.

Weight: 594g
Dimension: 260 x 181 x 20 (mm)
ISBN-13: 9781032117645