Quantum mechanics for electrical engineers

The book is designed for a one-semester graduate course in quantum mechanics for electrical engineers. It can also be used for teaching quantum mechanics to graduate students in materials science and engineering departments as well as to applied physicists. The selection of topics in the book is based on their relevance to engineering applications. The book provides the theoretical foundation for graduate courses in quantum optics and lasers, semiconductor electronics, applied superconductivity and quantum computing. It covers (along with traditional subjects) the following topics: resonant and Josephson tunneling; Landau levels and their relation to the integer quantum Hall effect; effective mass Schrodinger equation and semi-classical transport; quantum transitions in two-level systems; Berry phase and Berry curvature; density matrix and optical Bloch equation for two-level systems; Wigner function and quantum transport; exchange interaction and spintronic.

Machine generated contents note: 1.Basics of Lagrangian and Hamiltonian Mechanics -- 1.1.What is Quantum Mechanics -- 1.2.The Principle of Least Action and Lagrange Equations -- 1.3.Conservation Laws -- 1.4.Hamiltonian Equations and Poisson Brackets -- Problems -- 2.Fundamentals of Quantum Mechanics -- 2.1.Hilbert Space and Hermitian Operators -- 2.2.Postulates of Quantum Mechanics -- 2.3.Operators of Coordinates and Momentum -- 2.4.Angular Momentum Operators -- 2.5.Hamiltonian Operator -- Problems -- 3.Tunneling -- 3.1.Tunneling Through a Rectangular Barrier -- 3.2.Resonant Tunneling -- 3.3.Josephson Tunneling in Superconductors -- Problems -- 4.Problems with Discrete Energy Spectrum -- 4.1.The Potential Well -- 4.2.The Harmonic Oscillator -- 4.3.The Hydrogen Atom -- 4.4.Landau Levels. Quantum Hall Effect -- 4.5.Model Problem for Energy Gap Formation in Superconductors -- Problems -- 5.Periodic Potentials -- 5.1.Bloch Function and Energy Bands -- 5.2.Kronig-Penney Model

Note continued: 5.3.Effective Mass Schrodinger Equation and Semiclassical Transport -- Problems -- 6.Matrix Form of Quantum Mechanics. Perturbation Theory. Density Matrix -- 6.1.Matrix Form of Quantum Mechanics -…