Modeling the Quantum Effects in Electromagnetic Devices

Quantum mechanics is playing an intriguing role in the area of nanotechnology, from atomic level to solid state systems. It is leading to new multidisciplinary research directions and, as a result, new devices and breakthroughs in the fields of engineering and biosciences. The concepts of quantum mechanics have been proven theoretically, numerically and experimentally. Schrödinger equation is one of the fundamental equations to model and simulate the quantum effects. It is a well established fact that Maxwell equations have been proven to be robust, accurate and efficient when modeling and simulating micro- and macro-devices. In this chapter, we first show how time-dependent Schrödinger equation can be coupled with time-dependent Maxwell equations to account for quantum effects that can embellish the classical electromagnetic phenomena. Following this, we apply different numerical methods to solve the above coupled equations to simulate problems associated with different applications in different domains.