Three Dimensional Time Domain Simulationof the Quantum Magnetic Dipole

Abstract

A method is presented to simulate the magnetic response of a quantum toroid for the purpose of optimizing the nonlinear characteristics of an induced magnetic dipole. This is a true three-dimensional simulation based on the direct implementation of the time-dependent Schrödinger equation. We demonstrate that the expectation value the quantum magnetic dipole operator returns results consistent with a classical electron in a loop under the influence of a magnetic field.

Q-BOR–FDTD method for solving Schrödinger equation for rotationally symmetric nanostructures with hydrogenic impurity

“…The FDTD method [26] is a numerical technique that has been used in several branches of Physics. It has been extensively employed in various applications in electrodynamics, nano-optics, and nanophotonics for solving Maxwell's equations and also in quantum mechanics for solving the Schrödinger equation [27][28][29][30][31][32][33][34][35][36][37]. This kind of the FDTD application has been established by Sullivan et al (2001), and Soriano et al (2004), to study the eigenvalues, eigenstates and dynamics of several quantum nanostructures [35], such as, quantum well wires [34], spin evolution and two electrons in a quantum dot [36,37].…”