Three Dimensional Time Domain Simulation of the Quantum Magnetic Susceptibility

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“…These equations are evaluated for each cell in the three-dimensional array at each time step, and the alternating of the real and imaginary components allow the simulation of the behavior of Ψ over time. Further details can be found in [9][10][11]16,20]. The Ψ calculations over time can be used to find the eigenstates and eigenenergies [16][17][18][19].…”

“…Further details can be found in [9][10][11]16,20]. The Ψ calculations over time can be used to find the eigenstates and eigenenergies [16][17][18][19]. This work will evaluate a torus with a diameter of 70 angstroms and a tube diameter rof 12 angstroms.…”

“…The structure is created by setting a test function was a good estimation of the ground state, since no other peaks are visible to indicate other eigenenergies. Additional information can be found in [16].…”

“…The FDTD method was used in the determination of the hyperpolarizability of quantum wires in close proximity to an electric dipole [15]. A method was also presented to simulate the magnetic response of a quantum toroid using the quantum magnetic dipole operator [16]. This work develops the FDTD method to calculate the magnetic dipole moment in a grated torus structure with a time-varying magnetic field.…”

“…This paper will briefly describe the FDTD im-plementation of the time-dependent Schrödinger equation and applies it to determine the eigenenergies and eigenstates of a quantum torus [17][18][19]. The FDTD implementation of the magnetic dipole moment operator will also be described [16]. Then a simulation will be presented for a time-harmonic electric field.…”