A high-order finite-difference time-domain (HO-FDTD) method is adopted to deal with the Schrödinger equations which is time-dependent. Update equations for HO-FDTD (2, 4) scheme have been presented ...

We wanted to design a tool that lets students explore the evolution of the time-dependent, one-dimensional wave function Ψ (x, t) on any time-independent potential surface V (x), hence the “sandbox” ...

For the first time, researchers have demonstrated a prototype lidar system that uses quantum detection technology to acquire 3D images while submerged underwater. The high sensitivity of this ...

Imperial physicists have recreated the famous double-slit experiment, which showed light behaving as particles and a wave, in time rather than space.

Until now, solving the Schrödinger equation proved immensely difficult. In order to solve the Schrödinger equation, researchers needed to correctly model a wave function, a mathematical object capable ...

The harmonic oscillator, the infinite square well, and the hydrogen atom are some examples of problems that can be solved using the Hamiltonian operation and the Schrodinger equation. Time Independent ...