Realizing the Motions of a Quantum Wave Function by Using Visualization Tools

Bernd Thaller

Eamonn F. Healy

Akira Tonomura

Hideo Tsuru, Takeshi Kobayashi

Wave packet motions of a single electron in harmonic potentials or a magnetic field are obtained analytically. The phase of the wave function which depends on both time and space is also presented explicitly. The probability density of the electron changes its width and central position periodically. These results are visualized using computer animation techniques.

Faramarz Rahmani, Mehdi Golshani

In this study, we use the concept of Bohmian trajectories to present a dynamical and deterministic interpretation for the gravity-induced wave function reduction. We shall classify all possible regimes for the motion of a particle, based on the behavior of trajectories in the ensemble and under the influence of quantum and gravitational forces. In the usual approaches all the information is obtained from the wave function evolution. But, on the basis of Bohm’s deterministic quantum theory, we can investigate the motion of the particle during the reduction processes. This leads to analytical and numerical results for the reduction time and equation of motion of the particle. In this regard, a new visualization will be provided for the reduction time.

Jian Liu

In consideration of the abstract characteristics of wave function ofhydrogen atom in quantum mechanics, making use of the MATLAB to plot spatial distribution,pointing out the software of MATLAB is a valid tool to visualization of quantum mechanics.