arXiv subjects

Yoshio Nishiyama

Publications and source records attributed to Yoshio Nishiyama.

3 recordsLinked to original sources

arXiv2014

Trajectory of motion of an electron in the Coulomb scattering in terms of the Schroedinger wave equation and the Hamilton Jacobi equation

The trajectory of motion of a scattering electron in the Coulomb potential from the wave function of the Schroedinger equation is presented in two ways, spherical polar coordinates and Temple coordinates, and is compared with each other and with the corresponding motion of classical mechanics. A good correspondence among dynamics by wave functions and the classical dynamics has been acknowledged by comparing computed examples.Detailed computing examples discriminate the optimal dynamics of the wave function that should be verified by an experiment.

quant-ph↗

arXiv2001

Electron trajectory in the hydrogen atom

A trajectory in the Schroedinger wave for an electron in an attractive Coulomb potential with the dynamical behavior is proposed and illustrated for a scattering and a bound state. The scattering cross section derived from the trajectories is almost exactly equal to that from the usual wave theory. The statistical nature of the result is examined. The period of one cycle in the bound state is exactly equal to that of the corresponding classical motion.

physics.atom-ph↗

arXiv2001

Trajectory of the harmonic oscillator in the Schreodinger wave

A trajectory of a harmonic oscillator obeying the Schreodinger wave equation is exactly derived and illustrated. The trajectory resembles well the classical orbit between the turning points, and also runs through the tunneling region. The dynamics of the `particle' motion and the wave function associated with the motion are proposed. The period of a round trip on the trajectory is exactly equal to that obtained in classical mechanics.

physics.ed-ph↗