COALESCENCE OF PHOTONS IN A UNIFORM ELECTROMAGNETIC FIELD.

Louis de Broglie

Lazar Mayants

F. Kh. Chibirova, V. R. Khalilov

An approximate analytic solution for the ground electron state is found to the Schrödinger equation for a combination of a uniform magnetic field and a single attractive -λδ(r) potential. The effect of the magnetic field on this loosely localized electron state is studied. We show that this effect leads to the appearance of the probability current density in some region centered at the point r = 0 as well as changing the localization region of electron in the plane perpendicular to the magnetic field. The effect of a constant crossed uniform electromagnetic field on the loosely localized electron state is also discussed.

S.S. Sannikov

Qixue Wu, 漳州师范学院物理系，漳州 363000

Quantum theory of double-wave function description (DWFD) is applied to describe the motion of spinning electron in both perpendicular uniform electromagnetic field and two-dimensional harmonic oscillator potential field.The time evolution equations of related mechanical quantities are derived.Furthermore,DWFD of spin-zero electron in the same fields is also given,and it is found that their classical limit results correspond to those of classical mechanics.