Time-Dependent Equations of Motion

Payam Nasertayoob, Masoud Sabbaghan

Günther Ludwig

Lorenzo Galleani, Leon W. Cohen

The equation of motion is obtained for the Wigner distribution for time-dependent potentials. It is shown that one cannot obtain an equation of motion for the standard Wigner distribution but one can do so for the fourdimensional distribution of the variables position, momentum, time, and frequency. Three forms are given and it is shown that for time-independent potentials the new form reduces to the equations originally obtained by Wigner and Moyal.

อาทิตย์ หู้เต็ม, ปิยรัตน์ มูลศรี, มัณฑนา ดีนา

รายละเอยดโครงการวจยเรอง การแกไขปญหาสมการการเคลอนทของไฮเซนเบรกของอนภาคทถกบงคบดวยแรงภายนอกทขนอยกบเวลาโดยใชตวดำเนนการสรวงและทำลายสถานะ (Solving the Heisenberg Equation of Motion of the Time-Dependent Forced Harmonic Oscillator Using Time-Dependent Annihilation and Creati...

Michael G Cottam, Zahra Haghshenasfard

А. Н. Тараканов

Nonrelativistic equation of motion of the mass point with internal degrees of freedom in scalar potential U depending on time and relative coordinates, and velocity and accelerations is obtained. Equations of motion lead to equation of balance of energy, whose conservation takes place when potential function does not depend on time and accelerations. The equations obtained are applicable to a motion of the electron, spin of which is interpreted from the viewpoint of classical mechanics.