氢原子在相干态下的Kepler轨道

KEPLER ORBITS FOLLOWED BY HYDROGEN ATOMS IN COHERENT STATES

通过把库仑问题转换成线性谐振子,可以建立二维和三维氢原子不扩散的相干态,力学量在这些相干态中的平均值给出物理空间中Kepler轨道的运动。在变换为谐振子的空间中引入的非物理时间变量起了重要作用。

Transforming the Coulomb problem to harmonic osillator, we construct nonspreading coherent states for the 2D and 3D hydrogen atom and show that the expectation values of the observables in Q. M. follow the classical Kepler orbits in physical space. The use of a fictitious time variable in the associated auxiliary osillator problem plays a crucial role.