Anisotropic harmonic oscillator in a static electromagnetic field
Anisotropic harmonic oscillator in a static electromagnetic field
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静态电磁场中的各向异性谐振子
DOI：
10.1088/0253-6102/38/6/667
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Q. Lin
中科院分区：
文献类型：
--
作者：
Q. Lin
研究了非相对论带电粒子在各向异性谐振子势和均匀静态电磁场中的运动。考虑了电磁场的几种组态。在大多数情况下，薛定谔方程可以解析求解。明确地得到了能级和波函数。在某些情况下，得到的基态不是最小波包，虽然它是高斯型的。详细讨论了相干态和压缩态及其时间演化。
A nonrelativistic charged particle moving in an anisotropic harmonic oscillator potential plus a homogeneous static electromagnetic field is studied. Several configurations of the electromagnetic field are considered. The Schr¨odinger equation is solved analytically in most of the cases. The energy levels and wave functions are obtained explicitly. In some of the cases, the ground state obtained is not a minimum wave packet, though it is of the Gaussian type. Coherent and squeezed states and their time evolution are discussed in detail.