湖南师范大学自然科学学报
湖南師範大學自然科學學報
호남사범대학자연과학학보
ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NORMALIS HUNANENSIS
2009年
4期
42-50
,共9页
吴毅%海文华%鲁耿彪%孟惠
吳毅%海文華%魯耿彪%孟惠
오의%해문화%로경표%맹혜
囚禁电子%精确解%绝热%波包链
囚禁電子%精確解%絕熱%波包鏈
수금전자%정학해%절열%파포련
trapped electron%exact solution%adiabatic%wave-packet trains
研究了单个囚禁电子与外场绝热相互作用的量子系统.利用解析方法,得到了含时薛定谔方程的精确解,它描述了该量子系统一系列精确的压缩相干态.利用精确的量子态,计算了单电子的坐标、动量和能量期待值,展示了绝热因子对它们的影响,并讨论了如何通过对绝热参数的调制来实现对绝热量子态的控制.
研究瞭單箇囚禁電子與外場絕熱相互作用的量子繫統.利用解析方法,得到瞭含時薛定諤方程的精確解,它描述瞭該量子繫統一繫列精確的壓縮相榦態.利用精確的量子態,計算瞭單電子的坐標、動量和能量期待值,展示瞭絕熱因子對它們的影響,併討論瞭如何通過對絕熱參數的調製來實現對絕熱量子態的控製.
연구료단개수금전자여외장절열상호작용적양자계통.이용해석방법,득도료함시설정악방정적정학해,타묘술료해양자계통일계렬정학적압축상간태.이용정학적양자태,계산료단전자적좌표、동량화능량기대치,전시료절열인자대타문적영향,병토론료여하통과대절열삼수적조제래실현대절열양자태적공제.
By using an analytical method,exact solutions of the equation for a single tapped electron adiabatically interacting with an external field is obtained.Such exact solutions describe a aeries of exact squeezed coherent states of this quantum system,whose configuration of probability density is breathing and oscillatory wave-packets.The time evolutions of the expectation of coordinate,momentum and energy are greatly affected by the adiabatic factor in a time interval.Therefore,manipulation of quantum state can be realized by suitably adjusting adiabatic parameters.