鲁东大学学报:自然科学版
魯東大學學報:自然科學版
로동대학학보:자연과학판
Ludong University Journal (Natural Science Edition)
2012年
3期
235-241
,共7页
受迫阻尼谐振子%线性量子变换%压缩效应
受迫阻尼諧振子%線性量子變換%壓縮效應
수박조니해진자%선성양자변환%압축효응
forced damped harmonic oscillator%linear quantum transformation%squeezing effect
运用广义线性量子变换普遍理论求解一维含时受迫阻尼谐振子,给出了系统演化算符、传播子、波函数的严格表达式,研究了坐标和动量的期望值和量子涨落,结果表明阻尼谐振子对于坐标和动量都有压缩效应,阻尼越强压缩效应越强.
運用廣義線性量子變換普遍理論求解一維含時受迫阻尼諧振子,給齣瞭繫統縯化算符、傳播子、波函數的嚴格錶達式,研究瞭坐標和動量的期望值和量子漲落,結果錶明阻尼諧振子對于坐標和動量都有壓縮效應,阻尼越彊壓縮效應越彊.
운용엄의선성양자변환보편이론구해일유함시수박조니해진자,급출료계통연화산부、전파자、파함수적엄격표체식,연구료좌표화동량적기망치화양자창락,결과표명조니해진자대우좌표화동량도유압축효응,조니월강압축효응월강.
The generalized linear quantum transformation theory is used to solve one-dimensional forced damped harmonic oscillator. The rigorous expressions of the system evolution operator, the propagator and wave function are given, and the expected value and quantum fluctuation of coordinate and momentum are calculat- ed. The results show that the damped harmonic oscillator have a compression effect to coordinate and momen- tum,and the stronger the damping,the stronger the compression effect.