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介观互感耦合阻尼LC并联电路的量子化能谱 总被引:2,自引:1,他引:1
对介观互感耦合阻尼并联LC电路作双模耦合阻尼谐振子处理,将其量子化,通过三次幺正变换,将体系的哈密顿量对角化,在此基础上给出了体系的能谱。 相似文献
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介观互感耦合阻尼并联双谐振电路的量子涨落 总被引:5,自引:1,他引:4
对介观互感耦合阻尼并联电路作双模耦合阻尼谐振子处理,将其量子化.通过三次幺正变换,将体系的哈密顿量对角化.在此基础上给出了体系的本征能谱,研究了Fock态、真空态下各回路电流和电压的量子涨落. 相似文献
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三模坐标-动量耦合量子谐振子哈密顿量对角化的新方法 总被引:3,自引:3,他引:0
利用二次型理论构造一个幺正矩阵进行表象变换,将|x〉表象中的三模坐标-动量耦合量子谐振子体系的哈密顿量对角化,这不仅提供了一种解决该类问题的一般数学方法,同时对培养和提升学生运用数学工具解决复杂物理问题的能力也具有积极的指导作用. 相似文献
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目前不变量本征算符方法已成功地解决了某些量子系统哈密顿量能级问题.对于二维耦合量子谐振子,利用这一方法可以非常简捷有效地给出其能级信息,而不需要使其哈密顿量对角化.计算结果表明,不同耦合形式的二维耦合量子谐振子的能级间隔是不同的. 相似文献
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<正>在曲照军等的文章中[1]作者声称他们能够解决腔场影响原子问题.在此我们显示出既然他们用于得到相互作用表象的哈密顿的变换不完备所以他们没有解决该问题.我们知道此相互作用的哈密顿量可表示为(h=1)H=ωa■a+ωmb■b+ω0/2σz+g1(a■σ_+σ+a)+g2a■a(b■+b),(1)这里a和a■是单模量子化场的产生与湮灭算符,而b和b■为量子谐振子的产生与湮灭算符,g1是单模辐射场与原子的乡耦合系数,g2是单模辐射场与振动边界的耦合常数.曲照军等人把哈密顿量(1)分解成自由和相互作用两个哈密顿量H=H0+HI.这里 相似文献
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基于正弦灰度变换的X光图像增强 总被引:11,自引:0,他引:11
介绍了灰度变换法的几种形式 ,提出了一种正弦非线性变换法 ,对三幅数字X光医学图像进行了处理 ,获得了令人满意的对比度增强效果 ,证明该方法有效而实用 相似文献
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It is shown that starting from a Fourier transform relation one can derive, in a surprisingly simple manner, all the well-known
results of lattice summation, that have been obtained so far by a complicated use of the Ewald theta transformation. We show
that the Ewald transformation follows directly from the Fourier transform relation. 相似文献
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Flemming Jørgensen 《Molecular physics》2017,115(1-2):190-213
ABSTRACTThe now classic Foldy–Wouthuysen transformation (FWT) was introduced as successive unitary transformations. This fundamental idea has become the standard in later developments such as the Douglas–Kroll transformation (DKT) – but it is not the only possibility. FWT can be seen as a simple special case of the general Van Vleck transformation (VVT) which besides the successive version has another, known as the canonical because of a series of nice mathematical properties discovered gradually over time. The aim of the present paper is to compare the two approaches – which give identical results in the lower orders, but not in the higher. After having recapitalised both, we apply them to Dirac's Hamiltonian for the electron in a constant electromagnetic field, written with so few assumptions about the operators that the mathematical techniques stand out separated from the terminology of relativistic quantum mechanics. FWT for a free particle is dealt with by a recent geometric approach to VVT. The original FWT is continued through the next non-zero orders. DKT is considered with special weight on equivalent formulations of the generalised and the optimised forms introduced by Wolf, Reiher and Hess. 相似文献
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The spontaneous transformation of the unstable tetragonal phase II to the stable twined hexagonal phase I of isotactic polybutene – 1 at room temperature and atmospheric pressure was shown to proceed by one of three different mechanisms with these mechanism being neutral (N), increasing (P) or decreasing (M) the phase transformation rate. The rate was shown to be influenced by environmental effects. The environment can increase or decrease the phase transformation rate and, to a smaller extent, influence the sample crystallinity and the amount of the residual, untransformed phase II. The transformation rate was principially affected by the segmental mobility, increased by solvents or decreased by some chemical compounds or groups (e.g.–CH2-CH2 – as a comonomer). The transformation rate of the M process starts after an induction period during which the transformation nuclei are blocked. 相似文献
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介绍了等离子体椭圆截面的Abel逆变换方法,并和圆截面的Abel逆变换方法进行了比较。给定一个探测阵列对一个辐射源函数的测量结果,分别用Barr方法、等值同心圆方法和幂级数方法进行了椭圆逆变换,结果表明该方法的可靠性可应用于实验数据处理中。 相似文献
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给出构造Hamilton系统的准正则变换的方法,首先将Hamilton系统变换成Birkhoff系统,然后将Birkhoff系统作规范变换并实现Hamilton化. 指出对一个Hamilton系统存在多种准正则变换. 举例说明所得结果的应用.
关键词:
Hamilton系统
准正则变换
Birkhoff系统
规范变换 相似文献