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为了研究具有相互作用势和运动耦合的两个非全同的量子谐振子体系的动力学问题,利用有序算符乘积内的积分技术,建立了一种两粒子体系的组合坐标新表象|η1,η2〉,构造了一个双模压缩算符U并分析了其压缩特性. 应用组合坐标新表象严格求解了具有相互作用势和运动耦合的两个非全同的量子谐振子体系的动力学问题. 这为研究复杂耦合量子谐振子体系提供了一个有效途径.
关键词:
有序算符乘积内的积分技术
组合坐标表象
双模压缩算符
幺正矩阵 相似文献
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强调双模厄米多项式在量子光学理论中的地位,认为它是研究连续变量纠缠态和压缩态的必要函数,具有明确的物理意义。利用双模厄米多项式,结合有序算符内的积分技术,给出了若干新的算符恒等式和互逆的积分变换公式,证明了压缩双模粒子数态恰好是双变量厄米多项式激发压缩真空态。 相似文献
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运用有序算符内积分(IWOP)技术,构建了(x)2—p1和.(x)1—P2的共同本征态|η〉,并分析了该新纠缠表象的Schmidt分解形式.另外,我们还得到纠缠态|η>的共轭态|ξ〉,同时计算了它们的内积.最后我们给出了新双模压缩算符S2=μ∫d2η/π|μη〉〈η|的显式,并分析了其压缩特性. 相似文献
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基于对坐标表象、动量表象及相干态表象完备性关系式的正规乘积内纯高斯积分形式的分析,阐述了利用有序算符内的积分技术构建量子力学新表象的思路和方法,并具体以单模坐标-动量中介表象、双模纠缠态表象和双模相干纠缠态表象的构建为例进行了论述. 相似文献
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Based on the Fan-Hu's formalism, i.e., the tomogram of two-mode quantum states can be considered as the module square of the states' wave function in the intermediate representation, which is just the eigenvector of the Fresnel quadrature phase, we derive a new theorem for calculating the quantum tomogram of two-mode density operators, i.e., the tomogram of a two-mode density operator is equal to the marginal integration of the classical Weyl correspondence function of F2+ρF2, where F2 is the two-mode Fresnel operator. An application of the theorem in evaluating the tomogram of an optical chaotic field is also presented. 相似文献
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用耦合簇理论及相关一致五重基研究SiH$lt;sub$gt;2$lt;/sub$gt;($lt;i$gt;X$lt;/i$gt;$lt;sup$gt;1$lt;/sup$gt;$lt;i$gt;A$lt;/i$gt;$lt;sub$gt;1$lt;/sub$gt;)自由基的解析势能函数 下载免费PDF全文
运用单双迭代三重激发耦合簇理论和相关一致五重基对SiH2的基态结构进行了优化, 并在优化结构的基础上进行了离解能和振动频率的计算. 结果表明: SiH2的基态为C2v结构, 平衡核间距RSi—H= 0.15163 nm, H—Si—H键的键角α=92.363°, 离解能De(HSi—H)=3.2735 eV, 频率ν1(a1)=1020.0095 cm-1, ν2(a1)=2074.8742 cm-1, ν3(a1)=2076.4762 cm-1. 这些结果与实验值均较为相符. 对H2的基态使用优选出的cc-pV6Z基组、对SiH的基态使用优选出的aug-cc-pV5Z基组进行几何构型与谐振频率的计算并进行单点能扫描, 且将扫描结果拟合成了解析的Murrell-Sorbie函数. 与实验结果及其他理论计算结果的比较表明, 本文关于SiH自由基光谱常数(De,Re, ωe, Be, αe和ωeχe)的计算结果达到了很高的精度. 采用多体项展式理论导出了SiH2(C2v, X1A1)自由基的解析势能函数, 其等值势能图准确再现了它的离解能和平衡结构特征. 同时还给出了SiH2(C2v, X1A1)自由基对称伸缩振动等值势能图中存在的两个对称鞍点, 对应于SiH+H→SiH2反应, 势垒高度为0.5084 eV.
关键词:
2')" href="#">SiH2
Murrell-Sorbie函数
多体项展式理论
解析势能函数 相似文献
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Using two-colour visible (Vis)–ultraviolet (UV) photoionisation and pulsed field ionisation–photoelectron (PFI–PE) methods, we have obtained cleanly rotationally resolved photoelectron spectra for ZrO+(X 2Δ3/2,5/2; v+ = 0, 1, and 2). The rotation assignment of these state-to-state Vis–UV–PFI–PE spectra has allowed the unambiguous determination of the ground state term symmetry for ZrO+(X) to be 2Δ3/2, and the adiabatic ionisation energy of 90Zr16O, IE(90Zr16O) = 54,948.3(8) cm?1 [6.81272(10) eV]. The symmetry of the ionic ZrO+(X 2Δ3/2) ground state determined here disagrees with that reported in previous experiments. The rotational and vibrational constants determined in this experiment for the ionic 90Zr16O+(X 2Δ3/2) ground state are: Be+ = 0.4343(8) cm?1 and αe+ = 0.0019(5) cm?1, and ωe+ = 991.2(8) cm?1 and ωe+xe+ = 3.5(8) cm?1; and those for the ionic 90Zr16O+(X 2Δ5/2) excited spin-orbit state are: Be+ = 0.4357(6) cm?1 and αe+ = 0.0022(4) cm?1, and ωe+ = 991.9(8) cm?1 and ωe+xe+ = 3.6(8) cm?1, respectively. Based on the latter Be+ value, the equilibrium bond distances are determined to be re+ = 1.691(2) Å for 90Zr16O+(X 2Δ3/2) and re+ = 1.688(1) Å for 90Zr16O+(X 2Δ5/2). The IE(ZrO) along with the spectroscopic constants obtained here are valuable for benchmarking the ab initio quantum chemical calculations for energetic and structural predictions of ZrO/ZrO+. 相似文献
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M. D. Saksena M. N. Deo K. Sunanda S. H. Behere Ashok Jadhav 《Indian Journal of Physics》2011,85(3):485-495
The emission spectrum of the A
2
Π
r
-X
2
Σ
+ band system of MgCl molecule (360–380 nm) has been recorded on BOMEM DA8 Fourier transform spectrometer at an apodized resolution
of 0.035 cm−1. The spectra have been excited under flowing conditions in a demountable stainless steel hollow cathode lamp (400 V, 250
mA) containing anhydrous MgCl2 and Ar. The resulting spectra are very intense and the 0-0, 1-1, 1-0 bands of A
2
Π
1/2-X
2
Σ
+ sub-transition and the 0-0 band of A
2
Π
3/2-X
2
Σ
+ sub-transition have been rotationally analyzed. Improved molecular constants have been derived using a least-squares fit
program in which optical data of earlier analyzed 0-1 and 0-2 bands (A
2
Π
1/2-X
2
Σ
+) was also included. The Λ-doubling constants in the v′ = 0, 1 levels of the A
2
Π
1/2 sub-state are as expected, i.e. p
1 > p
0, where as it is found that the spin-doubling constants of the v″ = 0, 1 and 2 levels of the ground state X
2
Σ
+, decrease with the increase in v, i.e.
γ
0 > γ
1 > γ
2. This is indicative of the presence of some nearby state, influencing the spin-doubling. 相似文献
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Laser-induced fluorescence (LIF) optical spectra of theD1Π–X1Σ+system of the NaK molecule have been reinvestigated. In this new analysis, quantum numbers have been assigned to 3000 selected fluorescence lines for a wide range of vibrational and rotational levels (J≤ 149,v′ ≤ 23,v″ ≤ 47). A new set of constants of theX1Σ state (Dunham-type coefficients) and term values of theD1Π state have been determined by a weighted least-squares fit of the LIF optical lines of theD–Xsystem, some lines of theC–Xsystem, and microwave spectral data reported recently. Constants forX1Σ (in cm−1) are as follows: ωe= 123.993, ωexe= 0.3045,Be= 0.095229, and αe= 4.48 × 10−4. The equilibrium internuclear distance isre= 3.49903 Å, very little changed from the microwave value. 相似文献
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Hari Prakash 《Optics Communications》2011,284(1):289-293
We study 2nth order Hong and Mandel's squeezing of the Hermitian operator, Xθ ≡ X1cosθ + X2sinθ in the most general superposition state, |ψ〉 = Z1|α〉 + Z2|β〉 of two coherent states |α〉 and |β〉. Here operators X1,2 are defined by X1 + i X2 = a, the annihilation operator, angle θ and complex numbers Z1,2 , α, β are arbitrary and the only restriction on these is the normalization condition of |ψ〉. We find maximum 2nth-order Hong-Mandel squeezing of Xθ in the superposed coherent state |ψ〉 for an infinite combinations with , and with arbitrary values of (α + β) and θ. Here A2n is a constant which depends on the order of squeezing. The maximum percentage of 2nth order Hong-Mandel squeezing and their respective constants A2n have been reported for some values of n. We conclude that any large percentage of squeezing can be obtained by suitably choosing of the order 2n. For the order greater than 128 we obtained more than 99% higher-order squeezing at very low intensity of the optical field. Variations of higher-order squeezing with different parameters near its maxima have also been discussed. 相似文献
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The first accurate studies on the vibrational spectroscopic constants and the corresponding full vibrational energy spectra
of some electronic states of diatomic molecular ions XY+ were performed using algebraic method(AM). The AM is applied on the X1Σ+ state of BeH+, the X2Σ+ state of CO+, the X2Πg state of F
2
+
, the A2Πu state of O
2
+
and the X2Σ
g
+
state of Li
2
+
. The results show that AM can generate accurate vibrational spectroscopic constants as well as accurate full vibrational
energy spectra by using some accurate experimental vibrational energies, and that the AM vibrational energies are better than
other theoretical data.
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Translated from Chinese Journal of Atomic and Molecular Physics, 2005, 22 (4) (in Chinese) 相似文献
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A new analytical potential energy function for diatomic molecular ion XY+ is proposed based on the energy consistent method (ECM). The Coulomb potential included in the new ionic potential contains
multipole corrections, converges quickly and is variationally, changeable. The new potential and the ECM are applied to variationally
studying the potential energies of eight electronic states of several diatomic molecular ions: the A2π state of CO+, the X2∑g+ state of Li2+, the X2∑g+ state of He2+, the 12∏u state of Na2+, the A2∏u state of N2+, the X1∑+ state of KrH+, the X2∑+ state of SiO+ and the A2π state of SO+ ion. The present results agree excellently with the experiment-based Rydberg-Klein-Rees (RKR) potentials, and are superior
to the commonly used Huxley-Murrell-Sorbie (HMS) analytical potentials, and are better in some cases than some quantum mechanicalab initio potentials in the ionic asymptotic and dissociation regions. 相似文献
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基于计算双原子分子完全振动能谱及离解能的代数方法 (algebraic method,AM)和研究双原子分子解析势能函数的能量自洽法(energy consistent method,ECM),建立了计算双核分子体系精确解析势能函数的代数-能量自洽法(AM-ECM).应用AM-ECM方法研究了7Li+2-23Σg,KH-X1Σ+,NaLi-X1Σ+和NaLi-A1Σ+电子态的解析势能表达形式,并与其他方法的研究结果进行了比较,获得了能正确描述这些电子态在渐近区和离解区的精确解析表达结果. 相似文献