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几类粒子密度算符和粒子流密度算符的讨论 总被引:1,自引:1,他引:0
从粒子密度和粒子流密度出发,分析了几类相关的算符,讨论了它们的性质与相互关系;从具体的物理意义出发,明确了合适的粒子密度算符和粒子流密度算符的表达形式. 相似文献
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采用新的方法,推导出三维各向同性谐振子径向基本算符r,r,1r对本征函数的作用结果,由此得出其升降算符及其他新的公式,并证明文献[1]中的结论有误
关键词:
基本算符 升降算符 三维谐振子 相似文献
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对“谐振子产生算符和湮没算符的逆算符”一中的一个结论提出不同的看法,我们证明,相干态(Z)并不是湮没算符算符a^-1的本征态,a^-1│Z)实际上是一个完全不同于│Z)的新量子态。 相似文献
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提出了将哈密顿算符对角化的一种方法.围绕一维谐振子讨论了如何将哈密顿算符对角化、引进的是玻色算符还是费米算符的问题,并分析了能量量子化的原因及能量子与声子的区别. 相似文献
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本文分别运用一对q变形玻色算符、一对q变形费米算符与两对q变形玻色算符、两对q变形费米算符,给出了量子超代数splq(2,1)的两种q变形玻色-费米实现. 相似文献
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对"谐振子产生算符和湮没算符的逆算符"一文中的一个结论提出不同的看法.我们证明,相干态|Z〉并不是湮没算符逆算符a-1的本征态,a-1|Z〉实际上是一个完全不同于|Z〉的新量子态. 相似文献
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利用算符代数中的分析方法,得到了多模海森堡(Heisenberg)代数中的BCH公式和压缩算符的展开式。 相似文献
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本引入谐振子产生算符和湮没算符的逆算符,导出它们在Fock空间的表达式,并给出了一些简单应用。 相似文献
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Franciszek Hugon Szafraniec 《Reports on Mathematical Physics》2004,53(3):393-400
The classical Hamiltonian ) of the very classical quantum harmonic oscillator, which is regarded as a germ of the most of what comes about in quantum mechanics, can be sublimed to an abstract operator in a separable Hilbert space. Having this done one may ask for a condition which would allow it to be identified among operators of a suitable class. This class is that corresponding to three diagonal matrices and the property which makes the action successful is a kind of diagonal invariance (up to change of basis) within the class in question. 相似文献
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描述高自旋弱耦合系统的广义积算符 总被引:1,自引:1,他引:0
本文提出了Z算符与角动量积算符相结合的广义积算符,用于描述高自旋弱耦合系统NMR实验谱。给出了高自旋系统在自旋耦合作用下的演变公式,Z算符在脉冲作用下的变化公式。以氘(D)为例,计算了重聚INEPT,DEPT和同核COSY实验谱,并对计算方法作了讨论。 相似文献
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Jining GAO 《Letters in Mathematical Physics》2006,75(3):213-223
In this paper, we describe a precise contracting homotopy which provides a new construction of Hamiltonian BRST operators
with only three summands. 相似文献
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In this paper, a modified warping operator for homogeneous shallow water based on the Beam-Displacement Ray-Mode (BDRM) theory is presented. According to the BDRM theory, the contribution of the beam displacement and the time delay to the group velocity can be easily considered in a shallow water waveguide. A more accurate dispersion formula is derived by using the cycle distance formula to calculate the group velocity of normal modes. The derived dispersion formula can be applied to the homogeneous shallow water waveguide. Theoretically, the formula is related to the phase of the reflection coefficient and suitable for various bottom models. Furthermore, based on the derived dispersion relation, the modified warping operator is developed to obtain linear modal structures. For the Pekeris model, the formulae for the phase of the reflection coefficient are derived in this work. By taking account of the effect of the bottom attenuation on the reflection coefficient, the formula for the phase of the reflection coefficient including the bottom attenuation is obtained for the Pekeris model with a lossy bottom. Performance and accuracy of different formulae are evaluated and compared. The numerical simulations indicate that the derived dispersion formulae and the modified warping operator are more accurate. 相似文献
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借助粒子数算符的本征矢及其完备性,得到了用实数x、产生算符及粒子基态表示的矢量|x〉.以此为起点,证明了矢量|x〉是坐标算符的本征矢,坐标投影算符的积分是单位算符,坐标本征矢是正交归一的.因此,坐标本征矢集{|x〉}具有正交归一性和完备性. 相似文献
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A generalized Weyl—Wigner quantization scheme unifying P-Q and Q-P ordering and Weyl ordering of operators 下载免费PDF全文
By extending the usual Wigner operator to the s-parameterized one as 1/4π2 integral (dyduexp [iu(q-Q)+iy(p-P)+is/2yu]) from n=- ∞ to ∞ with s beng a,real parameter,we propose a generalized Weyl quantization scheme which accompanies a new generalized s-parameterized ordering rule.This rule recovers P-Q ordering,Q-P ordering,and Weyl ordering of operators in s = 1,1,0 respectively.Hence it differs from the Cahill-Glaubers’ ordering rule which unifies normal ordering,antinormal ordering,and Weyl ordering.We also show that in this scheme the s-parameter plays the role of correlation between two quadratures Q and P.The formula that can rearrange a given operator into its new s-parameterized ordering is presented. 相似文献
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We propose a new Benney-like lattice and show that the new system of equations can be reduced to Chaplygin gas-like equations as well as the heavenly equation. We construct two infinite sets of conserved charges. The conserved densities are related to Legendre polynomials. We prove that the system is bi-Hamiltonian and that the conserved charges are in involution with respect to either of the Hamiltonian structures. We show that our Lax operator generates a new dispersionless Toda hierarchy. 相似文献