共查询到20条相似文献,搜索用时 0 毫秒
1.
FAN Hong-Yi WANG Tong-Tong 《理论物理通讯》2008,50(12):1299-1302
We introduce a kind of generalized Wigner operator, whose normally ordered form can lead to the bivariate normal distribution in p-q phase space. While this bivariate normal distribution corresponds to the pure vacuum state in the generalized Wigner function phase space, it corresponds to a mixed state in the usual Wigner function phase space. 相似文献
2.
In order to gain insight into the nature of the Wigner and related distribution functions, bivariate averaging functions of
real unbounded variables with absolutely continuous marginals that are ordinary probabilities are considered. Accordingly
variables are chosen to be phase space variables that are respectively eigenvalues of position and momentum operators. The
impact of the condition that the marginals are squared magnitudes of amplitudes that are Fourier transforms of one another
is emphasized by the delay of the introduction of this Fourier transform condition until after the form for a bivariate distribution
with the given marginals is obtained. When the respective amplitudes are fourier transforms of one another, special cases
of the bivariate averaging function correspond to generalized Wigner functions characterized by a parameterα. Such anα-Wigner function can be used as the basis of a consistent averaging procedure if an appropriate corresponding representation
for underlying operators to be averaged is specified. Properties of theα-Wigner functions are summarized. 相似文献
3.
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
4.
WANG Pei-Qing SONG Tong-Qiang 《理论物理通讯》2005,44(3):541-546
We construct the nonlinear tripartite entangled state representation and the related generalized Wigner operator. Then we discussed the Wigner functions of the nonlinear tripartite entangled state and the three-mode nonlinear squeezed vacuum state, and obtained the classical Weyl corresponding function of the three-mode nonlinear squeezed state. 相似文献
5.
WANG Pei-Qing SONG Tong-Qiang 《理论物理通讯》2005,44(9)
We construct the nonlinear tripartite entangled state representation and the related generalized Wigner operator. Then we discussed the Wigner functions of the nonlinear tripartite entangled state and the three-mode nonlinear squeezed vacuum state, and obtained the classical Weyl corresponding function of the three-mode nonlinear squeezed state. 相似文献
6.
By virtue of the normal ordering of vacuum projector we directly derive some new complicated operator identities, regarding to the generalized Stirling number. 相似文献
7.
8.
By extending the EPR bipartite entanglement to multipartite case, we briefly introduce a continuous multipartite entangled representation and its canonical conjugate state in the multi-mode Fock space, analyze their Schmidt decompositions and give their entangling operators. Furthermore, based on the above analysis we also find the n-mode Wigner operator. In doing so we may identify the physical meaning of the marginal distribution of the Wigner function. 相似文献
9.
YUAN Hong-Chun LI Heng-Mei QI Kai-Guo 《理论物理通讯》2005,44(6):1015-1020
By extending the EPR bipartite entanglement to multipartite case, we briefly introduce a continuous multipartite entangled representation and its canonical conjugate state in the multi-mode Fock space, analyze their Schmidt decompositions and give their entangling operators. Furthermore, based on the above analysis we also find the n-mode Wigner operator. In doing so we may identify the physical meaning of the marginal distribution of the Wigner function. 相似文献
10.
Using the normally ordered Gaussian form of the Wigner operator we recapitulate the quantum phase space representation, we derive a new formula for searching for the classical correspondence of quantum mechanical operators; we also show that if there exists the eigenvector |q〉λ,v of linear combination of the coordinate and momentum operator, (λQ + vP), where λ,v are real numbers, and |q〉λv is complete, then the projector |q〉λ,vλ,v〈q| must be the Radon transform of Wigner operator. This approach seems concise and physical appealing. 相似文献
11.
FAN Hong-Yi LOU Sen-Yue 《理论物理通讯》2008,49(3):613-616
We introduce bivariate normal distribution operator for state vector [ψ) and find that its marginal distribution leads to one-dimensional normal distribution corresponding to the measurement probability |λ,v〈x|.ψ〉|^2, where |x〉λ,v is the coordinate-momentum intermediate representation. As a by-product, the one-dimensional normal distribution in statistics can be explained as a Radon transform of two-dimensional Gaussian function. 相似文献
12.
FAN Hong-Yi 《理论物理通讯》2003,40(10)
By virtue of the property that Weyl ordering is invariant under similar transformations we show that the Weyl ordered form of the Wigner operator, a Dirac δ-operator function, brings much convenience for derivingmiscellaneous Wigner transforms. The operators which engender various transforms of the Wigner operator, can alsobe easily deduced by virtue of the Weyl ordering technique. The correspondence between the optical Wigner transformsand the squeezing transforms in quantum optics is investigated. 相似文献
13.
Bao-Long Liang Ji-Suo Wang Hong-Yi Fan 《International Journal of Theoretical Physics》2007,46(7):1779-1785
Wigner function in phase space has its physical meaning as marginal probability distribution in coordinate space and momentum
space respectively, here we endow the Wigner function with a new physical meaning, i.e., its marginal distributions’ statistical
average for q
2/(2C) and p
2/(2L) are the energy stored in capacity and in inductance of a mesoscopic L-C circuit at finite temperature, respectively.
PACS numbers: 03.65.-w, 73.21.-b 相似文献
14.
FANHong-Yi 《理论物理通讯》2003,40(4):409-414
By virtue of the property that Weyl ordering is invariant under similar transformations we show that the Weyl ordered form of the Wigner operator, a Dirac δ-operator function, brings much convenience for deriving miscellaneous Wigner transforms. The operators which engender various transforms of the Wigner operator, can also be easily deduced by virtue of the Weyl ordering technique. The correspondence between the optical Wigner transforms and the squeezing transforms in quantum optics is investigated. 相似文献
15.
Based on the Radon transform and fractional Fourier transform we introduce the fractional Radon trans-formation (FRT). We identify the transform kernel for FRT. The FRT of Wigner operator is derived, which naturallyreduces to the projector of eigenvector of the rotated quadrature in the usual Radon transform case. 相似文献
16.
Thermal Wigner Operator in Coherent Thermal State Representation and Its Application 总被引:1,自引:0,他引:1
FANHong-Yi 《理论物理通讯》2002,37(3):289-292
In the coherent thermal state representation we introduce thermal Wigner operator and find that it is “squeezed” under the thermal transformation.The thermal Wigner operator provides us with a new direct and neat approach for deriving Wigner functions of thermal states. 相似文献
17.
18.
By introducing the Wigner operator into the complex scalar field we show that the newly constructed common eigenvector of scalar field φ(x) and φ+(x) is an entangled state. The properties of field Wigner operator is also discussed. 相似文献
19.
By virtue of the normal ordering of vacuum projector we directly derive some new complicated operator identities, regarding to the generalized Stirling number. 相似文献
20.
XU Xing-Lei LI Hong-Qi 《理论物理通讯》2008,49(6):1453-1456
By using the technique of integration within an ordered product (IWOP) of operator we derive Wigner function of density operator for negative binomial distribution of radiation field in the mixed state case, then we derive the Wigner function of squeezed number state, which yields negative binomial distribution by virtue of the entangled state representation and the entangled Wigner operator. 相似文献