共查询到20条相似文献,搜索用时 15 毫秒
1.
FAN Hong-Yi LIU Shu-Guang 《理论物理通讯》2007,47(3):427-430
We find a new x-parameter squeezed coherent state (p, q)κ representation, which possesses well-behaved features, i.e., its Wigner function's marginal distribution in the "q-direction" and in the "p-direction" is the Gauss/an form exp(-κ(q' - q)2}, and exp{(p' - p)2/κ}, respectively. Based on this, the Husimi function of(p, q)κ is also obtained, which is a Gauss/an broaden version of the Wigner function. The (P, q)κ state provides a good representative space for studying various properties ot the Husimi operator. 相似文献
2.
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
3.
MENG Xiang-Guo WANG Ji-Suo LIANG Bao-Long 《理论物理通讯》2008,49(6):1457-1460
In this paper, in terms of the technique of integration within an ordered product (IWOP) of operators and the properties of the inverses of q-deformed annihilation and creation operators, normalizable q-analogue of the squeezed one-photon state, which is quite different from one introduced by Song and Fan [Int. 3. Theor. Phys. 41 (2002) 695], is constructed. Moreover, the Wigner function and phase probability distribution of q-analogue of the squeezed one-photon state are examined. 相似文献
4.
Relationship Between Wave Function and Corresponding Wigner Function Studied in Entangled State Representation 总被引:1,自引:0,他引:1
XU Xing-Lei LI Hong-Qi FAN Hong-Yi 《理论物理通讯》2008,49(5):1159-1162
By using the explicit form of the entangled Wigner operator and the entangled state representation we derive the relationship between wave function and corresponding Wigner function for bipartite entangled systems. The technique of integration within an ordered product (IWOP) of operators is employed in our discussions. 相似文献
5.
Starting from the optical fractional Fourier transform (FFT) and using the technique of integration withinan ordered product of operators we establish a formalism of FFT for quantum mechanical wave functions. In doing so, theessence of FFT can be seen more clearly, and the FFT of some wave functions can be derived more directly and concisely.We also point out that different FFT integral kernels correspond to different quantum mechanical representations. Theyare generalized FFT. The relationship between the FFT and the rotated Wigner operator is studied by virtue of theWeyl ordered form of the Wigner operator. 相似文献
6.
Using the technique of integration within an antinormally ordered product of operators we present a convenient approach for deriving some new operator identities in quantum optics theory. Based on P-representation we also derive a new formula for evaluating photocount distribution. 相似文献
7.
By virtue of the technique of integration within an ordered product (IWOP) of operators we maoifestly show that Householder transformation in 3-dimensional Euclidean space directly maps to the normally-ordered rotation-reflection operator. A new "dyad" form of it in three-mode Fock space is also deduced. 相似文献
8.
Using the bosonic coherent state representation and the Schwinger bosonic operator realization of angular momentum we find the formula for the quantum Hamiltonian H =iaiUijUjl a1 for SU(2) rotation U, in this way we further specify the angular velocity w, iUU = (1/2)σ·ω, where σ is the Pauli matrix. Though the spin as a quantum observable has no classical correspondence, we may still mimic it as a rigid body rotation characterized by 3 Euler angles, and calculate its Pseudo-classical rotational partition function of spin one-half. 相似文献
9.
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
10.
Xiao-Yan Zhang Ji-Suo Wang Bao-Long Liang Jie Su 《International Journal of Theoretical Physics》2009,48(7):2000-2004
By means of the Weyl correspondence and Wigner theorem the marginal distribution of Wigner function in mesoscopic RLC circuit
at finite temperature was discussed. 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 temperature-related energy stored in capacity and in inductance of the mesoscopic RLC circuit, respectively. 相似文献
11.
Using the technique of integral within an ordered product (IWOP) of
operators we show that the wavelet transform can be recasted to a matrix
element of squeezing-displacing operator between the mother wavelet state vector and the state vector to be transformed in the context of quantum
mechanics. In this way many quantum optical states' wavelet transform can be
easily derived. 相似文献
12.
We introduce a new unitary operator U which can engender a squeezing and rotating entangled transformation. The U operator has a concise expression in a new representation in two-mode Fock space. The normally ordered form of U can be derived by using the technique of integration within an ordered product of operators. The fluctuation in quadrature phases for these squeezing-rotating entangled states are analyzed. 相似文献
13.
The coherent-entangled state |α, x; λ> with real parameters λ is proposed in the two-mode Fock space, which exhibits the properties of both the coherent and entangled states. The completeness relation of |α, x; λ> is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operator is derived, with its own squeezing properties. Furthermore, generalized P-representation in the coherent-entangled state is constructed. Finally, it is revealed that superp... 相似文献
14.
The coherent-intermediate-entangled state |α, x)λ,v is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α, x)λ,v makes up a new quantum mechanical representation, and the completeness relation of |α, x)λ,v is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state |α, x)λ,v and the Schmidt decomposition of |α, x)λ,v is investigated. 相似文献
15.
16.
The coherent-intermediate-entangled state |α,x}>λ,ν is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α,x}>λ,ν makes up a new quantum mechanical representation, and the completeness relation of |α,x}>λ,ν is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state |α,x}>λ,ν , and the Schmidt decomposition of |α,x}>λ,ν is investigated. 相似文献
17.
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
18.
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
19.