共查询到20条相似文献,搜索用时 46 毫秒
1.
We intend to realize the step-up and step-down operators of the potential V (x) = V1 e 2βx + V2 e βx. It is found that these operators satisfy the commutation relations for the SU(2) group. We find the eigenfunctions and the eigenvalues of the potential by using the Laplace transform approach to study the Lie algebra satisfied the ladder operators of the potential under consideration. Our results are similar to the ones obtained for the Morse potential (β → -β). 相似文献
2.
Optical Operator Method Studied via Fresnel Operator Decomposition and Coherent State Representation
MA Shan-Jun HU Li-Yun FAN Hong-Yi 《理论物理通讯》2008,49(5):1295-1298
We find that the mapping from classical optical transformations to
the optical operator method can be realized by using the coherent state
representation and the technique of integration within an ordered product of
operators. The optical Fresnel operator derived in (Commun. Theor. Phys.
(Beijing, China) 38 (2002) 147) can unify those frequently used optical operators. Various
decompositions of Fresnel operator into the exponential canonical operators
are obtained. 相似文献
3.
We extend the newly developed technique of integration with an ordered product (IWOP) of operators to q-deformed boson case. The ambiguity arising from defining the normal ordering of q-deformed boson operators, which satisfy aa↑ - qa↑a = 1, can be eliminated by following the q-deformed IWOP technique. Some new q-integration formulas and new qboson operator identities are obtained, and the P-representation of q-analogue of the chaotic state of radiation field is derived. 相似文献
4.
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6.
We find that classical similarity transformations in the coherent state representation projects onto the similarity transformation operators (STO), these operators constitute a loyal representation of symplectic group. Remarkably, the multiplication rule of the STOs naturally leads to the quantum optical generalized ABCD law, which is the quantum mechanical correspondence of the classical optical ABCD law. Throughout the whole derivation, the technique of integration within an ordered product (IWOP) of operators is employed. 相似文献
7.
FAN Hong-Yi 《理论物理通讯》2010,54(3):439-442
By virtue of the technique of integration within Weyl ordered of operatorswe derive the formula of Weyl ordering expansion of power product ofcoordinate and momentum operators (21/2Q)m (21/2iP )r=::Hm,r(21/2Q,21/2iP ) ::, the introduction of two-variable Hermite polynomial Hm,r brings much convenience to the study of Weyl correspondence. 相似文献
8.
YANG Li-ming 《理论物理通讯》1982,1(5):557-568
For strongly pair-correlated systems, a new transforniation is derivqd similar in form to the usual Bogoliubov-Valatin transformation, but with the transformation coefficients replaced by operators. The original fermion operators Cα+, Cα are now replaced by two sets of independent operators, the pair operators Sα+, Sα and the quasi-fermions aα+, aα The transformation conserves the particle number. Among other applications, it is particularly suited for the construction of a microscopic theory of the type of the interacting boson model. The new transformation given here also serves to provide a connection between the usual ph picture of a phonon and the pp picturevof bosons in IBM. However, the boson picture that evolves from the present formulation differs from the ideal boson picture in IBM. 相似文献
9.
FAN Hong-Yi 《理论物理通讯》2008,50(5):1089-1092
We re-explain the Weyl quantization scheme by virtue of the technique of
integration within Weyl ordered product of operators, i.e., the Weyl
correspondence rule can be reconstructed by classical functions' Fourier transformation followed by an inverse Fourier transformation within Weyl ordering of operators. As an application of this reconstruction, we derive the quantum operator coresponding to the angular spectrum amplitude of a spherical wave. 相似文献
10.
Based on the technique of integral within an ordered product of
nonlinear bosonic operators, we construct a new kind of tripartite nonlinear entangled state
|α,γ〉λ in 3-mode Fock space, which can make up a complete set. We also simply discuss its properties and application. 相似文献
11.
For classical transformation (q1,q2) → (Aq1 + Bq2, Cq1 + Dq2), where AD - CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix (A B C D ). The explicit operators L, D, and U axe derived and their physical meaning is revealed, this also provides a new way for disentangling some exponential operators. 相似文献
12.
ZHA Xin-Wei 《理论物理通讯》2008,50(3):637-639
Recently Jiang et al. [Chin. Phys. Lett. 24 (2007) 1144] gave a scheme for probabilistic controlled teleportation of a triplet W
state from the sender Alice to the distant receiver Bob. The $m$ controlled
qubits are shared by m(s1,s2,…, sm) spatially-separated
supervisors. Based on transformation operator, we can extend to
teleporting an arbitrary three-qubit state. The relation between the
transformation operators and the Bob's unitary transformation is also
obtained. 相似文献
13.
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
14.
FAN Hong-yi 《理论物理通讯》1990,14(2):181-188
We point out that the compact exponential operator V≡exp[-i(λ1Q2-λ2P2)/2] (where λ1, λ2 are real;P and Q are momentum and coordinate operators, respectively;the units of h=m=ω=l is taken, m and ω are harmonic oscillator's mass and'frequency, respectively) is a generalized single-mode squeeze operator which can generate mixed squeezing and rotating transformations. The decomposition of V as a product of a squeeze operator and a rotating operator is derived through the technique of integration within an ordered product.The fluctuation in quadrature phases for the squeezed vacuum state generated by V is analyzed. 相似文献
15.
By virtue of the Weyl correspondence and based on the the technique of integration within an ordered product of
operators, we show under what condition the superoperator's Kraus
representation
ρˊ=∑μ
AμρAμ† can be deformed as
ρˊ=(1/π)∫d2αB(α)D(α)ρD†(α),
where D(α) is the displacement operator, B(α) is a probability density related to the classical Weyl correspondence of Aμ. An alternate discussion by using the entangled state representation and through a quantum teleportation process is also presented. 相似文献
16.
We propose a new two-mode thermo-and squeezing-mixed optical field, described by the new density operator ρ=1-e~f-|g|~2 e~(ga~+b~+)e~(fa~+a)|0〉 f_(bb) 〈0| e~(g*ab), where |0〉_(bb) 〈0| is the b-mode vacuum, e ~(fa~+a)represents the thermo-field, and e~(ga~+b~+) indicates squeezing. The photon statistics for ρ is studied by virtue of the method of integration within ordered product(IWOP) of operators. Such a field can be generated when a two-mode squeezed state passes through a one-mode dissipation channel. 相似文献
17.
We report the temperature dependence of the spin pumping effect for Y3Fe5O12 (YIG, 0.9 μm)/NiO (tNiO)/W (6 nm) (tNiO = 0 nm, 1 nm, 2 nm, and 10 nm) heterostructures. All samples exhibit a strong temperature-dependent inverse spin Hall effect (ISHE) signal Ic and sensitivity to the NiO layer thickness. We observe a dramatic decrease of Ic with inserting thin NiO layer between YIG and W layers indicating that the inserting of NiO layer significantly suppresses the spin transport from YIG to W. In contrast to the noticeable enhancement in YIG/NiO (tNiO ≈ 1-2 nm)/Pt, the suppression of spin transport may be closely related to the specific interface-dependent spin scattering, spin memory loss, and spin conductance at the NiO/W interface. Besides, the Ic of YIG/NiO/W exhibits a maximum near the TN of the AF NiO layer because the spins are transported dominantly by incoherent thermal magnons. 相似文献
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19.
FAN Hong-yi 《理论物理通讯》1989,11(1):93-98
Using the IWOP (integration within ordered product) technique, we construct a new state vector representation in two-mode Fock space. The tensor product of a kind of squeeze operators can then be well identified in the new representation, which manifestly shows that these squeeze operators are quantum maps imaged by certain symplectic transformation in classical phase space. 相似文献
20.
We scrutinize the problem of robust H∞control for a class of Markovian jump uncertain systems with interval timevarying and distributed delays. The Markovian jumping parameters are modeled as a continuous-time finite-state Markov chain. The main aim is to design a delay-dependent robust H∞control synthesis which ensures the mean-square asymptotic stability of the equilibrium point. By constructing a suitable Lyapunov–Krasovskii functional(LKF), sufficient conditions for delay-dependent robust H∞control criteria are obtained in terms of linear matrix inequalities(LMIs). The advantage of the proposed method is illustrated by numerical examples. The results are also compared with the existing results to show the less conservativeness. 相似文献