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Quantum mechanical photoncount formula derived by entangled state representation

胡利云, 王资生, Hong-Yi Fan

By introducing the thermo entangled state representation, we derive four new photocount distribution formulas for a given light field density operator. It is shown that these new formulas, which are convenient to calculate the photocount, can be expressed as integrations over a Laguerre—Gaussian function with a characteristic function, Wigner function, Q -function and P -function, respectively.

arXiv:1010.5555Chinese Physics BAug 1, 20114 citations

New Operator Identity Derived by IWOP Technique and Its Application in Claculating Photocount Distribution

Fan Hong-Yi

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.

Communications in Theoretical PhysicsFeb 1, 20103 citations

Weyl-Ordered Operator Product Formula Derived by Technique of Integration Within Weyl-Ordered Product of Operators

Fan Hong-Yi, Qin Guo

Based on the explicit Weyl-ordered form of Wigner operator and the technique of integration within Weyl-ordered product of operators we derive the Weyl-ordered operator product formula. The formula is then generalized to the entangled form with the help of entangled state representations.

Communications in Theoretical PhysicsNov 1, 20071 citation

Some New Quantum Operator Formulas—New Applications of the Coherent State

Fan Hong‐Yi, Ruan Tu-Nan

We present a novel method for deriving some new quantum operator formulas by carrying out the integrations within a normal product symbol. The idea underlying this method is combining the properties of normal product and of coherent state together. For example, we can deduce operator ordering theorems, the Fujiwara formula, and some disentangling theorems simply and directly. By means of this method we also get the explicit operator form and coherent state form for the Wigner function with these new forms, the wigner function's eigenstate is found and its zero point value property is discussed. Furthermore some famous quantum unitary transformations and the transformed matrix element for functional obtained conveniently. integral may be alsoWe present a novel method for deriving some new quantum operator formulas by carrying out the integrations within a normal product symbol. The idea underlying this method is combining the properties of normal product and of coherent state together. For example, we can deduce operator ordering theorems, the Fujiwara formula, and some disentangling theorems simply and directly. By means of this method we also get the explicit operator form and coherent state form for the Wigner function with these new forms, the wigner function's eigenstate is found and its zero point value property is discussed. Furthermore some famous quantum unitary transformations and the transformed matrix element for functional obtained conveniently. integral may be also

Communications in Theoretical PhysicsJul 1, 198310 citations

Antinormally Ordering the Power of Radial Operator in Quantum Optics Theory

FANHong-Yi, Hong-Yi,  Fu +1 more

We derive a general formula for arranging the power of radial operators into antinormal ordering product of optical fields by using the technique of integration within antinormally ordered product of operators.

理论物理通讯：英文版Jan 1, 20030 citations

Antinormally Ordering the Power of Radial Operator in Quantum Optics Theory

Fan Hong‐Yi, Liang Fu

We derive a general formula for arranging the power of radial operators into antinormal ordering product of optical fields by using the technique of integration within antinormally ordered product of operators.

Communications in Theoretical PhysicsSep 15, 20031 citation

Two quantum-mechanical photocount formulas

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Two quantum-mechanical photocount formulas

Abstract

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