New Approach for Calculating Tomograms of Quantum States by Virtue of the IWOP Technique

作     者：FAN Hong-Yi WANG Ji-Suo 

作者机构：Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Liaocheng University Liaocheng 252059 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2007年第47卷第3期

页      面：431-436页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported by National Natural Science Foundation of China under Grant No. 10475056 and the Specialized Research Fund for the Doctorial Progress of Higher Education under Grant No. 20040358019 

主　　题：tomogram intermediate coordinate-momentum representation 

摘      要：We show that for tomographic approach there exist two mutual conjugate quantum states [p,σ, τ） and [x,μ, ν） （named the intermediate coordinate-momentum representation）, and the two Radon transforms of the Wigner operator are just the pure-state density matrices [p）σ1τσ1τ （p｜ and （p）λ,ν,λ,ν,（x｜ respectively. As a result, the tomogram of quantum states can be considered as the module-square of the states＇ wave function in these two representations. Throughout the paper we fully employ the technique of integration within an ordered product of operators. In this way we establish a new convenient formalism of quantum tomogram.