NORMALLY ORDERED FORMS OF SHAPIRO-WAGNER PHASE OPERATORS AND THEIR APPLICATION |
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| Authors: | Liang Xian-ting |
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| Affiliation: | Department of Physics and Institute of Mathematics, Huaihua Teachers College, Huaihua 418008, China |
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| Abstract: | Based on the quantum mechanical representation |ξ〉=exp[dfrac12|ξ|+ξ a+1+ξ* a+2-a+1a+2]|00〉constructed by Fan Hong-yi and with the help of the technique of integration within an ordered product of operators, we derive the normally ordered expressions of the Shapiro-Wagner (SW) phase operators. They are in terms of the Bessel functions. As their application we discuss the minimal uncertain relation regarding the two-mode phase and number-difference operators. |
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| Keywords: | SW phase operator Bessel function normally ordered product |
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