We present a new concise approach for normalizing m-photon-added squeezed state -photon-subtracted squeezed state , i.e., we construct the generating function andrespectively, after calculating them and comparing the result with the standard form of generating function of Legendre polynomials Pm,we find m<r|r>m=m!coshmrPm(cosh r), and , where r is the squeezing parameter.
We present a new concise approach for normalizing m-photon-added squeezed state -photon-subtracted squeezed state , i.e., we construct the generating function andrespectively, after calculating them and comparing the result with the standard form of generating function of Legendre polynomials Pm,we find m<r|r>m=m!coshmrPm(cosh r), and , where r is the squeezing parameter.
FAN Hong-Yi;JIANG Nian-Quan. New Approach for Normalizing Photon-Added and Photon-Subtracted Squeezed States[J]. 中国物理快报, 2010, 27(4): 44206-044206.
FAN Hong-Yi, JIANG Nian-Quan. New Approach for Normalizing Photon-Added and Photon-Subtracted Squeezed States. Chin. Phys. Lett., 2010, 27(4): 44206-044206.
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2010, Vol. 27 
-photon-subtracted squeezed state 
, i.e., we construct the generating function 
and
respectively, after calculating them and comparing the result with the standard form of generating function of Legendre polynomials Pm,we find m<r|r>m=m!cosh mrPm(cosh r), 
and 
, where r is the squeezing parameter. 
-photon-subtracted squeezed state 
, i.e., we construct the generating function 
and
respectively, after calculating them and comparing the result with the standard form of generating function of Legendre polynomials Pm,we find m<r|r>m=m!cosh mrPm(cosh r), 
and 
, where r is the squeezing parameter.