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From fractional Fourier transformation to quantum mechanical fractional squeezing transformation 被引量:1
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作者 吕翠红 范洪义 李东韡 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第2期35-38,共4页
By converting the triangular functions in the integration kernel of the fractional Fourier transformation to the hyperbolic function,i.e.,tan α → tanh α,sin α →〉 sinh α,we find the quantum mechanical fractional... By converting the triangular functions in the integration kernel of the fractional Fourier transformation to the hyperbolic function,i.e.,tan α → tanh α,sin α →〉 sinh α,we find the quantum mechanical fractional squeezing transformation(FrST) which satisfies additivity.By virtue of the integration technique within the ordered product of operators(IWOP) we derive the unitary operator responsible for the FrST,which is composite and is made of e^iπa+a/2 and exp[iα/2(a^2 +a^+2).The FrST may be implemented in combinations of quadratic nonlinear crystals with different phase mismatches. 展开更多
关键词 fractional Fourier transformation fractional squeezing transformation unitary operator the iwoptechnique
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