A New Kind of Two-Fold Integration Transformation in Phase Space and
Its Uses in Weyl Ordering of Operators |
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| Authors: | FAN Hong-Yi |
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| Institution: | 1.Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
;2.Department of Material Science and Engineering,
University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | We propose a new two-fold integration transformation in p-q phase space
∫∫-∞∞(dp dq/π)e2i(p-x)(q-y)f(p,q)≡G( x,y),
which possesses some well-behaved transformation properties. We apply this
transformation to the Weyl ordering of operators, especially those Q-P
ordered and P-Q ordered operators. |
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| Keywords: | new two-fold integration transform phase space Weyl ordering of operators |
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