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Multi-variable special polynomials using an operator ordering method

delete2020-07-07
delete26
PRE
AI
X
Xiang‐Guo Meng *
K
Kai‐Cai Li *
J
Ji‐Suo Wang *
Z
Zhenshan Yang
X
Xiaoyan Zhang
Z
Zhentao Zhang
B
Bao‐Long Liang
DOI:10.1007/s11467-020-0967-3delete
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摘要

摘要

En 中文
Using an operator ordering method for some commutative superposition operators, we introduce two new multi-variable special polynomials and their generating functions, and present some new operator identities and integral formulas involving the two special polynomials. Instead of calculating complicated partial differential, we use the special polynomials and their generating functions to concisely address the normalization, photocount distributions and Wigner distributions of several quantum states that can be realized physically, the results of which provide real convenience for further investigating the properties and applications of these states.
Keyword:
multi-variable special polynomial
generating function
operator ordering method
new operator identity and integral formula
Wigner function
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Frontiers of Physics 封面图
Frontiers of Physics
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5.3
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1.4K
被引数:
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linyi university
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