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• W2496223516 abstract "For the creation operator $adag $ and the annihilation operator $a$ of a harmonic oscillator, we consider Weyl ordering expression of $(adag a)^n$ and obtain a new symmetric expression of Weyl ordering w.r.t. $adag a equiv N$ and $aadag =N+1$ where $N$ is the number operator. Moreover, we interpret intertwining formulas of various orderings in view of the difference theory. Then we find that the noncommutative parameter corresponds to the increment of the difference operator w.r.t. variable $N$. Therefore, quantum (noncommutative) calculations of harmonic oscillators are done by classical (commutative) ones of the number operator by using the difference theory. As a by-product, nontrivial relations including the Stirling number of the first kind are also obtained." @default.
• W2496223516 created "2016-08-23" @default.
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• W2496223516 date "2003-04-13" @default.
• W2496223516 modified "2023-09-27" @default.
• W2496223516 title "Orderings of Operators in Quantum Physics" @default.
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