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Normal Ordering and Abnormal Nonsense

Foundations of Physics, 2009
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Solomon, Allan I., Allan I. Solomon
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Operators’ Ordering: From Weyl Ordering to Normal Ordering

Science China: Physics, Mechanics and Astronomy, 2011
By virtue of the technique of integration within an ordered product of operators we present a new approach to obtain operators’ normal ordering. We first put operators into their Weyl ordering through the Weyl-Wigner quantization scheme, and then we convert the Weyl ordered operators into normal ordering by virtue of the normally ordered form of the ...
HongYi Fan, HongChun Yuan, GenChang Cai, NianQuan Jiang   +3 more
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Higher-Order Normals on Manifolds

Journal of Mathematical Sciences, 2023
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The ⊲-ordering on normal ultrafilters

Journal of Symbolic Logic, 1985
Ifκis a measurable cardinal, then it is a well-known fact that there is at least one normal ultrafilter overκ. In [K-1], Kunen showed that one cannot say more without further assumptions, for ifUis a normal ultrafilter overκ, thenL[U] is an inner model of ZFC in whichκhas exactly one normal measure.
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On Orders in Normal Cryptogroups

Results in Mathematics, 2011
Given a semigroup \(Q\), a subsemigroup \(S\) of \(Q\) is said to be an \textit{order} in \(Q\) if every element of \(Q\) is a ``quotient'' of elements of \(S\), i.e., for all \(q\in Q\) there exist \(a,b,c,d\in S\) such that \(a\) and \(d\) belong to (maximal) subgroups of \(Q\) and \(q=a^{-1}b=cd^{-1}\), where \(a^{-1}\) and \(d^{-1}\) are the ...
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Normally Ordered Inverse Semigroups

Semigroup Forum, 1998
Let \(S\) be an inverse semigroup and \(E\) the set of its idempotents. Suppose that there exists a partial order \(\ll\) on \(E\) such that two idempotents are \(\ll\)-comparable if and only if they belong to the same \(\mathcal J\)-class of \(S\) and, for all \(s\in S\) and \(e,f\in Ess^{-1}\), \(e\ll f\) implies \(s^{-1}es\ll s^{-1}fs\).
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Ordered pair of normalized real numbers

Information Sciences, 2020
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DISPERSIVE ORDERING FOR THE MULTIVARIATE NORMAL DISTRIBUTION

Probability in the Engineering and Informational Sciences, 2016
Let (X1, …, Xn) be a multivariate normal random vector with any mean vector, variances equal to 1 and covariances equal and positive. Turner and Whitehead [9] established that the largest order statistic max{X1, …, Xn} is less than the standard normal random variable in the dispersive order.
Leng, Xuan, Zhuang, Jinsen, Hu, Taizhong
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Normal ordering q-bosons and combinatorics

Physics Letters A, 2006
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