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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
exaly   +3 more sources

Normal Ordering and Abnormal Nonsense

Foundations of Physics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allan I Solomon
exaly   +2 more sources

Normal ordering q-bosons and combinatorics

Physics Letters A, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Schork
openaire   +3 more sources

Normal ordering of the angular momentum cylindrical ladder operators and their products with Wigner D0,ε 1 functions.

Journal of Chemical Physics, 2023
The operator canonical perturbation theory (CPT) is an efficient tool for solving the molecular vibration-rotation Schrödinger equation. The corresponding Watson Hamiltonian can be written using angular momentum cylindrical ladder operators (Jz, J± = Jx ∓
Xuanhao Chang   +3 more
semanticscholar   +1 more source

Normal ordering in the shift algebra and the dual of Spivey’s identity

Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2022
Spivey’s Bell number identity involving Stirling numbers of the second kind was derived by Spivey considering set partitions. Since its original derivation it has been derived (and generalized) by many authors using different techniques.
M. Schork
semanticscholar   +1 more source

Higher-Order Normals on Manifolds

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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.
openaire   +1 more source

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