Hierarchy Bloch equations for the reduced statistical density operators in canonical and grand canonical ensemblesNo AbstractSun, C.PHYSICA A
FUN*(c)(X):={a∈M:for some class d,with E(d)⊆X,〈d,a〉∈E(c)}. It is easy to see that {FUN*(c): c∈ M} = {Ff: f∈ M} so one has an alternative definition for explicitly CL-continuous operators. Also, if F,G:P(M)→P(M),F⊆G:=F(X)⊆G(X) ...
According to Werner’s result32, a (U ⊗ U)-invariant Hermitian operator must be of the form α1+βV with α,β∈R. This implies that a [⨂i=1n(Ui⊗Ui)]-invariant state must be a linear combination of operators of the form ⨂i=1n(αi1+βiV)∀αi,βi∈R. (34...
CItem::Aggregate_ref_update CItem::Aggregate_replacement Caggregated_stats To facilitate calculating values of status variables aggregated per all THDs in real-time, each THD will update its stats into a matching buffer shard Caggregated_stats_buffer Similar to System_status_var...
Case in point: The existence of $node/path and %uniquenode operators. In general, scripts should hard-code any node paths that are inside the subtree of the node they control, and only export node paths intended to be linked from a node outside that subtree. An "insertion point", being...
For our purpose, the important element is that this choice is limited here to the number of particles retained in the state vector, while the variables attached to each particle are (nearly always) only made up by their position and velocity,i.e.Zp[i]=(xp[i],Up[i]). In classicalstati...
The commutation relations of the currents with the fermionic operators are: $$\begin{aligned} \begin{array}{l} e^{J_{+}(\textbf{t})}\psi ^{(\gamma )}(z)=e^{\xi (\textbf{t}_{\gamma }, z)} \psi ^{(\gamma )}(z)e^{J_{+}(\textbf{t})}, \\ \\ e^{J_{+}(\textbf...
Network selection in heterogeneous wireless networks (HWNs) is a complex issue that requires a thorough understanding of service features and user preferen
2.1.862 Part 1 Section 18.17.2.2, Operators 2.1.863 Part 1 Section 18.17.2.3, Cell References 2.1.864 Part 1 Section 18.17.2.3.1, A1-Style Cell References 2.1.865 Part 1 Section 18.17.2.3.2, R1C1-Style Cell Reference 2.1.866 Part 1 Section 18.17.2.4, Functions 2.1.867 Part 1...
EntitySQL hasOFTYPEoperator that does the same thing: stringeSqlQuery =@"SELECT VAlUE b FROM OFTYPE(BillingDetails, Model.BankAccount) AS b"; In fact, the above query withOFTYPE operator is a short form of the following query expression that usesTREATandIS OFoperators: ...