Operator raising

It is also true that the use of multiblend formulations helps to raise operator confidence levels, and, provided the technical support function justifies this confidence by a proactive and responsive approach, there is further added value in the blend. 

The spin raising operator (see Eq. (4.3)) may now be applied to this result, and we obtain... 

Raising Operators, Lowering Operators and Irreducible Representations of su(2)... 

We encourage the reader to ponder the role of the raising operators (X and... 

Like the proof of Proposition 8.9, the proof of this proposition uses the technology of raising operators, lowering operators and weights. 

Also, since S + is a raising operator, we must have / — ca, where c is some constant. We can evaluate c by use of the normalization of the spin functions and the Hermitian property of Sx and Sy one finds (Problem 1.8) c = h. Choosing the phase of c as zero, we have... 

The raising operator I+, acting as an operator, raises the a state of a single spin to the p state. All of these operators can be represented as matrices. In the case of the homonuclear two-spin system (Ha and Hb), these are 4 x 4 matrices. For example, the raising operator 1+ can be represented by the following matrix, which acts on the vector that describes the aa state to give a new vector that describes the Pa state ... 

PROBLEM 3.5.6. One can define linear ladder operators for angular momentum (orbital or spin) the raising operator + = Lx + iLy and the lowering operator =LX — iLy. (a) Verify that brute-force expansion yields + =... 

Now we can apply the raising operator T+ successively to this solution to obtain the explicit form of any T3 eigenfunction. From Eq. (76) it follows that... 

This shows that A+ is a raising operator connecting states with m = L In fact, all such states can be generated from n00> with the formula... 

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