Thank you Peter. I see now that the order of any two adjacent matrices can be swapped and the sign changed. It is "easy to show". I appreciate you taking the time to point me in the right direction.
In obtaining the Press Schechter function, the variance on mass scale is differentiated with respect to mass. The variance on a mass scale is a function of wavenumber k through the Power spectrum and transfer function. To eliminate k dependence, some value of k must be inserted into the...
Homework Statement
Reading Sakurai I cannot see how he gets to the end of 1.7.15 as below:
Homework Equations
∫dx'|x'><x'-dx' |α>
= ∫dx'|x'>{<x' |α>-Δx'∂/∂x'<x' |α>}
The Attempt at a Solution
I tried a Taylor expansion but cannot see how this is derived.
can someone help me with a derivation in L&C. I am wrestling with Figure 18.9 (Fig 7.20 in second edition) . In Equations 18.36 and 18.37 (7.99 and 7.100), the element dl is substituted with acos(phi)dphi and I cannot see how this is derived.