Note 430(2)

OK thanks again! Eq. (13) can be written as dm / dr1= f(r) dm / dr. On the left hand side m is a function of r1, and on the right hand side m is a function of r, but it is the same m on both sides. This point was discussed in the preparation for UFT417. If m = m(r1) and m = m(r) then m(r1) = m(r). In general m = m(r1(r)). In Eq. (17), E is the total relativistic energy, so the expectation value does not contain the potential energy term.

Note 430(2)

The computations are verified up to eq.(13). In (14) you have used
eq.(7), but with replacing m(r1) by m(r). In (7) the factor

partial m(r1)/partial r1

was replaced by r dependence but the factor 1/2m(r1) it was not. A
similar problem occurs in (8) where m(r1) was replacec by m(r) on the
RHS. Is it coorect to do this? We arrive at the problem of endless
recursion here again.

Another point: Shouldn’t eq. (18) contain all 3 terms of the total
energy as given in eq. (6) of note 430(1) ?

Horst


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