Roger Hawksworth

7 Questions 8 Answers 0 Followers

Questions related from Roger Hawksworth

Could anyone provide a summary, of what’s going on in these six papers on the holonomy group?

Recently I became aware of ‘The Holonomy Group’. This is to do with how the components of vectors alter, upon their parallel transport in a Riemann space. There are six papers on ‘The Holonomy...

25 August 2022 1,242 1 View

How do I solve a problem that occurs with a particular LaTeX source file, a problem which may lead to TeXworks crashing?

Please see the attached ‘PNG’, which indicates the problem that I have. Could anyone tell me how I might edit the 'TEX' file, to solve this problem?

26 May 2021 1,623 1 View

Using LaTeX, how do I bring the text over to the left-hand side?

Please find attached a work in progress. It is about the 'Delta Function Normalization' of a 'Regular Coulomb Wave Function'. If you open the attached PDF, you will see that some of the equations...

17 May 2021 8,645 1 View

How might you improve the appearance of some 'Quantum Optics' materials, that were produced using LaTeX?

In asking this question some materials are presented which may be of use to those who lecture 'Quantum Optics' or 'Quantum Dynamics', or who solve the Heisenberg equation of motion for an...

26 November 2020 1,046 1 View

What's this isomorphism at play in quantum optics?

I have looked at the time development of the creation and annihilation operators for a mode of the quantized free electromagnetic field. It was assumed that the equations of motion for these...

30 September 2020 9,088 5 View

What is the best way to handle the ‘grad div E’ term?

I have tried to derive, in a particular form, an equation for the electric field of light propagating in a dielectric. Unfortunately, for my intended purpose, for the case of electromagnetic wave...

31 January 2017 544 7 View

Does anyone know of a proof, that the divergence of a vector field exists?

Does anyone know how to prove, that the defining limit, is actually well defined? Please see attachment. Roger

03 December 2015 2,425 2 View