I do not fully understand how non local correlation functions are derived from the differentiation of local ones. Specifically how in the following paper equation 23 is derived from 21 since the paper implies H and dpdq are invariant under time...
I am unable to prove step 8.3 in this proof of the path integral formulation of molecular dynamics
https://files.nyu.edu/mt33/public/jpc_feat/node11.html
Any help would be much appreciated.
OK thanks I think I must be misunderstanding the problem I am trying to solve.
If anyone could point me in the right direction that would be great.
The paper is http://arxiv.org/pdf/1407.2139v1.pdf
And my problem is how they go from 17 to 18
Thanks
Ok thanks but I still want to represent the state vector |ψ>=a|α> + b|β> in a continuous basis. Is this possible or am I fundamentally misunderstanding something?
Thanks
I have only ever seen the wavefunction for a spin 1/2 particle written in the basis set |α> |β>. I was interested in how a wavefunction |ψ> = a|α> + b|β> might be rewritten in a continuous basis and hence would need to know what the actual functions of |α> & |β> were.
Thanks