georg gill
- 151
- 6
http://vallance.chem.ox.ac.uk/pdfs/VariationPrincipleNotes.pdf
In the proof above I need to understand why: $$S_{ij}=S_{ji}$$. Which is the same as proving
$$\int f_i f_j dg=\int f_j f_i dg$$ (I)
Not sure about what I should call the variable for so I called it g. Can someone prove this from the basics? From starting from definition of complex functions and start from left of (I) and get to the right of (I). I know that complex times complex conjugate gives probability. Thank you!In the link this is introduced at page 2 as $$<f_i|f_j>$$
In the proof above I need to understand why: $$S_{ij}=S_{ji}$$. Which is the same as proving
$$\int f_i f_j dg=\int f_j f_i dg$$ (I)
Not sure about what I should call the variable for so I called it g. Can someone prove this from the basics? From starting from definition of complex functions and start from left of (I) and get to the right of (I). I know that complex times complex conjugate gives probability. Thank you!In the link this is introduced at page 2 as $$<f_i|f_j>$$