i can only see that sakurai's conclusion is true if $V^\dagger$ is injective (which in this case is also equivalent to $V$ being bijective)

also i don't understand...doesn't sakurai's definition of the $S$-matrix implicitly force conservation of kinetic energy and so only describes elastic scattering? from what assumption did this come from?

it seems to come from the defining equation of the $T$-matrix (since this is where the energy conservation enforcing dirac delta comes from), so is this equation not always valid?

oh no i kee p asking questions in here and then realizing they are probably just better to make into a genuine question on the main sitet :P soryr

@ACuriousMind hm so when you say you didnt pay for it, does this mean you got money to go there? like for food and housing and whatnot? so there was literally no financial barrier to attending/there isnt the issue of some students having to work full time jobs alongside school to afford housing and food?

but in general i see your claims. that is interesting.

@SillyGoose FSDLFJDSKLFJ THIS IS THE BIGGEST LIE EVER lol

u r the largest prescriptivist i have ever seen

i just dont think language is like gymnastics XD i guess im prescriptivist then XD

You're right. Just as muscle cells are not the same as brain cells.

realistically im a mixture of prescriptivist and pragmatist

@Relativisticcucumber i think i am especially presciptivist for mathematics related contexts hehe since i prescriptively think that that is the one place where one must be prescriptivist to make any sense...

@SillyGoose nah

its every context

u pretend like u dont know what is being said if someone uses words "loosely"

"can you bring some soup"

hands a can of soup no can opener no bowl

u DiDnT sAy yOu wAnTeD tO eAt tHe SoUp

XD

LOL

smth only a prescriptivist would ask tsk tsk

ACMist

a follower of ACM

i was gonna say acm enters chat exclaims "well these are not probabilities"

:D

ok time for work bye all

cya pal