- #1
ChrisLM
- 9
- 0
J.J. Sakurai Modern Quantum Mechanics p. 74
It says,
[A,H] = 0;
H|a'> = Ea' |a'>
where H is the Hamiltonian A is any observable |a'> is eigenket of A
then,
exp ( -iHt/h)|a'> = exp (-iEa't/h)|a'>
where h is the reduced Planck's constant.
I want to know WHY ?
and besides, I would like to ask what is generating function means?
I have encountered
xnew= x + dx
pnew = p
then generating function for infinitesimal translation is
F(x,P) = x · P + p · dx
How can I understand it ?
Thank You ! I wish this time is readily to read !
It says,
[A,H] = 0;
H|a'> = Ea' |a'>
where H is the Hamiltonian A is any observable |a'> is eigenket of A
then,
exp ( -iHt/h)|a'> = exp (-iEa't/h)|a'>
where h is the reduced Planck's constant.
I want to know WHY ?
and besides, I would like to ask what is generating function means?
I have encountered
xnew= x + dx
pnew = p
then generating function for infinitesimal translation is
F(x,P) = x · P + p · dx
How can I understand it ?
Thank You ! I wish this time is readily to read !