thank you but we did not do perturbation theory. actually this is takehome and it can be further subject which we did not know. if it is about perturbation theory how can i start and how can i solve it? what is the way of it? i have 3-4 hour :)
Homework Statement
Homework Equations
a(+) = (-ip+mwx)/(2hmw)^1/2
a() = (+ip+mwx)/(2hmw)^1/2
The Attempt at a Solution
can i use these operators to solve this problem? please help me i need to give this homework tomorrow morning :confused:
Homework Statement
there is a infinite quantum well with size L and there is a particle in it with mass m. suddenly the size of the quantum well is doubled. What will be the wave function at a later time t ?
Homework Equations
ψ= \sqrt{2/L} sin (n pi x / L)
E = n^2 pi^2 h^2 / 2mL^2...
Homework Statement
how can we find the force particle exert on the walls for classical particle which is the infinite quantum well of length L and particle mass is m?
Homework Equations
E=h^2 pi^2 n^2 / (2ml^2) for quantum
The Attempt at a Solution
and F = -dE / dL = h^2 pi^2 n^2...
thank you for your answer. now i am trying that
\frac{dψ}{dt} = \frac{iħ}{2m} d2ψ/dx2
after that i find that; (i send dt to right side)
ψ = ∫ \frac{iħ}{2m} d2ψ/dx2 dt
but i don't know how can i take the integral of right side?
after that i will use the <x> = ∫ψ* x ψ
is that...
Homework Statement
http://img853.imageshack.us/img853/2532/70224197.png
Homework Equations
i know schrödingher eq. and basic quantum formula
The Attempt at a Solution
i showed that the equality at the first question but i can not start from (a) part. how and where am i supposed to start...
Homework Statement
Homework Equations
-h^2/2m d^2F(x)/dx^2 = EF(x)
The Attempt at a Solution
i just need to a part. for E<0 i can find for 0<x<L side F(x) = ACos(Lx) + BSin(Lx)
at the L<x side, F(x) = e^(Kx) where
L^2= 2m(E+V)/h^2
K^2= -2mE/h^2
but i do not know what will i do. can...