Hi Meir,
I use the following formulae.
\lambda = \frac{hc}{E12-E11}
In such a case
I have \lambda = \frac {8McL_y^2}{3h}
Taking Mass of electron as 9*10^31 kg
c as 3*10^8 m/sec Ly as 400nm and h as 6.634*10^-34, I get
\lambda = 0.16 m which is huge where as most of the wavelengths we...
Hi Galileo,
This is how I would proceed.I have attempted to find a solution to
the problem.Please guide me if am wrong as you did before.
General solution to Schroedinger equation:
psi(x,t) = phi(x) exp(-i(n+1/2)wt)
Now using phi(x) given in our problem
pxi(x,t) = A(ph1(x) +...
We have Heteronuclear diatomic molecules with atomic masses m1 and m2 and an internuclear distance R have rotational energy eigenvalues
EJ = BJ(J + 1) , J = 0, 1, 2, . . . when they are considered as a rigid rotor. The rotational constant is given by
B = h^2/2µR^2 with the reduced mass µ =...
Taking a particle m with box potential (one dimensional) where V(x) = 0 when mod(x) <=a and V(x) = infinity when mod(x) > a and where wave function phi(x) = A (phi1(x) + ph2(x)) where phi1(x) and phi2(x) are normalized wave functions of the ground state and first excited state
We need to Assume...
Assume that the wave function (x, t) at time t = 0 is given by
\psi (x,0) = \phi (x) as defined above. Find \psi (x, t) and \psi (x, t)^2 . We need to express the latter in terms of sine or cosine functions, eliminating the
exponentials with the help of Euler’s formula.
Abbreviation to be...
We know that the hermitian operator S interchanges coordinate x with −x. On consider
the Hamiltonian H = p^2/2m + V (x) for a particle in a one dimensional
symmetric potential V (x) = V (−x). What can be said
about the wavefunctions in view of what we proved above i.e A \psi = a \psi and B...
Thanks.
How can I figure this out to compare the wavelength of a photon emitted in a transition from the first excited state to the ground state with the spectrum of visible light in such a box.
I solved it no problems.It comes to one.All that needs to be done is substitution. The most crucial part of this problem is that additional factor r^2.Without that we cannot proceed anywhere.Thanks a lot for the hints.
How do I find the most probable value of radius r in the same question?
It is R which you denoted here so an r(square) term must be introduced when I integrate with respect to r is it not.
So it this should be finally integrated is it not
∞
∫ 4(1/ao)^3 e^(-2r/ao) r^2 dr
0
As I understand if we integrate it with respect to r then we don't need to apply in that general formulae at all since everrything else is a constant except e raised to -r/ao. Suppose we integrate with respect to ao then this formulae can be applied.What should we integrate with respect to ao or...