Recent content by Zaknife

Homework Statement Monochromatic beam of incident light on the surface of the glass wedge, whose upper edge is inclined at an angle of γ = 0.05 ° from the base. In reflected light observe a number of interference fringes, the distance between adjacent dark streaks is △X = 0.21 mm. Calculate...

Yes it's my homework actually. So the suggestion is to solve the radial equation, for the HO potential \frac{1}{2}\omega mr^{2}. For l=-1,0,1 and then "combine" it with the angular part of wavefunction for different m values ?

Homework Statement Find wave functions of the states of a particle in a harmonic oscillator potential that are eigenstates of Lz operator with eigenvalues -1 h , 0, 1 h and have smallest possible eigenenergies. Check whether these states are also the eigenstates of L^2 operator. Eventually...

Just to make it clear - i need to do all next steps with the radial part ?

Homework Statement Consider a Wavefunction: \psi(x,y,z)=K(x+y+x^2-y^2)e^{-r/a} Find expectation value of L^{2} , L_{z}^{2}, L_{x}^{2}. Homework Equations The Attempt at a Solution The first step would be a rewriting a wavefunction in terms of spherical coordinates: \psi=Kr(\cos\phi \sin...

So all i need to do is double integration ?

Homework Statement Particle is moving along the curve parametrized as below (x,y,z) in uniform gravitational field. Using Euler- Lagrange equations find the motion of the particle. The Attempt at a Solution \begin{array}{ll} x=a \cos \phi & \dot{x}= -\dot{\phi} a \sin \phi \\...

So, should i include first integral ? That was my problem/question ?

Ok , so far i have: \int_{??}^{??} A^{2} dx (?) -\frac{A^{2}}{\epsilon^{2}}\int_{a}^{a+\epsilon} (x-a-\epsilon)^{2} dx +\frac{A^{2}}{\epsilon^{2}}\int_{-a-\epsilon}^{a} (x+a+\epsilon)^{2} dx =1. My question is what are the integration limits for the first integral ?

Homework Statement Consider a force-free particle of mass m described, at an instant of time t = 0, by the following wave packet: \begin{array}{l} 0 \ \mathrm{for} \ |x| > a + \epsilon \\ A \ \mathrm{for} \ |x| ≤ a \\ -\frac{A}{\epsilon} (x − a − \epsilon) \ \mathrm{for} \ a < x ≤ a + \epsilon...