Recent content by Aler93

Thanks, I was complicating myself, I finally obtained the three acceleration transformations. Thanks for your help!

I talk with the teacher and he made some corrections: System S' moves with constant speed v=(vx,0,0) respect to the system S. On the S' system a particle moves with a constant acceleration a'=(ax',ay',az'). What is the acceleration a'=(ax,ay,az) measured from the system S?. In this case I used...

I know, but I´m using the same notation that it´s used in the problem. Solving the problem I´m finding the unprimed acceleration as its seen from the system S.

Homework Statement System S' moves with constant speed v=(vx,0,0) respect to the system S. On the S' system a particle moves with a constant acceleration a=(ax,ay,az). What is the acceleration a'=(ax',ay',az') measured from the system S?. Homework Equations Lorentz transformation The Attempt...

I suppose it´s someththing like this, at page 2: http://www.physics.rutgers.edu/~steves/501/Lectures_Final/Lec15_2d_Harmonic_Oscillator.pdf So what I understand; what we do is transform the 2d harmonic oscilator problem, into 2 1D harmonic oscilators equations, solving the Harmonic Oscillator...

A question, ih this correct? $$ H_1 \psi_{pq}(x,y)=H_1u_p(x)$$ As ##H_1## only depends of X, and from your last post you say ##u_p(x)## was the ##H_1## solution, Is it true? Or i´m misreading

I´ll be the superposition rigth? If ##U_m(x)## and ##U_n(y)## are the solutions, the total Hamiltonian is $$H= U_m(x) + U_n(y)$$

Developing the Laplacian for a 2D harmonic oscilator, i´ll be $$H=\frac{\hbar^2}{2m} (\frac{\partial^2}{\partial x^2}+\frac{\partial^2}{\partial y^2)+\frac{1}{2}m^2w^2(x^2+y^2)$$

No, i don´t know, I'm really cinfused about it

I find that the hamiltonian of the isotropic harmonic oscillator is $$H=\frac{\hbar^2}{2m} \nabla^2+\frac{1}{2}m^2w^2p^2$$ that's what you mean ?

Homework Statement At t=0 the wave function of a two-dimensional isotropic harmonic oscilator is ψ(x,y,0)=A(4α^2 x^2+2αy+4α^2 xy-2) e^((-α^2 x^2)/2) e^((-α^2 y^2)/2) where A its the normalization constant In which instant. which values of total energy can we find and which probability...