Recent content by arp777

I see. So if I'm thinking solely in the spaceship's rest frame, I use the equation that describes time difference in a moving frame(S') relative to a rest frame (S): i.e. Δt = \gammaΔt' and Δt' = L_{o}(v/(c^2)) where Δt' = 7 years and v = velocity of the spaceship in it's own rest...

Homework Statement The distance from Planet X to a nearby star is 12 Light-Years (a light year is the distance light travels in 1 year as measured in the rest frame of Planet X). (A) How fast must a spaceship travel from Planet X to the star in order to reach the star in 7 years...

Homework Statement A particle of mass 'm' moves in a 1-dimensional harmonic oscillator potential. The particle is in the first excited state. Calculate < x >, < x^2 >, < p >, and < p^2 >. Homework Equations Harmonic oscillating potential ---> V = (1/2) K x^2 First excited state...

If a particle of mass moves in a One-Dimensional harmonic oscillating potential, and the particle is in the first excited state, what will it's wave function look like? And the significance of it being in the first excited state versus the ground state? Thanks for the input!

Hahah, well, it is a homework problem! But I get better help on here than I do in the study center without being given the answer in either place. (Believe me, I'm IN the study center right now). Kinda sad, huh!? Thanks for the help, ya'll.

Following my knowns, I'm tempted to say that: PQ = QP - Q ... based on the commutation relation. Which would mean that PQψ = QPψ - Qψ Showing you what I worked out before posting might help you understand where my confusion's coming from. I started with: relation: [Q,P] =...

So, my problem statement is: Suppose that two operators P and Q satisfy the commutation relation [Q,P] = Q . Suppose that ψ is an eigenfunction of the operator P with eigenvalue p. Show that Qψ is also an eigenfunction of P, and find its eigenvalue. This shouldn't be too difficult, but...