Recent content by Identify

Shouldn't a wavefunction resemble a wave? ie be periodic?

I'm obviously overlooking something important here. Please help.

Because its not a periodic function.

The resonant frequency of water at 10C is ~ 2.45GHz and at room temperature which is about 20C its ~22GHz. A difference in half the temperature is equivalent to an order of magnitude in the frequency. Is this a linear correlation? ie is the resonant frequency at 0C ~.2GHz?

Homework Statement A particle moving in a one-dimensional potential is in a state such that its wavefunction at time t=0 is: Psi(x,0)=A(x-a)x, 0<=x<=a, and Psi(x,0)=0, otherwise. Sketch |Psi(x,0)|^2, which gives the probability distribution describing the position of the particle at...

n is an integer. n(lambda)=nh/p. So Lambda = h/p. I have it now. Thankyou very much.

Homework Statement If the uncertainty in the location of a nonrelativistic particle is about equal to twice its de-Broglie wavelength, show that the uncertainty in its velocity is greater than about 4% of its velocity. Homework Equations ΔpΔx>h/4Pi p=mv Δx=2nλ The Attempt at a...

Thanks very much.

Homework Statement Prove that d/dt[r.(vxa)] = r.(vxda/dt) Homework Equations r, v, a are position, velocity and acceleration vectors. ..r.(v.. is the dot product. ..vxa.. is the cross product The Attempt at a Solution I expand the equation using the product rule for dot and...

To find the distance from the origin I take, |r(t)|=((bcos(ωt))^2 + (2bsin(ωt))^2))^1/2 Is there a way I can use the sin^2(u) + cos^2(u) = 1 identity to simplify this any further? Or is this the simplified form? If the identity can be used here I am having trouble with the b and 2b...

Thanks gneill. I think when 2 periodic functions are added their periods are Pi(the lowest common multiple of the two periods). In this case the answer would be T=2Pi/w, since the period of the cos and sin functions are both 2Pi.

Homework Statement A ball of mass m fastened to a long rubber band is spun around so that the ball follows an elliptical path about the origin given by: r(t)=bcos(ωt)e(x)+2bsin(ωt)e(y) b, ω constants bold type indicates vectors Find the period of the balls motion. Homework...