Recent content by Caulfield

It is a cylindrical ac machine. If we want to produce a sinusoidal voltage, we need B (magnetic density) to vary sinusoidally. To get B vary sinusoidally, we need to get H(magnetic intensity) to vary sinusoidally. To get H vary sinusoidal, the best way is to vary the numbers in the air gap...

When electrons leave the valence band and jump over the gap to the conduction band, what is the density of the remaining holes? If 2.5 electrons/cm^3 leave the VB to the CB, will the density of remaining holes be 2.5 electrons/cm^3? To me it is logical, but I am wondering if mass of electron...

Homework Statement Particle moves in one dimension in the potential shown here. The energy E is shown on the graph and the particle is in its ground state. Sketch ψ(x) Homework Equations ψ''+2m(E-V0)/ħ^2 ψ=0 The Attempt at a Solution For E>V0: The graph of ψ goes toward x...

right... so now i see it makes more sense to use ∫ψ∗(x)ψ(x)dx... ok, i got the result. thanks

x is d.

I made i typing mistake, I am sorry. so ψ1 = C1(2s)e^-((s^2)/2) Changing C1 and s gives ψ1 =(1/π^2√2)*(2*1/2)e^-((1/2^2)/2) which gives ψ1 =(1/π^2√2)e^-1/8 and ψ1*ψ1=(1/2π^4)e^-1/4

I changed C1 when n=1 and s(d) when d = (mk)^(-1/4) *√ħ/2. then ψ∗ψ=ψ^2 (since there is no i, ψ is real)

Homework Statement For the n = 1 harmonic oscillator wave function, find the probability p that, in an experiment which measures position, the particle will be found within a distance d = (mk)-1/4√ħ/2 of the origin. (Hint: Assume that the value of the integral α = ∫0^1/2 x^2e^(-x2/2) dx is...

Homework Statement I am solving a problem and I arrived near the end, and can't figure out what to do here: (1/(2m)) [P^2,X]+[P^2,X] m - mass P - Momentum operator X - Position operator Homework Equations P = -iħ(∂/∂x) [A,B]=AB-BA [AB,C]=A[B,C]+B[A,C] where A, B...

if they don't commute, for example: [A,B]=-iħ A(ψ)=a(ψ) BA(ψ)=Ba(ψ) -iħA(B(ψ))=aB(ψ) A(B(ψ))=(i/ħ)aB(ψ) but A(ψ)=aψ, and (i/ħ) is not equal to a. This means we have two different wave functions as eigenfunctions of the operator A. (So eigenstate is disturbed)...

Hello everybody. I am new here, and also new to quantum mechanics. This is the question to which I can't answer neither in mathematical nor physical way. a,b → observables (like position and momentum) A,B → corresponding operators. "It is possible for particles to be in a state of...