Recent content by BlackHole213

If I have the operator, ##e^{a\partial_p}## acting on ##f(p)##, I know that $$e^{a\partial_p}f(p)=f(p+a)\,.$$ If I have ##e^{a\partial_p^2}f(p)##, this is just the Weierstrass transform of ##f(p)##. However, what happens if I have a general operator, ##e^{g(p)\partial_p}## or...

I originally posted the following question on physics.stackexchange, but no one was able to answer it. I did find this answer on PhysicsForums, but I was already aware of the oscillation of electrons in response to an external electric field. What is the physical cause behind a material having...

Thanks! The book was extremely helpful.

How is an ancillary bit used in a logic gate? I looked at http://en.wikipedia.org/wiki/Ancilla_(quantum_computing ) as well as Quantum Computation and Quantum Information by Nielsen and Chuang, but neither source really explained how an ancillary bit is used (in a logic gate circuit) or...

I agree, proving it would be awful, to say to least. This may be a dumb question, but how do I know what the possible values of r_n and s_n are? I feel like I'm over-thinking this. For example, if I consider [X,Y], then r_n=s_n=r_1=s_1=1. If I just had the BCH formula as written by Dynkin...

I've been trying to understand the explicit CBH formula http://en.wikipedia.org/wiki/Baker–Campbell–Hausdorff_formula#An_explicit_Baker.E2.80.93Campbell.E2.80.93Hausdorff_formula However, I don't really understand how to know what the values of r_i and s_i are, where 1\leq i\leq n. Thanks.

Homework Statement An oscillator with free period \tau is critically damped and subjected to a force with the saw-tooth form \F(t)=c(t-n\tau) for (n-0.5)\tau<t<(n+0.5)\tau for each integer n. Find the amplitudes a_n of oscillation at the angular frequencies 2\pi n/\tau if c is a...

I've recently obtained Flugge's "Practical Quantum Mechanics." I've been going through his solution for Problem 39, but I'm having trouble getting equation (39.14) to match up with equations (29.10a-b) in the same graph. I've attached my Maple worksheet. It's interesting that for v=1, the plots...

Thank you so much! That really helps me.

I'll try to explain my question better. I understand how Lekner calculates the odd and even eigenstates for \nu=0,1,2 from equation 1. Lekner then states that reflectionless energy eigenstates can be formed from the superposition of the odd and even eigenstates. I'm not sure how he managed to...

I've looked at Flugge, but, unfortunately Google Books is missing a few crucial pages and my local university library does not carry it. I've requested it via interlibrary loan, but i do not know how long it will take to send to the University. I've looked at other references, but many of...

I know that the bound eigenstates for the reflectionless potential (Poschl-Teller potential) is \Psi_{\lambda,\mu}=P^{\lambda}_{\mu}(tanh(x)) where P^{\lambda}_{\mu} are the associated Legendre polynomials and \lambda is a positive integer while \mu is an integer able to take on values...

I got a voltage of about 6.692V. The digit after the 2 was fluctuating between 2 and 4. For the current, I got 1.236 mA with a similar fluctuation right after the 6. My assignment was to verify Kirchoff's current and voltage laws. Only a few of the calculations actually equal zero. The majority...

When using a multimeter, how come the values for the current and voltage fluctuate?

Thank you, both of you.