Recent content by Trance

Hello. A friend sent me the following problem that she wants to include in an essay: There are two epistemic peers whose mental faculties are of equal standing and who have access to all the same relevant evidence. The two go to dinner Case 1: One week later, the first man, A, states...

Homework Statement The star HD209458 has an orbiting planet. The planet has a transit with ephemeris HJD(TT) 2453344.768245 + 3.52474859 E I wish to view the transit of the planet from the WHT (William Herschel Telescope) in La Palma. On which night in 2014 is the transit best...

Okay, so now I have a superposition of the 3 states, complete with amplitudes. I've introduced a time dependence by setting \psi = \Sigma C_{i} U_{i} e^{\frac {-iE_{i}t} {h}} Which gives me a superposition state with 3 terms. Now, I want to find the probability of finding this particle...

I've been having a duh moment here...(I blame late night maths). it's clearly even, because the x has an even exponent. So multiplying by two is permitted.

It's an exponential, similar in form to: \int e^{-ax^2} dx = 0.5[\frac{\pi}{a}]^\frac{1}{2} Where the limits are taken over 0 and infinity for this identity. So, am I okay to multiply by two?

Thanks! To that end, I have a standard integral that gives the answer for the limits 0 and infinity. Is it simply a matter of multiplying by two or have I missed something?

Ah! Solved the maths problems... I have one more question, though. For a one-dimensional quantum harmonic oscillator, when determining the amplitudes,C_{i}, should I integrate from 0 to infinity, or from -infinity to infinity? I'm guessing it's the latter.

Hi all Homework Statement I have the first three states of the harmonic oscillator, and I need to know the amplitudes for the states after the potential is dropped.Homework Equations u_{0}=(\frac{1}{\pi a^{2}})^{\frac{1}{4}} e^{{\frac{-x^2}{2a^2}}} u_{1}=(\frac{4}{\pi})^{\frac{1}{4}}...

TSny, that is a fantastic catch. Thank you so much! This describes almost exactly what I was looking for.

Hello! Long time lurker, first time poster. This is the first of a couple of questions which has totally stumped me, although I have a feeling it's easier than it first seems. Homework Statement A particle is initially located at one of two atoms. The particle is subject to Hhop , a...

Hello everybody, long time reader, first time poster. I've searched the forums extensively (and what seems like 60% of the entire internet) for anything relevant and haven't found anything, please point me in the right direction if you've seen this before! Homework Statement Show that even...