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Thank you that helps, I'll have to stare at that for awhile to let it sink in.

Thanks very much for the replys. gabba, That did occur to me, but I wasn't willing to make the concession that, \hat{a_{+}}\hat{a_{-}}|\alpha>=\alpha|\alpha> Was a general property and not \alpha specific.Is this a property of NORMALIZED eigenvectors(for which I should have specified...

That's correct.

Homework Statement The problem is to show that, \hat{a_{+}}|\alpha>=A_{\alpha}|\alpha+1> using \hat{a_{+}}\hat{a_{-}}|\alpha>=\alpha|\alpha>It's not hard to manipulate \hat{a_{+}}\hat{a_{-}}|\alpha>=\alpha|\alpha> into the form...

Ahh thank you very much, that's certainly good enough for me. I don't even want to say how much time I spent over complicating this trying to get the book's answer... Is that list online anywhere that you know of? I couldn't find it in the five minutes I spent looking. It may be of help later. :)

Thanks, that is indeed the problem I'm working on. And while I always like to think it's the book that's wrong it rarely turns out to be the case. If somebody(s) else could please confirm/disprove this I would feel better about letting this problem go.

Unless you are given the applied acceleration there is no right answer.

Thanks for the replies, it may take me awhile to get back to this but I do appreciate the help. Correct me if I'm wrong but it seems you are getting at using, du=c_{p}dT=dq dS\equiv\frac{dQ}{T}=C_{p}m\frac{dT}{T} \Rightarrow \Delta...

Homework Statement Find the entropy change of the system. 1kg of water is heated reversibly by an electric heating coil from 20C to 80C(c_{p}=4.18 X 10^{3}Jkg^{-1}K^{-1}).Homework Equations dU=TdS-PdV The Attempt at a Solution dV=0 dS=\frac{dU}{T}.... The answer is 1074J/K I think I'm...

Thank you Mapes. Of course those are not the max/min volumes. I was able to obtain the correct volume ratio buy utilizing PV^{\gamma}=constant for an an adiabat, \eta=1-\frac{T_1}{t_2}, and the given information.

\eta=1-\frac{T_{1}}{T_{2}} Is that what you mean? How does that help for an isotherm? I'm not sure what information to use regarding the Carnot cycle itself considering the question only asks about the isothermal expansion. For just the expansion with the ratio of volumes given my answer...

Think about what the period is, what it means. This is probably easier than you think.

Homework Statement A Carnot engine operates on 1 Kg of CH4, which we shall consider an ideal gas. Take \gamma=1.35. The ratio of max to min volume is 4 and the cycle efficency is 25%. Find the entropy increase during the isothermal expansion. [Classical and Statistical Thermodynamics...

Thanks, Dick and Unco. That is all I needed to do. Last night I was too worn out and unnecessarily threw out all of Unco's post at the sight of "contour integration". It's always the simple things I miss while trying to make problems much more complicated then they should be.

No, I don't know anything about contour integration or Cauchy's integral theorem. I also doubt my professor would expect us to. But thanks for the suggestion. I'll look into that at some point, it just won't be useful to me right now.