Recent content by cgw

I am not quite clear on the use of Fourier series to solve the Schrödinger equation. Can you point me to a source of some simple one dimensional examples?

Any way to get solutions for the problems in Liboff - Introductory Quantum Mechs 4th Ed? (I'm not a student.)

Basically is it how the phases of the electrical system are connected. The voltage is a potential between phases. A wye connected 208 volt transformer has it's center leg connected to ground which we call 0. Then there is 120 volts between a phase pole and the ground pole and 208 volts between...

Not sure I get this. Elect-mag radiation is quantized and is compatable with field theory. Right?

You are correct about Maxwell's equations. I was just reading about this the other night in The Feyman Lectures on Physics. If you have access to this book (Vol II) it is covered pretty well. Maybe someone here can put it in a nutshell though.

Maybe a simple or stupid question so bear with me (it is late and I just thought of this). Assuming the existence of gravitons and assuming they are mass-less and travel the speed of light - how can they escape a black hole? Please point me in the right direction.

I am interested in several things. The conductivity of copper is about 1000X that of PEX but with the pipe buried in sand we do not need 1000X the amount of PEX for the same heat transfer. I did look at it as a steady state problem but it really is a transient problem. As I mentioned the...

Any practical application I can think of would have a moving fluid in the pipe. Maybe a constant temperature at the pipe surface would approximate the situation close enough. One of the applications I am looking at is the heat transfer difference when using a copper pipe vs. a plastic pipe.

I am now thinking that the boundary layer makes a significant difference. I am trying a finite difference with small delta r and small delta t on a spread sheet. It is limited but at least the numbers seem right.

My application is a pipe with a constant temperature fluid (water) buried in a solid (the ground) with a initial (lower) constant temperature at t=0. What is the temperature at time t and distance r? When will the heat transfer drop off to a certain rate? I though this would simple and the...

\theta = \mbox{erf} \left(\frac{x}{2\sqrt{\alpha t}}\right) is the solution to the one dimensional semi infinite solid. The radius of the pipe is too small to approximate it as a plane. The pipe wall thickness can be ignored for now (it is << than the solid). The function is...

Does anyone have a solution for the heat transfer from a pipe into a solid. I am looking for the temperature in the solid based on radius and time and also the heat transfer based on time. The temperature in the pipe (surface of the solid) is constant. The solid has a constant lower temperature...

The only question is the difference between PEX and copper pipe. All else would remain equal. So the question is (I think) what effect would the difference in conductivity have on the over all resistance between the deep sand and the water (per foot).

What is the effect of different tube material (conductivity) on the heat transfer from water in an infinite tube to a surrounding infinite solid? The actual practical application is transfer of heat from hot water (~180F) in 3/4" tubes into sand for heat storage (and then the transfer back)...

I have a blue hardback 1966 copy. Whre does that fit in? Same as blue paperback?