Does anyone know how to derive the spherical unit vectors in the cartesian basis? Or a good link that might show how its done?
I would also like to see it done for the cylindrical coordinates. I have tried to do it, especially for the spherical case, but i can only get r-hat.
It would be...
Sorry my E= -[(16mc^3)/(2h^2)+4c+(h^2)/(2m)) where c is actually labled alpha in the problem (i don't know how to do that fancy stuff lol so i just choose a random constant and forgot what i labled it)
Yes i have four coefficients, which ended up pairing off. I got the result that the two...
Off the top of their head, does anyone know how many bound states the potential v(x)=-c[d(x+a)+d(x-a)] might have?
I went through the problem as follows: got a growing exponential to the left of -a, got a growing plus a decaying exponential inbetween -a and a, and a decaying exponential to...
apparently <p^2>=a*(hbar)^2 LOL maybe ill try and work towards that, and see what to do, it says itll take a lot of alegbra to get it to that form though!
ya actually that would be good, I am still getting an imaginary left over in my <p>.
I'm trying to take a expectation value for momentum, the operator is h/i(d/dx) (hbar that is) and the actual thing I am taking the derivative of is this
e^(-(ax^2)/(1+2ihat/m)) (all constants except for...
Bleh ya, alright, i was hoping there was a shortcut. The actual problem is much nastier, and the u substitution is giong to be hard to apply throughout.
Thanks man!