Recent content by cybla

Okay i understand, thank you very much

Hi, so i am looking at the quantization of the harmonic oscillator and i have the following equation... ψ''+ (2ε-y^{2})ψ=0 I am letting y\rightarrow \infty to get... ψ''- y^{2}ψ=0 It says the solution to this equation in the same limit is... ψ= Ay^{m}e^{\pm y^{2}/2} The positive...

alright, thank you for your help

Hi, i am evaluating the integral \int_{-\infty}^{+\infty}dE \langle p'|E \rangle \langle E| e^{-iEt/ \hbar} |p\rangle However, i am unsure how to evaluate \langle E| e^{-iEt/ \hbar} |p\rangle . I am not sure if it is simply e^{-iEt/ \hbar} \times \langle E|p\rangle or something else. Any...

Hi, i have a quick question on middle part of the integral. How do you evaluate <E|e^{-iEt/h}|p> ?

Disregard this post. I figured it out

Frobenius Method Exceptional case r1=r2 For the Frobenius Method for the exceptional case r1=r2... is the equation for the second solution y_{2}= y_{1} ln (x) + x^{r_{1}+1}\sum_{n=0}^{\infty}b_{n}x^{n} or y_{2}= y_{1} ln (x) + x^{r_{1}}\sum_{n=1}^{\infty}b_{n}x^{n} In a way both...

I figured it out. Thank you for your help

So if i change the summation index for the second derivative i get... \sum^{\infty}_{n=0}(n+2)(n+1)c_{n+2}x^{n} and the first power series reamins the same. Also for cosx it is \sum^{\infty}_{n=0}\frac{(-1)^{n}(x)^{2n}}{(2n)!} However, once i get to this stage... do i multiply...

Differential Equation (cosx)y"+y=0 using power/taylor series Homework Statement Find the first three nonzero terms in each of two linearly indepdent solutions of the form y=\sum(c_{n}x^{n}). Substitute known Taylor series for the analytic functions and retain enough terms to compute the...

alright i understand. So for this problem if a_{0}=0 and a_{1}=1 then the solution is y=x Thank you for your help

So the choice of a's (in this case a_{0} and a_{1}) is up to me, but the final answer has to satisfy the DE, right?

Ok... so y=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+a_{5}x^{5}... y"= 2a_{2}+6a_{3}x+12a_{4}x^{2}+20a_{5}x^{3}+30a_{6}x^{4}+42a_{7}x^{5}... x= 0+x+0x^{2}+0x^{3}+0x^{4}+0x^{5}... y"+y=x...

Homework Statement Find the particular solution to the ODE y"+y=x using power series Homework Equations y=\sum(a_{n}x^{n})The Attempt at a Solution i tried plugging in y=\sum(a_{n}x^{n}) into the original equation and comparing coefficients of x to the first degree, but i am not sure how to...

quick question. So for this question, y" - xy = 1...is the particular solution y=1?Also, how would i find the particular solution to y"+y=x?