Recent content by qualal

apologies, I said to equate the denominators in an earlier post. I meant to say "equate numerators"

you leave x as an unknown. Instead you will need equate the coefficients of x^{0},x^{1},x^{2} this will give you enough equations to solve for A,B and C

You need to make the three "fractions" you have on the LHS into just one "fraction" (google "addition and subtraction of algebraic fractions" as a hint). once you have that you can then equate the denominators numerators in a separate equation. Then you can start to solve for A, B and C

thanks so much! this has been bothering me all day! I used \left[ a,a^{t}\right]= a a^{t}-a^{t} a =1 and re-arranged to get a a^{t}-1=a^{t} a which I then sub straight into the first line :-)

Apologies I mistyped when I wrote Ha^{t}\left|\Psi\right\rangle I meant to say Ha\left|\Psi\right\rangle does this make more sense now? It now looks just like your second hamiltonian multiplied by "a" to me.

Homework Statement Hi, I'm currently studying for a quantum mechanics exam but I am stuck on a line in my notes: Ha\left|\Psi\right\rangle =\hbar\omega\left(a^{t}a a + \frac{a}{2}\right)\left|\Psi\right\rangleHa\left|\Psi\right\rangle =\hbar\omega\left(\left(a a^{t} - 1\right)a +...