Recent content by danJm

no, apparently i do not.

yes, spin 1/2 particles. The book we're using is Townsend, A Modern Approach to QM. The book starts with spin 1/2 particles and examination of the Stern-Gerlach experiment. When it's talking about finding the constants (e.g. 1/√2) it says one solution is to choose c+ and c- to be real...

Homework Statement Determine the column vectors representing the states |+x> and |-x> using the states |+y> and |-y> as a basis. Homework Equations ? The Attempt at a Solution The hint my prof gave us was that since |+x> = 1/√2|+z> + 1/√2|-z> we can eliminate the states |+z> and...

ah, this is when you square it, you do the complex conjugate. leaving me with sin^2(θ/2) for the probability of -ℏ/2 ya i knew that, i just failed at thinking... sigh..

ah, you i did, wow, thanks for the help. i believe Sz is the spin in the z direction. so the probability to find the particle in the +ℏ/2 is cos^2(θ/2) and for the -ℏ/2 = e^(2*i*phi)sin^2(θ/2)

Suppose that a measurement of Sz is carried out on a particle in the state |+n> what is the probability that the measurement yields (i)h(bar)/2 and (ii)-h(bar)/2? i wrote the inner product incorrectly, i assume that Sz = |<+z|+n>|2 so that would follow cos2(θ/2)(h(bar)/2)

further, the expectation value for this problem would just be <+z|+z>|^2 = cos^2(θ/2)h(bar)/2 yea?

i assumed the second term would go away because of <+z|-z> = 0

ok.. well the solution i come up with is <+z|+n> = cos(theta/2) i just have no idea if that's right

Homework Statement given |+n> = cos (θ/2)|+z> + e^(i*phi)sin(θ/2)|-z> i'm asked to find out what <+z|+n>= Homework Equations <+z|+z> = 1 <+z|-z> = 0 The Attempt at a Solution I am just unsure what <+z| is.. computing the inner product of the 2 quantum states to get the...