Recent content by rockstar101

Homework Statement Hello, I'm in the middle of a question and I need to expand 1/(x√(1-2cosθ/x)) in powers 1/x up to order of 1/x^3 Homework Equations The Attempt at a Solution This is my attempt to the more complicated question. To get to the final answer, I need...

is the gravitational potential measuring from a point on Z axis same as the gp measured on a point on X axis?

Homework Statement When finding the gravitational potential of a thick walled hollow cylinder from the point P, located along the X-axis, can I find the Gravitational potential of a solid cylinder and then subtract the gravitational potential of a smaller (inner empty) cylinder...

sorry. I don't know how I can erase this one... I posted the corrected question.

Homework Statement An electron is in the spin state in the Sz representation |ψ> = A (1-2i 2)T <- this is a 2 X 1 matrix If Sx is measured, what values and probabilities do you get? What is the expectation value of Sx? Homework Equations The Attempt at a Solution...

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ok so I figured out the three eigenstates: for E= E1 eigenstate is |I> = 0|1> + 1|2> + 0 = |2> since the eigenvector is (0 1 0)T for E= Eo + A eigenstate is |II> = 1/√2 |1> + 1/√2|3> b/c eigenvector is 1/√2( 1 0 1)T for E= Eo - A eigenstate is |III> = 1/√2|1> -...

From (Eo - E)^2 (E1 - E) + A^2(E1 - E) = 0 I simplified to get (E1 - E)[ (Eo - E)^2 + A^2] = 0 Thus, Eo - E = +/- A Hence my three eigenvalues are E = Eo - A, E= Eo + A, E = E1 but I'm having trouble finding the eigenstate because Eo and E1 are different.

Thanks Feldoh, I think my second and third eigenvalues are E = Eo + A and E = Eo - A. So I'm assuming there will be three eigenstates... but I really don't have a clue how I can obtain those eigenstates. How can I find the eigenstates?

Homework Statement Let ( Eo 0 A ) ( 0 E1 0 ) ( A 0 Eo ) be the matrix representation of the Hamiltonian for a three state system with basis states |1> |2> and |3> . If |ψ(0)> = |3> what is...