Recent content by StarTiger

Homework Statement "A spin 1/2 electron in a hydrogen atom is placed in a time-independent magnetic field B=B0(k) The electron's spin starts in the |z+> state at t=0. Calculate probability o ffinding the electron in the |y-> state as a function of time for t>0. Homework Equations...

Tricky problem. Any tips? Thanks SOO much! :biggrin: Homework Statement Let f be continuous on [a,b] and let c be a real number. If for every x in [a,b] f(x) is NOT c, then either f(x) > c for all x in [a,b] OR f(x) < c for all x in [a,b]. Prove this using a) Bolzano-Wierstrass and b)...

Okay...this is starting to make more sense now. Thanks for the tips. When I get it I'll try to upload what I have.

Could someone help me with this? I feel it should likely be easy, but I'm baffled anyway: Homework Statement Prove the validity of the limit lim x -> x_0 sqrt(x) = sqrt(x_0) Homework Equations use definition of limitThe Attempt at a Solution Generally confused. I start with |sqrtx - sqrtx0|...

For some reason this proof in thermal is tripping me up. Homework Statement Show that (du/dP)|t = Pkv - (cp - cv)K/B (problem 4-4 in Carter or 1.14 in Cheng) Homework Equations B = 1/v(R/P) = 1/T k= -1/v(-RT/p^2) = 1/P The Attempt at a Solution Start with 1st law dq=(du +...

Homework Statement Suppose that a sequence {s_n} of positive numbers satisfies the condition s_(n+1) > αs_n for all n where α > 1. Show that s_n → ∞ My teacher mentioned something about making it into a geometric sequence and taking the log. I'm just confused. Homework Equations...

Start with definition of infimum and supremum. Then take sup A where A is a set of real numbers. Define a set B = -A. Take inf of B.

Homework Statement Limit of {sn} as n goes to infinity exists provided for all sigma >0 there exists some integer N such that |sn-L| < sigma where n greater than or equal to N. Prove equivalent to alternate definition: limit exists provided that for every positive inteer m there...