Consider the particle in a one-dimensional box (0 s x s l). assume a term is added to the hamiltonian of the form: πχ v(x)g sin sketch the potential and the expected eigenfunction (small g). in the limit of small g, find the second order correction to the ground state energy 2. (50 points) for a diatomic molecule rotating in free space, the hamiltonian may be written: 12 21 where l is the total angular momentum operator, and i is a constant (the moment of inertia). remember (0 eigenfunctions for the θ π; 0 φ 1 state are: 2π) and d-sin θ d θ d φ.

Awoodchuck would chuck all the wood he could chuck if a woodchuck could chuck wood.

Velocity=total displacement/timefrom house to store is 500 from store to neighbor is 200 therefore total displacement=500+200=700metrestherefore,700metres/910seconds=0.8metres per second

Distance covered = speed x timethe distance traveled going against the stream = distance traveled with the stream.therefore it is the speed and the time that are the variables.as he travels the same distance both ways, speed x time is the same for each way.going upstream his speed is 4 kph; going downstream his speed is 6 kph.therefore we have two simultaneous equations: time upstream x 4 = time downstream x 6time upstream + time downstream = 60 minutestherefore we have the equation: time upstream = 6/10 hour, time downstream therefore = 4/10 hour.distance traveled at 4km/hr in 6/10 hour = 24/10 = 2.4km.check: distance traveled at 6km/hr in 4/10 hour = 24/10 = 2.4km.