Using the finite basis set and time-independent perturbation approaches, calculate the energy separations between the first and second electron levels and between first and third energy levels over the range of fields (from f 0 to f 2) and plot these on a graph. 1.

The law of the conservation of momentum says that the total momentum of any closed and isolated system cannot

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?

Consider motion in one dimension. (the sign of the vector quantities is their direction indicator.) an object moves in the positive x-direction with speed 2.9 m/s for 4.5 s. it stops for 3.8 s and then moves in the negative x direction with speed 2.8 m/s for 4 s. what is the total distance traveled by the object in units of meter? enter a number with two digits behind the decimal point.