PHYSICS 137A Final: physics137A-sp2014-final-Markov-soln
Document Summary
Consider a three-dimensional vector space spanned by an orthonormal basis {|1i, |2i, |3i}. A construct bras h | and h | in terms of the dual basis vectors {h1|, h2|, h3|}. B find h | i and h | i. C find all matrix elements of the operator a = | ih |, in this basis, and write this operator as a matrix. | i = i|1i 5|2i i|3i , Problem 2 four particles in a square well. Consider a set of four noninteracting identical particles of mass m con ned in a one-dimensional in nitely high square well of length l. B suppose the particles are spinless bosons. N(x1, x2, x3, x4) and corresponding energies en in terms of your answers from part a: i"s and i"s. C if the particles are spin- 1. Express your answer in terms of single particle wavefunctions and energies from part a.
