Physics 591 - Homework Set # 1 Due: Monday, August 30 5 pm 1. Consider the set of real valued, two by two matrices. a) Show that this set is a linear vector space with the vector addition operator bei
Physics 591 - Homework Set # 2 Due: Wednesday, September 8 5 pm 1. Consider the matrix
a) Show that it is unitary b) Find its eigenvalues c) Find the corresponding eigenvectors and show that they are
Physics 591 - Homework Set # 3 Due: Monday, September 13 5 pm THIS HOMEWORK MUST BE DONE BY HAND, NO MATHEMATICA ALLOWED! 1. Consider a system in which there are only two linearly independent states.
Physics 591 - Homework Set # 4 Due: Monday, September 20 5 pm 1. Consider example 4.2.1 discussed in class. In the basis in which is given by is diagonal the operator
there are 1000 particles in a sta
Physics 591 - Homework Set # 5 Due: Monday, September 28 5 pm 1. In class we considered the problem of a particle of mass m that is conned to exist on a circular ring of circumference a. We solved the
Physics 591 - Homework Set # 6 Due: Monday, October 4, 5 pm 1. In class we proved a theorem stating that one-dimensional bound state problems are not degenerate. However, in another class we discussed
Physics 591 - Homework Set # 7 Due: Monday, October 11, 5 pm
1. (7.3.5) a) Using symmetry arguments show that (for the harmonic oscillator) and thus that in these states. Show that
Show that the groun
Physics 591 - Homework Set # 9 Due: Monday, October 25, 5 pm 1. Consider a particle subject to a constant force f in one dimension. Solve for the propagator in momentum space to get
Transform back to