Problem 1 (20 points) (A) For each of the following (separate) situations write down the most general coordinate space wavefunction: (10 points) a) A particle in one dimension with linear momentum p of unspecified sign. b) A particle in three dimensions with definite components of linear momentum px and py. c) A particle in three dimensions with definite angular momentum / and z-component m. d) A particle in three dimensions with definite angular momentum/ but with unspecified z-component. e) A particle in three dimensions with unspecified total angular momentum but with definite z-component m