A particle with mass m and energy E is trapped in a one-dimensional potential well U(x) with the following shape:

1. ???Find the (un-normalized) wave function for each region.
2. ???Show that

8. A particle with mass m and energy E is trapped in a one-dimensional potential well U(x) with the following shape: U., X 0 where U. > E. -a 0 a) Find the (un-normalized) wave function for each region. b) Show that 2 E sin V2mE = U