ABSTRACT
The reader will already have noticed that a more delicate error analysis would sharpen the order of the error term. It is also evident that the conditions of $9.2 could be relaxed to some extent without invalidating the final result. Ex. 9.1 Show that the large eigenvalues of the system
10.1 Consider the differential equation
d w/dx2 = { - uy(x) + g ( x ) ) w, (10.01) in which f (x) and g(x) satisfy the conditions of $8.1. The solutions have exponential character between the turning points 9, and x,, and oscillate as x 4 + m. A physical problem represented by this mathematical model is the penetration of a one-dimensional wave through a potential barrier.'
