next up previous
Next: About this document Up: Particle in a Previous: Semi Classical Quantization

Correspondence Principle

From (20) we have

and so as . In this limit,

And, using (19)

is in perfect accord with (11)!

Qualitatively, we see that as we increase E, the particle moves faster so that decreases. This decrease in must then correspond to the increase in the spacing as E increases, as we see in Figure 3.2.



Prof. Tomas Alberto Arias
Wed Oct 11 20:51:17 EDT 1995