ABSTRACT

This chapter serves as a very brief introduction to asymptotic methods, which can be used if the differential equation, system of equations, or problem to be solved contains a small or large parameter. Examples of such problems include:

1◦. The Schro¨dinger equation in quantum mechanics. The equation contains Planck’s constant ~. If we are in a situation where Planck’s constant can be viewed as a small parameter, then one can try to solve problems for the Schro¨dinger equation asymptotically as ~→ 0. This is known as the semiclassical approximation.