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Journal of Chemical Education

On the use of the adiabaticity concept to obtain approximate solutions of the Schrödinger equation

Daniel A. Morales

Published Mar 1, 1990• 0 citations
Publisher

Abstract

In this paper the author discusses the use of the notion of adiabaticity to obtain approximate solutions of Schrödinger equation.
DOI
10.1021/ed067p211

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In the previous chapters, we have shown how to solve the Schrodinger equation for several systems as a particle in an infinite and finite potential well, scattering, harmonic oscillator, and hydrogen atom. For all these systems, we were able to solve Schrodinger's equation exactly. However, there are complicated potentials for which Schrodinger's equation cannot be solved exactly. For such situations, we resort to approximation methods for finding approximate solutions to the Schrodinger equation. In this chapter, we discuss several approximate methods for solving Schrodinger's equation.