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Oxford University Press eBooks

Quantum theory and the Schrodinger wave equation

Iain Donald Campbell

Published Feb 16, 2012• 0 citations
Publisher

Abstract

The aim of this tutorial is to introduce some ideas about quantum mechanics. These are important for understanding spectroscopy (Sections 5 and 6) and aspects of molecular modeling (Section 8). We can adequately describe the behavior of most objects around us with observable quantities,...
DOI
10.1093/hesc/9780199642144.003.0040

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Chapter 2 begins with a discussion of the de Broglie wave concept that is the foundation of quantum mechanics. The idea that particles can exhibit wave-like behavior is an important part of the explanation of why atoms have discrete energy levels and make transitions in which electromagnetic radiation is absorbed or emitted at specific frequencies. Important aspects of how quantum systems may be observed and how they develop in time are presented. The Schrödinger equation is introduced and the importance of the wavefunction covered. Mathematical simplifications that arise from considering symmetry are covered. Several examples of simple quantum systems are presented in which the calculation of electronic energy structure based on boundary conditions is illustrated. Sections on wave–particle duality and quantum observables are followed by others on the dynamics of two-level systems, mathematically complete representations of arbitrary states, and standard approaches for handling the temporal development of wavefunctions.