Abstract
Utilizing the wave-optics equation derived by Maxwell, E. Schröinger inserted the de Broglie relationship to derive a time-independent equation with an embedded wave-particle dualism and energy quantization. This chapter illustrates the Schrödinger equation and its application to electrons composing atoms, an equation of motion for an electron. Simple illustrations examine electron energy quantization in atoms as well as so-called “free” electrons in a volumetric confinement such as an electrical conductor. This brief introduction to quantum mechanical principles as these relate to atomic structure represented by electrons occupying quantized energy states serves as a precursor to understanding matter or materials at the atomic or ionic level.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Moore WJ (1992) Schrödinger: life and thought. Cambridge University Press, Cambridge, UK
Muller-Kirsten HJW (2012) Introduction to quantum mechanics: schrödinger equation and path integral, 2nd edn. World Scientific, Miami
Murr LE (1978) Solid-state electronics. Marcel Dekker, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this entry
Cite this entry
Murr, L.E. (2015). A Brief Introduction to Quantum Mechanics. In: Handbook of Materials Structures, Properties, Processing and Performance. Springer, Cham. https://doi.org/10.1007/978-3-319-01815-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-01815-7_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01814-0
Online ISBN: 978-3-319-01815-7
eBook Packages: Chemistry and Materials ScienceReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics