Abstract
The Schrödinger equation, a linear partial differential equation which describes the time evolution of quantum states, is the corner stone of quantum mechanics. Using the Schrödinger equation as the starting point, we are able to obtain information about the bound states, free states, energy levels, and time-evolution of a quantum system. However, whilst analytical solutions to the Schrödinger equation can be found for a few systems (for example, the quantum harmonic oscillator), in general it can only be solved numerically.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Izaac, J., Wang, J. (2018). One dimension. In: Computational Quantum Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-99930-2_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-99930-2_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-99929-6
Online ISBN: 978-3-319-99930-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)