Abstract
In this section I will put the hamwnic oscillator in its place-on a pedestaL Not only is it a system that can be exactly solved (in classical and quantum theory) and a superb pedagogical tool (which will be repeatedly exploited in this text), but it is also a system of great physical relevance. As will be shown below, any system fluctuating by small amounts near a configuration of stable equilibrium may be described either by an oscillator or by a collection of decoupled harmonic oscillators. Since the dynamics of a collection of noninteracting oscillators is no more complicated than that of a single oscillator (apart from the obvious N-fold increase in degrees of freedom), in addressing the problem of the oscillator we are actually confronting the general problem of small oscillations near equilibrium of an arbitrary system.
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
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Shankar, R. (1994). The Harmonic Oscillator. In: Principles of Quantum Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-0576-8_7
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0576-8_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-0578-2
Online ISBN: 978-1-4757-0576-8
eBook Packages: Springer Book Archive