Abstract
Many systems involve constraints that generally lead to dynamical motion that is constrained in one way or another. For example, three-dimensional dynamical motion that is constrained to lie on a fixed two-dimensional surface, e.g., motion effectively lying on the surface of the Earth, would constitute constrained motion. Oftentimes, constraints are accompanied by superfluous degrees of freedom, variables whose values are not determined by the equations of motion but whose values must be chosen to fully determine the temporal evolution of the remaining variables. Such variables whose values are left undetermined by the equations of motion are called “gauge” variables; and the somewhat arbitrary choice of such variables to fix the behavior of all the variables is called “choosing a gauge.”
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
© 2011 Birkhäuser Boston
About this chapter
Cite this chapter
Klauder, J.R. (2011). Classical and Quantum Constraints. In: A Modern Approach to Functional Integration. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4791-9_9
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4791-9_9
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4790-2
Online ISBN: 978-0-8176-4791-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)