Continuous Symmetries
The two examples of rotational symmetry described above - spherical and cylindrical - are each instances of continuous symmetry. These are characterised by invariance following a continuous change in the geometry of the system. For example, the wire may be rotated through any angle about its axis and the field strength will be the same on a given cylinder. Mathematically, continuous symmetries are described by continuous or smooth functions. An important subclass of continuous symmetries in physics are spacetime symmetries.
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Famous quotes containing the word continuous:
“The problem, thus, is not whether or not women are to combine marriage and motherhood with work or career but how they are to do so—concomitantly in a two-role continuous pattern or sequentially in a pattern involving job or career discontinuities.”
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