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Zero mode

From Wikipedia, the free encyclopedia

In physics, a zero mode is an eigenvector with a vanishing eigenvalue.[1]

In various subfields of physics zero modes appear whenever a physical system possesses a certain symmetry. For example, normal modes of multidimensional harmonic oscillator (e.g. a system of beads arranged around the circle, connected with springs) corresponds to elementary vibrational modes of the system. In such a system zero modes typically occur and are related with a rigid rotation around the circle.

The kernel of an operator consists of left zero modes, and the cokernel consists of the right zero modes.

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Transcription

References

  1. ^ Vaughn, Michael T. (2008). Introduction to Mathematical Physics. Germany: Wiley. p. 81. doi:10.1002/9783527618859. ISBN 9783527618859.


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This page was last edited on 6 February 2024, at 03:40
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