Product representation for the harmonic series of a unit vector: A string application

Details Product representation for the harmonic series of a unit vector: A string application Product representation for the harmonic series of a unit vector: A string application

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvl..63..474b&link_type=abstract

Physical Review Letters, Volume 63, Issue 5, July 31, 1989, pp.474-477

Statistics

Applications

9

Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We find a representation for the finite Fourier series of a vector whereby any constant constraint on its magnitude is completely solved and automatically satisfied. The representation is a product of rotations, one set for each harmonic, such that the independent degrees of freedom are identified as rotational angles and an infinite series is replaced by an infinite product. This can be applied to the study of relativistic strings, and other applications and generalizations are anticipated.

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