Yayınlanmış 1 Ocak 1996
| Sürüm v1
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Açık
Generalization of Weierstrassian elliptic functions to R(n)
Oluşturanlar
Açıklama
The Weierstrassian rho, zeta and sigma functions are generalized to R(n). The n = 3 and n = 4 cases have already been used in instanton solutions which may be interpreted as explicit realizations of spacetime foam and the monopole condensate, respectively. The new functions satisfy higher dimensional versions of the periodicity properties and Legendre's relations obeyed by their familiar complex counterparts. For n = 4, the construction reproduces functions found earlier by Fueter using quaternionic methods. Integrating over lattice points along all directions but two, one recovers the original Weierstrassian elliptic functions.
Dosyalar
bib-874c8d84-5679-4391-8c34-f775614b14a3.txt
Dosyalar
(145 Bytes)
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