Generating function for extended Jacobi polynomials, noncommutative differential calculus and the relativistic energy and momentum operators
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Dosyalar
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
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Yayıncı
Pleiades Publishing Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
It is shown that the generating function for the matrix elements of irreps of Lorentz group is the common eigenfunction of the interior derivatives of the noncommutative differential calculus over the commutative algebra generated by the coordinate functions. These derivatives commute and can be interpreted as the quantum mechanical operators of the relativistic momentum corresponding to the half of the non-Euclidean distance from the origin in the Lobachevsky momentum space.
Açıklama
Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics -- SEP 15-18, 2009 -- Kyiv, UKRAINE
Anahtar Kelimeler
Kaynak
Physics of Particles and Nuclei
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
41
Sayı
6
