FIZIKA B 9 (2000)  2, 49-54

DIRAC EQUATION WITH FRACTIONAL DERIVATIVES OF ORDER 2/3

ANDREA RASPINI

Department of Physics, SUNY at Fredonia, Fredonia, NY14063, U. S. A.
E-mail:Raspini@Fredonia.EDU

Received 19 January 2000 ; Accepted 12 June 2000

In conventional spacetime, a Dirac-like equation with fractional derivatives of order 2/3 is introduced. The corresponding g matrix algebra relates to generalized Clifford algebras: finite representations exist with smallest dimension N = 9 .

PACS numbers: 03.65.Pm,
UDC 539.124

Keywords: Dirac-like equation, fractional derivatives, generalized Clifford algebras

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