1,128 research outputs found
The Dirac particle on de Sitter background
We show that the Dirac equation on de Sitter background can be analytically
solved in a special static frame where the energy eigenspinors can be expressed
in terms of usual angular spinors known from special relativity, and a pair of
radial wave functions.Comment: 9 pages, Late
On the de Sitter Tardyons and Tachyons
It is shown that on the de Sitter manifolds the tachyonic geodesics are
restricted such that the classical tachyons cannot exist on this manifold at
any time. On the contrary, the theory of the scalar quantum tachyons is free of
any restriction. The tachyonic scalar and Dirac plane waves are deduced in this
geometry, pointing out that these are well-defined, behaving as tempered
distributions at any moment.Comment: 10 pages, 1 figure, some miss-prints are correcte
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