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  1. 1 Dariescu C.

  2. 1 Dariescu M.-A.

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Scalar particles mass spectrum and localization on FRW branes embedded in a 5D de Sitter bulk

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Dariescu M.-A., Dariescu C.
Open Physics
|
2014
|
vol. 12
|
issue 7
453-459
EN
In this paper, we study the scalar fields evolving on a FRW brane embedded in a five-dimensional de Sitter bulk. The scale function and the warp factor, solutions of the Einstein equations, are employed in the five-dimensional Gordon equation describing the massive scalar field, whose wave function depends on the cosmic time and on the extra-dimension. We point out the existence of bounded states and find a minimum value of the effective four-dimensional mass. For the test (scalar) field envelope along the extra-dimension, we derive the corresponding Schrödinger-like equation which is formally that for the Pöschl-Teller potential. Accordingly, we have obtained the quantization law for the mass parameter of the tested scalar field.
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