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| Paper IPM / P / 8492 |
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| Abstract: | |||||
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In this paper, we study the braneworld scenarios in the presence of two real scalar fields coupled
by gravity. The first-order formalism for the bent brane (for both de Sitter and anti-de Sitter geometry),
leads us to discuss the shape invariance method in the bent brane systems. So, by using the fluctuations of
metric and fields we obtain the Schr�odinger equation. Then we factorize the corresponding Hamiltonian in
terms of multiplication of the first-order differential operators. These first-order operators lead us to obtain
the energy spectrum with the help of shape invariance method.
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