2007/12/12 by M. R. Setare, J. Sadeghi, Alireza Amani +1 · 4 citations
Mathematics · Physics and Astronomy · #Algorithm #Bent molecular geometry #Black Holes and Theoretical Physics #Brane #Classical mechanics #Cosmology and Gravitation Theories #De Sitter universe #Factorization #Galaxies: Formation, Evolution, Phenomena #Hamiltonian (control theory) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Theoretical physics #Warp drive #hep-th
paper · pdf · doi:10.1016/j.physletb.2008.01.024
published as Phys.Lett.B660:299-306,2008 · 13 pages, no figure
arxiv created 2007/12/12 · openalex publication_date 2008/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the present Letter, we study the braneworld scenarios in the presence of quintom dark energy 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 quintom fields we obtain the Schrödinger 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.