Rosen-Morse potential and gravitating kinks

2024/09/23 by Hui Wang, Yuan Zhong, Wang, Hui +3 · 4 citations
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2409.14761

openalex publication_date 2024/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that in a special type of two-dimensional dilaton-gravity-scalar model, where both the dilaton and the scalar matter fields have noncanonical kinetic terms, it is possible to construct kink solutions whose linear perturbation equation is a Schrödinger-like equation with Rosen-Morse potential. For this potential, eigenvalues and wave functions of the bound states, if had any, can be derived by using the standard shape invariance procedure. Depending on the values of the parameters, the stability potential can be reflective or reflectionless. There can be an arbitrary number of shape modes, but the zero mode is always absent.

Cited by

• Scheme Dependence of the One-Loop Domain Wall Tension
• Shape-invariant Potentials and Singular Spaces
• Kink collisions in a two-dimensional gravity model
• First Law for Nonsingular Black Holes in 2D Dilaton Gravity

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