Abbad Moussa, Houcine Aounallah, Sebastián Valladares, Clara Rojas
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A Relativistic Position–Dependent Mass System of Bosonic Field in Cosmic String Space–Time Background
In this work, we investigate the relativistic quantum motion of spin–zero scalar bosons via the Duffin–Kemmer–Petiau (DKP) equation with a position–dependent mass (PDM) system in the background of the topological defect space–time produced by a cosmic string. We determine the radial wave equation and obtain the exact analytical solutions of the wave equation for the linear and Cornell–type potential through the Bi–Confluent Heun differential equation. In fact, we have obtained the ground state energy for both potentials.
期刊介绍:
The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures.
Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal.
The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).