Nonrelativistic particles in the presence of a Cariñena–Perelomov–Rañada–Santander oscillator and a disclination
Soroush Zare, H. Hassanabadi, M. de Montigny
Abstract
We examine an elastic medium with a disclination and consider the topological effects in the presence of a nonpolynomial quantum exactly solvable nonlinear oscillator potential related to the isotonic oscillator, and to which we refer as the Cariñena–Perelomov–Rañada–Santander (CPRS) potential. We obtain the wave functions, which are related to the confluent Heun functions, as well as the energy eigenvalues by solving exactly the corresponding radial Schrödinger equation.
Topics & Concepts
PhysicsEigenvalues and eigenvectorsMathematical physicsDisclinationWave functionIsotonicQuantumQuantum mechanicsOpticsLiquid crystalInternal medicineMedicineQuantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaQuantum, superfluid, helium dynamics