Effects of cosmic string on non-relativistic quantum particles with potential and thermodynamic properties. (English) Zbl 1529.83091
Summary: In this work, we investigate the quantum dynamics of non-relativistic particles interacting with a potential in the background of the topological defect produced by cosmic strings. We choose a pseudoharmonic-type potential in the quantum system and determine the exact eigenvalue solution using the parametric Nikiforov-Uvarov method. It is shown that the energy eigenvalue and wave function is influenced by the topological defect and get them shifted compared to the flat space result with this potential. This eigenvalue solution is then utilized in some diatomic molecular potential models and presented as the eigenvalue solution. Finally, we study the thermodynamic properties of the quantum system at finite temperature \(T \neq 0\) and calculate the partition function with other thermodynamic quantities, such as the vibrational free energy, mean free energy, specific heat capacity, and entropy and analyze the effects on them.
MSC:
| 83F05 | Relativistic cosmology |
| 83E30 | String and superstring theories in gravitational theory |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81Q80 | Special quantum systems, such as solvable systems |
| 80A10 | Classical and relativistic thermodynamics |
| 35P15 | Estimates of eigenvalues in context of PDEs |
| 81V55 | Molecular physics |
| 82B30 | Statistical thermodynamics |
| 94A17 | Measures of information, entropy |
Keywords:
linear defects: cosmic strings; quantum mechanics; solutions of wave equation; special functions; thermodynamic functionsReferences:
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