Bound state solutions with a linear combination of Yuakawa plus four-parameter diatomic potentials using path integral approach: Thermodynamic properties

• URL: http://arxiv.org/abs/2601.04806v1
• Date: Thu, 08 Jan 2026 10:39:30 GMT
• Title: Bound state solutions with a linear combination of Yuakawa plus four-parameter diatomic potentials using path integral approach: Thermodynamic properties
• Authors: Mohamed Améziane Sadoun, Redouane Zamoum, Abdellah Touati,
• Abstract summary: We investigate the approximate analytical bound states with a linear combination of two diatomic molecule potentials, Yukawa and four parameters potentials.<n>With the help of an appropriate approximation to evaluate the centrifugal term, the energy spectrum and the normalized wave functions of the bound states are derived.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we investigate the approximate analytical bound states with a linear combination of two diatomic molecule potentials, Yukawa and four parameters potentials, within the framework of the path integral formalism. With the help of an appropriate approximation to evaluate the centrifugal term, the energy spectrum and the normalized wave functions of the bound states are derived from the poles of Green's function and its residues. The partition function and other thermodynamic properties were obtained using the compact form of the energy equation.

Related papers

• Linear response theory for cavity QED materials at arbitrary light-matter coupling strengths [41.94295877935867]
  We develop a linear response theory for materials collectively coupled to a cavity that is valid in all regimes of light-matter coupling.<n>We compare two different approaches to obtain thermal Green functions.<n>We use a mean-field decoupling of high-order Green functions in order to obtain a closed, solvable system of equations.
  arXiv  Detail & Related papers  (2024-06-17T18:00:07Z)
• Bound polariton states in the Dicke-Ising model [41.94295877935867]
  We present a study of hybrid light-matter excitations in cavity QED materials.<n>We derive the exact excitations of the system in the thermodynamic limit.
  arXiv  Detail & Related papers  (2024-06-17T18:00:01Z)
• Energetics of the dissipative quantum oscillator [22.76327908349951]
  We discuss some aspects of the energetics of a quantum Brownian particle placed in a harmonic trap. Based on the fluctuation-dissipation theorem, we analyze two distinct notions of thermally-averaged energy. We generalize our analysis to the case of the three-dimensional dissipative magneto-oscillator.
  arXiv  Detail & Related papers  (2023-10-05T15:18:56Z)
• Eigen Solution and Thermodynamic Properties of Manning Rosen Plus Exponential Yukawa Potential [0.0]
  We obtained analytical bound state solution of the Schr"odinger equation with Manning Rosen plus Yukawa Potential. The energy eigen equation was determined and presented in compact form.
  arXiv  Detail & Related papers  (2023-03-21T11:56:32Z)
• Eigensolutions and Thermodynamic Properties of Kratzer plus generalized Morse Potential [0.0]
  We apply the parametric Nikiforov-Uvarov method to obtain the bound state solution of Schrodinger wave equation in the presence of Kratzer plus generalized Morse potential (KPGM) The resulting energy eigen equation were use to study partition function and other thermodynamic properties such as vibrational mean energy, vibrational specific heat capacity, vibrational mean free energy and vibrational entropy for the proposed potential as applied to lithium hydride diatomic molecule.
  arXiv  Detail & Related papers  (2022-02-19T18:51:32Z)
• Exact Solutions and Quantum Defect Theory for van der Waals Potentials in Ultracold Molecular Systems [17.17437183390107]
  We provide exact two-body solutions to the 2D and 3D Schr"odinger equations with isotropic van der Waals potentials.<n>We develop an analytical quantum defect theory applicable to both quasi-2D and 3D geometries.
  arXiv  Detail & Related papers  (2022-02-17T14:57:17Z)
• Approximate Solutions, Thermal Properties and Superstatistics Solutions to Schr\"odinger Equation [0.0]
  We study thermal properties and superstatistics in terms of partition function (Z) and other thermodynamic properties. The proposed potential model reduces to Hellmann potential, Yukawa potential, Screened Hyperbolic potential and Coulomb potential as special cases.
  arXiv  Detail & Related papers  (2021-10-16T22:02:50Z)
• Qubit thermodynamics far from equilibrium: two perspectives about the nature of heat and work in the quantum regime [68.8204255655161]
  We develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. We observe the appearance of a new term of work, which represents the energy cost of rotating the Bloch vector in presence of the external field that defines the local Hamiltonian. In order to illustrate our findings we study, from both perspectives, matter-radiation interaction processes for two different systems.
  arXiv  Detail & Related papers  (2021-03-16T09:31:20Z)
• Eigensolutions of the N-dimensional Schr\"odinger equation interacting with Varshni-Hulth\'en potential model [0.0]
  Solution of the N-dimensional Schr"odinger equation for the newly proposed Varshni-Hulth'en potential is presented. numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobis.
  arXiv  Detail & Related papers  (2020-12-26T22:54:13Z)
• Analytical Solutions of the Schrodinger Equation for Hua Potential within the Framework of two Approximations Scheme [0.0]
  We solve the Schrodinger equation for s-wave and arbitrary angular momenta with the Hua potential. Some special cases of this potentials are also studied.
  arXiv  Detail & Related papers  (2020-12-18T12:48:59Z)
• Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field [68.8204255655161]
  A connection between quantum mechanics and paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined.
  arXiv  Detail & Related papers  (2020-03-08T13:14:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.