Diatomic Molecules in deSitter and Anti-deSitter Spaces

• URL: http://arxiv.org/abs/2405.04502v1
• Date: Tue, 7 May 2024 17:24:20 GMT
• Title: Diatomic Molecules in deSitter and Anti-deSitter Spaces
• Authors: Meriem AbdelAziz, Mustafa Moumni, Mokhtar Falek,
• Abstract summary: The Schr"odinger equation for diatomic molecules in deSitter and anti-deSitter spaces is studied using the extended uncertainty principle formulation. The energy eigenvalues of the system have been derived analytically, and the exact expressions of the eigenfunctions are provided in terms of Romanovski and Jacobi deformations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Schr\"odinger equation for diatomic molecules in deSitter and anti-deSitter spaces is studied using the extended uncertainty principle formulation. The equations are solved by the Nikiforov-Uvarov method for both the Kratzer potential and the pseudoharmonic oscillator. The energy eigenvalues of the system have been derived analytically, and the exact expressions of the eigenfunctions are provided in terms of Romanovski and Jacobi polynomials. The impact of the spatial deformation parameter on the bound states is also examined, with experimental results used to establish an upper limit for this parameter.

Related papers

• Covariant non-perturbative pointer variables for quantum fields [44.99833362998488]
  We derive and renormalize the integro-differential equation that governs the detector pointer-variable dynamics. Our formal solution, expressed in terms of Green's functions, allows for the covariant, and causal analysis of induced observables on the field.
  arXiv  Detail & Related papers  (2025-02-03T11:53:31Z)
• Entanglement Hamiltonian and orthogonal polynomials [0.0]
  We study the entanglement Hamiltonian for free-fermion chains with a particular form of inhomogeneity. We show that this deformation is interpreted as a local inverse temperature and can be obtained in the continuum limit. Using this prediction, the properly rescaled eigenvalues of the commuting operator are found to provide a very good approximation of the entanglement spectrum and entropy.
  arXiv  Detail & Related papers  (2024-12-16T17:46:53Z)
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model [0.6554326244334868]
  The $mathcalPT$-broken phase closely matches the numerical exact one over a wide range of atomic frequencies. By analyzing the dynamics of excited-state population, we observe several stable oscillations in the Fourier spectrum. The present analytical treatment provides a concise and accurate description of the main physics of this non-Hermitian atom-field interaction system.
  arXiv  Detail & Related papers  (2024-12-04T00:08:45Z)
• Integral quantization based on the Heisenberg-Weyl group [39.58317527488534]
  We develop a framework of integral quantization applied to the motion of spinless particles in the four-dimensional Minkowski spacetime. The proposed scheme is based on coherent states generated by the action of the Heisenberg-Weyl group. A direct application of our model, including a computation of transition amplitudes between states characterized by fixed positions and momenta, is postponed to a forthcoming article.
  arXiv  Detail & Related papers  (2024-10-31T14:36:38Z)
• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra [0.0]
  We use a generalized tanh shaped hyperbolic potential to investigate bound state solutions of the Dirac equation. Results indicate that the energy eigenvalues are strongly correlated with the potential parameters. Using this potential to model mass spectra of charmonium and bottomonium, we show that results for the calculated quark mass spectra align closely with experimentally observed values.
  arXiv  Detail & Related papers  (2024-09-23T20:40:59Z)
• Bound polariton states in the Dicke-Ising model [41.94295877935867]
  We present a study of hybrid light-matter excitations in cavity QED materials. We derive the exact excitations of the system in the thermodynamic limit.
  arXiv  Detail & Related papers  (2024-06-17T18:00:01Z)
• Necessity of orthogonal basis vectors for the two-anyon problem in one-dimensional lattice [4.5808056387997516]
  We solve the finite difference equations for the two-anyon state in the one-dimensional lattice. Our findings are vital for quantum simulations of few-body physics with anyons in the lattice.
  arXiv  Detail & Related papers  (2024-05-13T01:42:26Z)
• Quantum simulation of the Fokker-Planck equation via Schrodingerization [33.76659022113328]
  This paper studies a quantum simulation technique for solving the Fokker-Planck equation. We employ the Schrodingerization method-it converts any linear partial and ordinary differential equation with non-Hermitian dynamics into systems of Schrodinger-type equations.
  arXiv  Detail & Related papers  (2024-04-21T08:53:27Z)
• Phase-space representation of coherent states generated through SUSY QM for tilted anisotropic Dirac materials [0.0]
  We focus on a distinct non-zero electric field magnitude, enabling the decoupling of the differential equation system inherent in the eigenvalue problem. Supersymmetric quantum mechanics facilitates the determination of eigenstates and eigenvalues corresponding to the Hamiltonian operator.
  arXiv  Detail & Related papers  (2024-03-27T23:04:51Z)
• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• Fermionic approach to variational quantum simulation of Kitaev spin models [50.92854230325576]
  Kitaev spin models are well known for being exactly solvable in a certain parameter regime via a mapping to free fermions. We use classical simulations to explore a novel variational ansatz that takes advantage of this fermionic representation. We also comment on the implications of our results for simulating non-Abelian anyons on quantum computers.
  arXiv  Detail & Related papers  (2022-04-11T18:00:01Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space [0.0]
  We study the two dimensional deformed bosonic oscillator equations for charged particles (both spin 0 and spin 1 particles) We consider the presence of a minimal uncertainty in momentum caused by the Anti-deSitter model. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein-Gordon and scalar Duffin-Kemmer-Petiau cases.
  arXiv  Detail & Related papers  (2021-02-23T14:33:03Z)
• Exact Solution of Schr\"odinger Equation in (Anti-)de Sitter Spaces for Hydrogen Atom [0.0]
  We write Schr"odinger equation for the Coulomb potential in de Sitter and Anti-de Sitter spaces. We use the Nikiforov-Uvarov method to solve equations.
  arXiv  Detail & Related papers  (2020-06-26T20:55:01Z)

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.