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
- 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) - Quantum Simulation for Partial Differential Equations with Physical
Boundary or Interface Conditions [28.46014452281448]
This paper explores the feasibility of quantum simulation for partial differential equations (PDEs) with physical boundary or interface conditions.
We implement this method for several typical problems, including the linear convection equation with inflow boundary conditions and the heat equation with Dirichlet and Neumann boundary conditions.
For interface problems, we study the (parabolic) Stefan problem, linear convection, and linear Liouville equations with discontinuous and even measure-valued coefficients.
arXiv Detail & Related papers (2023-05-04T10:32:40Z) - 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) - Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via
coupled Heisenberg equations [23.87373187143897]
We study the isotropic Kitaev spin-$1/2$ model on the Bethe lattice.
We take a straightforward approach of solving Heisenberg equations for a tailored subset of spin operators.
As an example, we calculate the time-dependent expectation value of this observable for a factorized translation-invariant.
arXiv Detail & Related papers (2021-10-25T17:37:33Z) - 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) - 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) - 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.