The study of the generalized boson oscillator in a chiral conical space–time

2020 ◽  
Vol 35 (20) ◽  
pp. 2050107
Author(s):  
Hao Chen ◽  
Zheng-Wen Long ◽  
Yi Yang ◽  
Zi-Long Zhao ◽  
Chao-Yun Long
Keyword(s):  
Wave Function ◽  
Energy Spectrum ◽  
Space Time ◽  
Global Structure ◽  
Rotation Parameter ◽  
Radial Equation ◽  
Cornell Potential ◽  
Uvarov Method ◽  
Potential Parameters ◽  
Negligible Influence

Our work mainly study the relativistic generalized boson oscillator namely generalized Duffin–Kemmer–Petiau (DKP) oscillator with the function [Formula: see text] considered as the Cornell potential under the chiral conical space–time background. We obtain the wave function and energy spectrum of radial equation by using commonly used the Nikiforov–Uvarov method. It is shows that the energy spectrum of the generalized DKP oscillator depend explicitly on the angular deficit [Formula: see text], related rotation parameter [Formula: see text] and torsion parameter [Formula: see text], which characterize the global structure of the metric in the chiral conical space–time. In addition, the Cornell potential parameters [Formula: see text] have non-negligible influence on the energy spectrum of the studied systems.

Bohr Hamiltonian with screened Kratzer potential for triaxial nuclei

2020 ◽  
Vol 29 (10) ◽  
pp. 2050082
Author(s):  
Y. Omon ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
G. H. Ben-Bolie ◽  
P. Owono Ateba
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Energy Spectrum ◽  
Experiment Data ◽  
Uvarov Method ◽  
Good Agreement

In this paper, Bohr Hamiltonian is used to describe the behaviors of triaxial nuclei with screened Kratzer potential. The Nikivorov–Uvarov method is used to derive the energy spectrum and corresponding wave function. The electric quadruple transition ratios and energy spectrum of the [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Pt, [Formula: see text]Pt and [Formula: see text]Pt are calculated and compared with the experimental data. The results are in good agreement with experiment data.

Gamma-rigid regime of the Bohr–Mottelson Hamiltonian in energy-dependent approach

2016 ◽  
Vol 25 (10) ◽  
pp. 1650087 ◽  
Author(s):  
M. Alimohammadi ◽  
H. Hassanabadi
Keyword(s):  
Wave Function ◽  
Energy Spectrum ◽  
Density Distribution ◽  
Probability Density ◽  
Energy Levels ◽  
Coulomb Energy ◽  
Probability Density Distribution ◽  
Transition Rates ◽  
Energy Dependent ◽  
Potential Parameters

We determine the energy spectrum and wave function for the Bohr–Mottelson Hamiltonian on [Formula: see text]-rigid regime separately with the harmonic and Coulomb energy-dependent potentials. We study the effect of potential parameters on the energy levels and probability density distribution. The transition rates are determined in each case.

Study of the Dirac oscillator in the presence of vector and scalar potentials in the cosmic string space-time

2020 ◽  
Vol 35 (21) ◽  
pp. 2050179
Author(s):  
Hao Chen ◽  
Zheng-Wen Long ◽  
Yi Yang ◽  
Chao-Yun Long
Keyword(s):  
Cosmic String ◽  
Topological Defect ◽  
Energy Levels ◽  
Bound State ◽  
Space Time ◽  
Dirac Oscillator ◽  
Ansatz Method ◽  
Cornell Potential ◽  
Scalar Potentials ◽  
Potential Parameters

In this paper, we use the functional Bethe ansatz method to solve the radial problem of the Dirac oscillator in cosmic string space-time, and its general solution under the Killingbeck potential plus isotonic oscillator potential in the limit of the spin and the pseudo-spin symmetries are further presented. Corresponding to the expressions of energies and wave function of bound state and first excited state are given. Furthermore, some particular cases including the Cornell potential, the Kratzer potential, the Killingbeck potential and the isotonic oscillator potentials are also addressed. It shows that the energy levels of the systems depend explicitly on the potential parameters [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and the angular deficit parameter [Formula: see text] which characterize topological defect.

Bohr Hamiltonian of triaxial nuclei using Morse plus screened Kratzer potentials with the extended Nikiforov–Uvarov method

2021 ◽  
Author(s):  
S. Haman Adama ◽  
D. Nga Ongodo ◽  
A. Zarma ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
...  
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Energy Spectrum ◽  
Electric Quadrupole ◽  
Transition Rates ◽  
Quadrupole Transition ◽  
Electric Quadrupole Transition ◽  
Heun Functions ◽  
Uvarov Method ◽  
Theoretical Results

In this work, Bohr Hamiltonian is used to explain the behavior of triaxial nuclei. A new potential, called Morse plus screened Kratzer potential, has been developed for the [Formula: see text]-part with [Formula: see text] fixed at [Formula: see text]. The Extended Nikiforov–Uvarov method involving Confluent Heun functions is used to derive the wave function and energy expression. The electric quadrupole transition rates and energy spectrum of platinum [Formula: see text] are determined and compared with the experimental data and some theoretical results.

Holographic wave function and space-time

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
Space Time

Holographic wave function and space-time

scholarly journals Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
C. A. Onate ◽  
T. A. Akanbi ◽  
I. B. Okon
Keyword(s):  
Thermal Properties ◽  
Attractive Potential ◽  
Average Deviation ◽  
Radial Wave ◽  
Lithium Dimer ◽  
Temperature Parameter ◽  
Vibrational Energies ◽  
Experimental Values ◽  
Uvarov Method ◽  
Potential Parameters

AbstractAn approximate solution of the Schrӧdinger equation for a molecular attractive potential was obtained using the parametric Nikiforov–Uvarov method. The energy equation and the corresponding radial wave functions were calculated. The effects of the potential parameters on the energy eigenvalues were examined. The thermal properties under the molecular attractive potential were calculated and the behaviour of the thermal properties with the maximum quantum state (λ) and the temperature parameter (β) respectively, were studied. Using the molecular spectroscopic parameters, the Rydberg–Klein–Rees (RKR) of cesium dimer and lithium dimer were both obtained and compared with the experimental values. The RKR values of both cesium dimer and lithium dimer calculated aligned with the observed values. The deviation and average deviation of the RKR for each molecule were also calculated.

scholarly journals Dirac Equation under Scalar and Vector Generalized Isotonic Oscillators and Cornell Tensor Interaction

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
Akpan N. Ikot ◽  
S. Zarrinkamar
Keyword(s):  
Dirac Equation ◽  
Quantum Number ◽  
Tensor Interaction ◽  
Cornell Potential ◽  
Ansatz Approach ◽  
Potential Parameters ◽  
Arbitrary Quantum

Spin and pseudospin symmetries of Dirac equation are solved under scalar and vector generalized isotonic oscillators and Cornell potential as a tensor interaction for arbitrary quantum number via the analytical ansatz approach. The spectrum of the system is numerically reported for typical values of the potential parameters.

scholarly journals Exact solvability of two new 3D and 1D non-relativistic potentials within the TRA framework

2018 ◽  
Vol 33 (32) ◽  
pp. 1850187 ◽  
Author(s):  
I. A. Assi ◽  
H. Bahlouli ◽  
A. Hamdan
Keyword(s):  
Wave Function ◽  
Orthogonal Polynomials ◽  
Jacobi Polynomials ◽  
Basis Functions ◽  
Exact Solvability ◽  
Analytical Properties ◽  
Expansion Coefficients ◽  
Potential Parameters ◽  
Square Integrable Basis

This work aims at introducing two new solvable 1D and 3D confined potentials and present their solutions using the Tridiagonal Representation Approach (TRA). The wave function is written as a series in terms of square integrable basis functions which are expressed in terms of Jacobi polynomials. The expansion coefficients are then written in terms of new orthogonal polynomials that were introduced recently by Alhaidari, the analytical properties of which are yet to be derived. Moreover, we have computed the numerical eigenenergies for both potentials by considering specific choices of the potential parameters.

scholarly journals Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

2020 ◽  
Vol 2 (6) ◽  
Author(s):  
E. S. William ◽  
J. A. Obu ◽  
I. O. Akpan ◽  
E. A. Thompson ◽  
E. P. Inyang
Keyword(s):  
Energy Spectrum ◽  
Coulomb Interaction ◽  
Jacobi Polynomials ◽  
Yukawa Potential ◽  
Analytical Investigation ◽  
Particle Energy ◽  
Spin Orbit ◽  
Centrifugal Barrier ◽  
Interaction Terms ◽  
Uvarov Method

The analytical solutions of the radial D-dimensional Schrödinger equation for the Yukawa potential plus spin-orbit and Coulomb interaction terms are presented within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The energy eigenvalues obtained are employed to calculate the single-energy spectrum of ⁵⁶Ni and ¹¹⁶Sn for distinct quantum states. We have also obtained corresponding normalized wave functions for the magic nuclei manifested in terms of Jacobi polynomials. However, the energy spectrum without Spin-orbit and Coulomb interaction terms precisely matches the quantum mechanical system of the Yukawa potential field at any arbitrary state.

The Superstring Propagator and the Signature of Space-Time

1997 ◽  
Vol 12 (14) ◽  
pp. 987-998 ◽  
Author(s):  
M. D. Pollock
Keyword(s):  
Wave Function ◽  
Apparent Horizon ◽  
Scalar Particle ◽  
Space Time ◽  
Functional Integral ◽  
Global Symmetry ◽  
Hamiltonian Constraint ◽  
Superstring Theory ◽  
Acceptable Solution ◽  
Higher Derivative

The Faddeev (Newton–Wigner) propagator K for the heterotic superstring theory is derived from the Wheeler–DeWitt equation for the wave function of the Universe Ψ, obtained in the four-dimensional (mini-superspace) Friedmann space-time ds2=dt2-a2(t)dx2, after reduction from the ten-action. The effect of higher-derivative terms ℛ2 is to break the local invariance under time reparametrization to a global symmetry t→λt, and consequently there are no ghost or gauge-fixing contributions, a functional integral over the (constant) Lagrange multiplier λ being sufficient to enforce the Hamiltonian constraint implicitly. After Wick rotation of the time, [Formula: see text], the only physically acceptable solution for K decreases exponentially on the Planck time-scale ~ t P , explaining from the quantum cosmological viewpoint why the signature of space-time is Lorentzian rather than Euclidean. This is analogous to the case of the (two-dimensional) free relativistic scalar particle, discussed recently by Redmount and Suen, who found that the propagator decreases exponentially outside the light-cone on the scale of the Compton wavelength of the particle (in accordance with the Heisenberg indeterminacy principle). These two seemingly different forms of acausality are thus physically excluded in the same way. The propagator for the Schwarzschild black hole of mass M is also obtained from the Schrödinger equation for the wave function on the apparent horizon, due to Tomimatsu, and the Hawking temperature T H =(8π M)-1 is derived from the Euclidean form of this equation.

Sign in / Sign up

Export Citation Format

Share Document