Found 81 Documents (Results 1–81)
Heavy quarkonium systems for the deformed unequal scalar and vector Coulomb-Hulthén potential within the deformed effective mass Klein-Gordon equation using the improved approximation of the centrifugal term and Bopp’s shift method in RNCQM symmetries. (English) Zbl 07822286
Bound and scattering states solutions of the Klein-Gordon equation with the attractive radial potential in higher dimensions. (English) Zbl 1489.81070
Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping. (English) Zbl 1487.81084
Eigensolution of the Klein-Gordon equation for modified Yukawa-Kratzer potential and its applications using parametric Nikiforov-Uvarov and SUSYQM method. (English) Zbl 1477.81134
Reviewer: Stefan Groote (Tartu)
Relativistic quantum motion of spin-0 particles with a Cornell-type potential in \((1+2)\)-dimensional Gürses spacetime backgrounds. (English) Zbl 1428.81074
Linear confinement of spin-0 relativistic quantum particles in (1+2)-dimensions Gürses space-time. (English) Zbl 1427.81042
Quantum effects on spin-0 massive charged particles with Coulomb-type potentials in (1+2)-dimensions Gürses space-time. (English) Zbl 1430.83062
The generalized Klein-Gordon oscillator with Coulomb-type potential in (1+2)-dimensions Gürses space-time. (English) Zbl 1419.83031
Exact solution of the relativistic finite-difference equation for the Coulomb plus a ring-shaped-like potential. (English) Zbl 1415.78003
Scalar quantum particle in \((1+2)\)-dimensions Gurses space-time and the energy-momentum distributions. (English) Zbl 1416.81065
The Klein-Gordon oscillator in (1+2)-dimensions Gurses space-time backgrounds. (English) Zbl 1414.81117
Stable absorbing boundary conditions for molecular dynamics in general domains. (English) Zbl 1469.74005
Analysis of N-dimensional Klein-Gordon equation for hydrogen molecule in the non-central potential field. (English) Zbl 1398.81089
Scattering states solutions of Klein-Gordon equation with three physically solvable potential models. (English) Zbl 07815535
Investigation of \(N\)-identical few-body bound systems in the relativistic and non-relativistic description. (English) Zbl 1539.81054
Analytical solutions of the Klein-Gordon equation with a combined potential. (English) Zbl 1539.81056
On a relativistic particle and a relativistic position-dependent mass particle subject to the Klein-Gordon oscillator and the Coulomb potential. (English) Zbl 1380.81463
Solving Dirac equation using the tridiagonal matrix representation approach. (English) Zbl 1364.81106
MSC:
81Q05
Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid. (English) Zbl 1366.81153
Exact treatment of the relativistic double ring-shaped Kratzer potential using the quantum Hamilton-Jacobi formalism. (English) Zbl 1321.81020
Relativistic energies for diatomic molecule nucleus motions with the spin symmetry. (English) Zbl 1304.35592
Hulthén and Coulomb-like potentials as a tensor interaction within the relativistic symmetries of the Manning-Rosen potential. (English) Zbl 1425.81035
Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach. (English) Zbl 1284.81099
Bound state solutions of the Klein-Gordon equation with the improved expression of the Manning-Rosen potential energy model. (English) Zbl 1428.81078
Exact solution of the Dirac equation for the Yukawa potential with scalar and vector potentials and tensor interaction. (English) Zbl 1362.81028
The equation-transform model for Dirac-Morse problem including Coulomb tensor interaction. (English) Zbl 1348.81233
Relativistic symmetries in Yukawa-type interactions with Coulomb-like tensor. (English) Zbl 1334.81033
MSC:
81Q05
A simple efficient methodology for Dirac equation in minimal length quantum mechanics. (English) Zbl 1332.81043
Relativistic two-dimensional harmonic oscillator plus Cornell potentials in external magnetic and AB fields. (English) Zbl 1328.81107
Relativistic bound states of spinless particle by the Cornell potential model in external fields. (English) Zbl 1328.81106
Bound state solutions of the Dirac equation for the trigonometric and hyperbolic Scarf-Grosche potentials using the Nikiforov-Uvarov method. (English) Zbl 1280.81050
Algebraic approach to quasi-exact solutions of the Klein-Gordon-Coulomb problem. (English) Zbl 1260.81079
Exact spin and pseudo-spin symmetric solutions of the Dirac-Kratzer problem with a tensor potential via Laplace transform approach. (English) Zbl 1260.81063
Real exact solutions to the relativistic spinless particle with modified Rosen-Morse potential and its symmetry. (English) Zbl 1254.81100
An approximate \(\kappa\) state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry. (English) Zbl 1317.81105
Quadratic algebra approach to relativistic quantum Smorodinsky-Winternitz systems. (English) Zbl 1316.81033
Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states. (English) Zbl 1272.81051
Approximate pseudospin solutions of the Dirac equation with the Eckart potential including a Coulomb-like tensor potential. (English) Zbl 1209.81102
MSC:
81Q05
The relativistic treatment of spin-0 particles under the rotating Morse oscillator. (English) Zbl 1314.81062
Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term. (English) Zbl 1309.81076
Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic iteration method. (English) Zbl 1238.81095
Exact solutions of Dirac equation for a new spherically asymmetrical singular oscillator. (English) Zbl 1202.81060
Pseudospin and spin symmetry for the ring-shaped generalized Hulthén potential. (English) Zbl 1196.81098
MSC:
81Q05
Exact solution of Dirac equation for Mie-type potential by using the Nikiforov-Uvarov method under the pseudospin and spin symmetry limit. (English) Zbl 1194.81065
Algebraic approach to spin symmetry for the Dirac equation with the trigonometric scarf potential. (English) Zbl 1188.81075
Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential. (English) Zbl 1187.81107
MSC:
81Q05
Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential. (English) Zbl 1186.81054
MSC:
81Q05
Spin symmetry for Dirac equation with the trigonometric Pöschl-Teller potential. (English) Zbl 1185.81075
Solutions of nonrelativistic Schrödinger equation from relativistic Klein-Gordon equation. (English) Zbl 1235.81073
Approximate analytical solutions of the Dirac equation with the generalized Pöschl-Teller potential including the pseudo-centrifugal term. (English) Zbl 1229.81076
Dirac equation with scalar and vector quadratic potentials and Coulomb-like tensor potential. (English) Zbl 1227.81152
Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials. (English) Zbl 1180.81058
Approximate analytical solutions of the Dirac equation with the hyperbolic potential in the presence of the spin symmetry and pseudo-spin symmetry. (English) Zbl 1175.81096
MSC:
81Q05
Exact bound state solutions of the Schrödinger equation for noncentral potential via the Nikiforov-Uvarov method. (English) Zbl 1171.81368
Bäcklund transformations and Lax pairs for the nonlinear Klein-Gordon equation with symbolic computation. (English) Zbl 1167.35524
Approximate solution of the effective mass Klein-Gordon equation for the Hulthen potential with any angular momentum. (English) Zbl 1169.81326
Dynamical symmetries of two-dimensional systems in relativistic quantum mechanics. (English) Zbl 1159.81372
Analytical computation of amplification of coupling in relativistic equations with Yukawa potential. (English) Zbl 1159.81021
MSC:
81Q05
Bound states of the Klein-Gordon equation for vector and scalar general Hulthén-type potentials in \(D\)-dimension. (English) Zbl 1155.81323
Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio’s oscillator. (English) Zbl 1255.81173
Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry. (English) Zbl 1227.81174
Analytical solution of the schrödinger equation for Makarov potential with any \(\ell\) angular momentum. (English) Zbl 1160.81366
MSC:
81Q05
Exact bound states of the \(D\)-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential. (English) Zbl 1154.81331
Two-center problem for the Dirac equation with a Coulomb and scalar potential. (English) Zbl 1141.81305
Exact solution of the continuous states for generalized asymmetrical Hartmann potentials under the condition of pseudospin symmetry. (English) Zbl 1141.81307
MSC:
81Q05
The \((1+1)\) dimensional Dirac equation with pseudoscalar potentials: path integral treatment. (English) Zbl 1118.81049
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