Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential
From MaRDI portal
Publication:763887
DOI10.1016/J.PHYSLETA.2009.11.072zbMath1235.81075OpenAlexW2018444140MaRDI QIDQ763887
Min-Cang Zhang, Shi-Hai Dong, Guo-Hua Sun
Publication date: 2 April 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.11.072
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15)
Related Items (21)
Relativistic symmetries in Yukawa-type interactions with Coulomb-like tensor ⋮ Solutions of the \(D\)-dimensional Schrödinger equation with the hyperbolic Pöschl-Teller potential plus modified ring-shaped term ⋮ Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups ⋮ Exact solutions of the Schrödinger equation with double ring-shaped oscillator ⋮ Topological effects on non-relativistic eigenvalue solutions under AB-flux field with pseudoharmonic- and Mie-type potentials ⋮ Effects of cosmic string on non-relativistic quantum particles with potential and thermodynamic properties ⋮ Spin-orbit interaction for the double ring-shaped oscillator ⋮ Effect of gravity and electromagnetic field on the spectra of cylindrical quantum dots together with AB flux field ⋮ Eigen solutions of the D-dimensional Schrödinger equation with inverse trigonometry scarf potential and Coulomb potential ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential ⋮ Approximate arbitrary-state solutions of Dirac equation for modified deformed Hylleraas and modified Eckart potentials by the NU method ⋮ Bound state solutions of the Dirac equation for the trigonometric and hyperbolic Scarf-Grosche potentials using the Nikiforov-Uvarov method ⋮ Persistent currents and induced magnetization in presence of external magnetic field and transition probabilities in presence of combined laser pulse and external magnetic field for a confined Hydrogen atom ⋮ Approximate bound state solutions of the Klein-Gordon equation with the linear combination of Hulthén and Yukawa potentials ⋮ The quadratic plus the tensor potentials for particle with 1/2-spin via L 2 method under the spin symmetry ⋮ EXACT SOLUTIONS OF DIRAC EQUATION FOR A NEW SPHERICALLY ASYMMETRICAL SINGULAR OSCILLATOR ⋮ Aharonov–Bohm effect on the generalized Duffin–Kemmer–Petiau oscillator in the Som–Raychaudhuri spacetime ⋮ Bound state solutions of three-dimensional Klein-Gordon equation for two model potentials by NU method ⋮ Hulthén and Coulomb-like potentials as a tensor interaction within the relativistic symmetries of the Manning-Rosen potential ⋮ Analytical solution of the Schrödinger equation with spatially varying effective mass for generalised Hylleraas potential ⋮ The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method
Cites Work
- Unnamed Item
- Unnamed Item
- Exact bound state solutions of the Schrödinger equation for noncentral potential via the Nikiforov-Uvarov method
- Supersymmetric solutions of non-central potentials
- Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential
- Exact solutions and ladder operators for a new anharmonic oscillator
- On the exact solutions of the Dirac equation with a novel angle-dependent potential
- A new ring-shaped potential and its dynamical invariance algebra
- Scattering and bound states for a class of non-central potentials
- Quantum scattering from the Coulomb potential plus an angle-dependent potential: a group-theoretical study
This page was built for publication: Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential