Solving a two-electron quantum dot model in terms of polynomial solutions of a biconfluent Heun equation
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Publication:530803
DOI10.1016/J.AOP.2014.04.023zbMath1342.81146arXiv1308.0815OpenAlexW2081224586MaRDI QIDQ530803
Publication date: 1 August 2016
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.0815
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum dots as quasi particles (81V65) Polynomial solutions to PDEs (35C11)
Related Items (7)
Global solutions of the biconfluent Heun equation ⋮ Spectra generated by a confined softcore Coulomb potential ⋮ Quantum Newtonian cosmology and the biconfluent Heun functions ⋮ Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation ⋮ Solution of the \(\kappa\)-deformed Dirac equation with vector and scalar interactions in the context of spin and pseudospin symmetries ⋮ Second harmonic Hamiltonian: algebraic and Schrödinger approaches ⋮ Generalized Schrödinger equations with quadratical energy-dependence in the potential: Darboux transformations and application to the Heun class
Cites Work
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- Spectral properties of the biconfluent Heun differential equation
- Quasi-exactly-solvable problems and sl(2) algebra
- On the μx2+ λx4+ ηx6interaction
- On the Schrodinger equations of rotating harmonic, three-dimensional and doubly anharmonic oscillators and a class of confinement potentials in connection with the biconfluent Heun differential equation
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