Eigenvalues of the Schrodinger equation with Coulomb potentials plus linear and harmonic radial terms

Castro E.; Martin P.

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Eigenvalues of the Schrodinger equation with Coulomb potentials plus linear and harmonic radial terms

机译：带有库仑势以及线性和谐波径向项的薛定inger方程的特征值

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Analytic approximations for the eigenvalues have been obtained using the two-point quasifractional approximants method. Here we extend and generalize previous work where the method was applied to determine eigenenergies of two-dimensional Coulomb potentials in the presence of a magnetic field of arbitrary strength. We have also shown the advantage of our results with respect to other calculations using the shifted 1/N method or Pade approximants. [References: 51]

机译：使用两点拟分数近似方法已经获得了特征值的解析近似。在这里，我们扩展并归纳了先前的工作，在该方法适用于在存在任意强度的磁场的情况下确定二维库仑势的本征能的情况。我们还显示了我们的结果相对于使用移位1 / N方法或Pade近似值进行其他计算的优势。 [参考：51]

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《Journal of Physics, A. Mathematical and General: A Europhysics Journal》 |2000年第30期|共14页
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Castro E.; Martin P.;
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正文语种 eng
中图分类物理学;
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Polynomial perturbation; Anharmonic-oscillators; Quantum-mechanics; Hill determinant; Hydrogen-atom; Expansions; Confinement; Hypervirial; Plasmas; Physics;

机译：多项式摄动;非谐振子;量子力学;希尔行列式;氢原子;扩展;约束;超病毒;等离子;物理;

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1. Eigenvalues of the Schrodinger equation with Coulomb potentials plus linear and harmonic radial terms [J] . Castro E., Martin P. Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2000,第30期

机译：带有库仑势以及线性和谐波径向项的薛定inger方程的特征值
2. NONLINEAR SCHRODINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS [J] . JIABAO SU, ZHI-QIANG WANG, MICHEL WILLEM Communications in contemporary mathematics . 2007,第4期

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3. Nonlinear Schrodinger equations with single power nonlinearity and harmonic potential [J] . Cipolatti R., de Macedo Lira Y., Trallero-Giner C. Journal of physics, A. Mathematical and theoretical . 2018,第11期

机译：具有单功率非线性和谐波潜力的非线性Schrodinger方程
4. Staticization-based representations for Schrodinger equations driven by Coulomb potentials [C] . William M. McEneaney, Peter M. Dower IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory . 2020

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Eigenvalues of the Schrodinger equation with Coulomb potentials plus linear and harmonic radial terms

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