Bound states in a Yukawa potential: A Sturmian group-theoretical approach
Data up to Jan 2025
Total Citations Per Year
Abstract
References (55)
Quantum Mechanics of One- and Two-Electron Atoms
1957 • 4,568 citations
Formulas and Theorems for the Special Functions of Mathematical Physics
1966 • 3,442 citations
Table of Integrals, Series, and Products
1981 • 3,250 citations
Zur Theorie des Wasserstoffatoms
1935 • 1,001 citations
Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes
1971 • 948 citations
Advances in atomic and molecular physics
1969 • 637 citations
Variational wave functions for a screened Coulomb potential
1976 • 623 citations
Bound Eigenstates of the Static Screened Coulomb Potential
1970 • 538 citations
Mathematics of Classical and Quantum Physics
1969 • 519 citations
Quantum Mechanics for Hamiltonians Defined as Quadratic Forms
2015 • 464 citations
Group Theory and the Hydrogen Atom (I)
1966 • 394 citations
Lie Theory and Special Functions
1968 • 387 citations
Coulomb Green's Function
1964 • 370 citations
Structure of Spectral Lines from Plasmas
1959 • 322 citations
ON THE BOUND STATES OF A GIVEN POTENTIAL
1961 • 294 citations
Application of sturmian functions to the Schroedinger three-body problem: Elastic e+-H scattering
1962 • 252 citations
Zustandssumme und effektive Ionisierungsspannung eines Atoms im Inneren des Plasmas
1956 • 169 citations
Energies of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>Eigenstates in a Static Screened Coulomb Potential
1971 • 168 citations
Approximate Eigensolutions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:mfrac><mml:mo>)</mml:mo><mml:mo>+</mml:mo><…
1951 • 143 citations
Attractive Two-Body Interactions in Partially Ionized Plasmas
1962 • 139 citations
The charge-dependence of nuclear forces
1938 • 133 citations
Analytic perturbation theory for screened Coulomb potentials: Nonrelativistic case
1976 • 128 citations
Variational solution of Schrödinger's equation for the static screened Coulomb potential
1974 • 107 citations
Functional Analysis and Scattering Theory
1964 • 97 citations
Potential Theory Calculations by the Quasiparticle Method
1964 • 91 citations
Bound States in a Debye-Hückel Potential
1964 • 83 citations
Algebraic treatment of quantum-mechanical models with modified Coulomb potentials
1973 • 80 citations
Behavior of Electron Wave Functions near the Atomic Nucleus and Normalization Screening Theory in the Atomic Photoeffect
1972 • 80 citations
Bound Eigenstates of the Exponential Cosine Screened Coulomb Potential
1972 • 78 citations
Calculation of regge poles by continued fractions - I
1962 • 73 citations
The Dispersion by Hydrogen-Like Atoms in Undulatory Mechanics
1928 • 72 citations
High-Order Perturbation Theory for the Bound States of an Electron in a Screened Coulomb Potential
1969 • 70 citations
Phase Shifts of the Static Screened Coulomb Potential
1971 • 64 citations
Electron Shielding in Heavily Doped Semiconductors
1969 • 57 citations
Wave equations in momentum space
1950 • 55 citations
Calculations on a New Neutron-Proton Interaction Potential
1938 • 50 citations
Counting the Bound States in Short-Range Central Potentials
1965 • 49 citations
Regge Trajectories for Yukawa Potentials
1963 • 44 citations
Streumaxima und gebundene Zust�nde
1956 • 41 citations
Screened Coulomb Solutions of the Schrödinger Equation
1967 • 39 citations
Finite Electronic Partition Function from Screened Coulomb Interactions
1967 • 36 citations
Some Mathematical Problems in Quantum Mechanics
1967 • 35 citations
Analytic perturbation theory for screened Coulomb potentials: Relativistic case
1977 • 28 citations
A variational method for finding Eigenvalues of the Lippmann-Schwinger equation and the corresponding Regge trajectories
1964 • 23 citations
SO(2, 1) and the Hulthén Potential
1972 • 22 citations
Large coupling expansions for eigenenergies and Regge trajectories of the Yukawa potential
1973 • 22 citations
Theory of Critical Screening Radius of Energy Levels of Hydrogen-Like Atoms in Plasmas
1971 • 16 citations
The binding energies of the hydrogen isotopes
1938 • 14 citations
Four Euclidean conformal group in atomic calculations: Exact analytical expressions for the bound–bound two-photon transition matrix elements in the H atom
1978 • 12 citations
Regge Poles for Large Coupling Constants. I
1972 • 9 citations
The density of states in the static screened Coulomb potential
1971 • 7 citations
Schrödinger equation with Yukawa potential, a differential equation with two singular points
1977 • 6 citations
Construction of Bound-state Solutions to the Schrödinger Equation with a Yukawa Potential by means of Integral Equations
1971 • 4 citations
Atomic radial integrals and a use of O(2, 1) transformation
1974 • 4 citations
Uniform Asymptotic Solution of the Radial Schrödinger Equation for an Electron Bound in a Central Field Potential
1972 • 3 citations