Zur Theorie des Wasserstoffatoms

@article{Bargmann1936ZurTD,
title={Zur Theorie des Wasserstoffatoms},
author={V. Bargmann},
journal={Zeitschrift f{\"u}r Physik},
year={1936},
volume={99},
pages={576-582}
}
• V. Bargmann
• Published 1 July 1936
• Physics
• Zeitschrift für Physik
ZusammenfassungEs wird gezeigt, daß die Matrixgleichungen, die Pauli seiner Behandlung des Wasserstoffatoms zugrunde gelegt hat, bei gruppentheoretischer Deutung auf die kürzlich von Fock entwickelte Methode führen. — Die Separation der Schrödinger-Gleichung in parabolischen Koordinaten wird in diesen Zusammenhang eingeordnet.
317 Citations

Dynamical groups of simple nonrelativistic models

SummaryThe construction of the generators of the dynamical group of the nonrelativistic rotator and the hydrogen atom is discussed.RiassuntoSi discute la costruzione dei generatori del gruppo

Qualitative models of intramolecular dynamics of acetylene: relation between the bending polyads of acetylene and perturbed Keplerian systems

• Physics
• 2018
ABSTRACT We analyse qualitatively the bending vibrational polyads of the acetylene molecule (CH) in the approximation of the resonant oscillator with axial symmetry using an effective vibrational

Atomic orbitals of the nonrelativistic hydrogen atom in a four‐dimensional Riemann space through the path integral formalism

• Physics
• 1983
The Kustaanheimo–Stiefel transformation together with the well‐known expansion of the kernel of an isotropic harmonic oscillator is used to generate the atomic orbitals of the nonrelativistic

Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential

We prove that a neutral atom in mean-field approximation has ${\rm O}(4)$ symmetry and this fact explains the empirical $[n+l,n]$-rule or Madelung rule which describes effectively periods, structure

Noninvariance Groups in Molecular Quantum Mechanics. I

• Physics
• 1967
The problem of one electron moving in the field of many stationary nuclei is formulated in terms of the operations of the Lie algebras of E4, R5, and O4,1, all noninvariance groups of quantal

Cartesian Operator Factorization Method for Hydrogen

• Mathematics
Atoms
• 2022
We generalize Schrödinger’s factorization method for Hydrogen from the conventional separation into angular and radial coordinates to a Cartesian-based factorization. Unique to this approach is the

The “gruppen pest” yesterday, today, and tomorrow

The difficulties associated with the application of group theory to problems in physics and chemistry, and current attempts to overcome them, are reviewed.

Symmetries of the hydrogen atom and algebraic families

• E. Subag
• Mathematics
Journal of Mathematical Physics
• 2018
We show how the Schrodinger equation for the hydrogen atom in two dimensions gives rise to an algebraic family of Harish-Chandra pairs that codifies hidden symmetries. The hidden symmetries vary

Hydrogen Atom—The Quantum-Mechanical Kepler Problem

The classical Kepler problem is described in Section VI.2, where the Lenz vector is introduced. Section VI.3 gives the algebra of angular momentum and the Lenz vector, and Section VI.4 describes the