Zur Theorie des Wasserstoffatoms

@article{Fock1935ZurTD,
  title={Zur Theorie des Wasserstoffatoms},
  author={V. Fock},
  journal={Zeitschrift f{\"u}r Physik},
  year={1935},
  volume={98},
  pages={145-154}
}
  • V. Fock
  • Published 1 March 1935
  • Physics
  • Zeitschrift für Physik
ZusammenfassungDie Schrödinger-Gleichung für das Wasserstoffatom im Impulsraum erweist sich als identisch mit der Integralgleichung für die Kugelfunktionen der vierdimensionalen Potentialtheorie. Die Transformationsgruppe der Wasserstoffgleichung ist also die vierdimensionale Drehgruppe; dadurch wird die Entartung der Wasserstoffniveaus in bezug auf die Azimutalquantenzahl l erklärt. Die aus der potentialtheoretischen Deutung der Schrödinger-Gleichung folgenden Beziehungen (Additionstheorem usw… 

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

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

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

Hydrogenoid orbitals revisited: From Slater orbitals to Coulomb Sturmians#

AbstractThe simple connection between the Slater orbitals, venerable in quantum chemistry, and the Coulomb Sturmian orbitals, more recently employed in atomic and molecular physics, is pointed out

Hidden duality and accidental degeneracy in cycloacene and Möbius cycloacene

The accidental degeneracy appearing in cycloacenes as triplets and quadruplets is explained with the concept of segmentation, introduced here with the aim of describing the effective disconnection of

One‐electron diatomics in momentum space. I. Implication of first iterated solutions for the ground state

For one‐electron diatomic systems, an iterative solution of the momentum‐space Schrodinger equation is examined using the Fock transformation which enables us to expand the kernel of the integral

Comment on “Fourier transform of hydrogen-type atomic orbitals”

Podolsky and Pauling (Phys. Rev. 34, 109 (1929) doi: 10.1103/PhysRev.34.109 ) were the first ones to derive an explicit expression for the Fourier transform of a bound-state hydrogen eigenfunction.

A momentum-space picture of the chemical bond†

The derivation of the reciprocal-space Schrodinger equation is reviewed, as well as Fock's method for solving it for hydrogenlike atoms. It is shown that Fock's solutions (which represent Fourier

Obtaining hydrogen energy eigenstate wave functions using the Runge-Lenz vector

  • C. Chua
  • Physics
    Journal of Physics Communications
  • 2018
The Pauli method of quantizing the Hydrogen system using the Runge-Lenz vector is ingenious. It is well known that the energy spectrum is identical with the one obtained from the Schrödinger equation

ACCIDENTAL DEGENERACY IN THE BETHE--SALPETER EQUATION.

The Bethe‐Salpeter equation for the bound state of the pion‐nucleon system has been studied in the ladder approximation; the propagation time of the exchanged nucleon is neglected. By using the
...