Published June 11, 1983 | Version v1
Journal article

On the connection between the hydrogen atom and the harmonic oscillator

  • 1. Lyon-1 Univ., 69 - Villeurbanne (France). Inst. de Physique Nucleaire

Description

The connection between a three-dimensional hydrogenlike atom and a pair of coupled two-dimensional harmonic oscillators is established by applying the Jordan-Schwinger boson calculus to the algebra of the Runge-Lenz-Laplace-Pauli vector. The dynamical group SOsub(4,2) of the three-dimensional hydrogen atom arises as a quotient of the group Spsub(8,R) associated to a four-dimensional harmonic oscillator with constraint

Additional details

Publishing Information

Journal Title
Lett. Nuovo Cim.
Journal Volume
37
Journal Issue
6
Series
Lett. Nuovo Cim.
Journal Page Range
225-228
ISSN
0024-1318

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
16000324
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS;
Descriptors DEI
ATOMS; BOSONS; DYNAMICAL GROUPS; HARMONIC OSCILLATORS; HYDROGEN; SO GROUPS; SP GROUPS
Descriptors DEC
ELEMENTS; LIE GROUPS; NONMETALS; SYMMETRY GROUPS