Premium
Some remarks on the hydrogen atom
Author(s) -
Grinberg Horacio,
Marañon Julio,
Vucetich Hector
Publication year - 1983
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560230206
Subject(s) - hydrogen atom , harmonic oscillator , atomic orbital , quantum mechanics , physics , wave function , path integral formulation , canonical transformation , feynman diagram , unitary transformation , formalism (music) , coulomb , isotropy , mathematical physics , quantum , electron , group (periodic table) , art , musical , visual arts
The path integral for the Green's function involving the Coulomb potential in combination with the Kustaanheimo‐Stiefel transformation is used to generate the atomic orbitals of the nonrelativistic hydrogen atom as various combinations of the product of one‐dimensional isotropic harmonic oscillator wave functions. The use of the transformation is justified, by connecting the homogeneous space with the quotient space in the Feynman quantization formalism.