Published February 1992 | Version v1
Journal article Metadata-only

The quantum Schroedinger equation and the q-deformation of the hydrogen atom

Creators

  • 1. Peking Univ., Beijing (China). Dept. of Physics
  • 2. CCAST (World Lab.), Beijing (China)

Description

By employing non-commutative differential calculus on quantum orthogonal planes, we investigate the deformed version of the Schroedinger equation for the attractive Coulomb potential V(r)=-e2/r. The solutions show quantum group symmetry, and the calculated energy eigenvalues seem to be proportional to [n]-2, which is in agreement with the energy levels of the hydrogen atom in the limit of q→1. (author)

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
25
Journal Issue
3
Series
J. Phys., A Math. Gen.
Journal Page Range
623-634
ISSN
0305-4470
CODEN
JPHAC

INIS

Country of Publication
United Kingdom
Country of Input or Organization
United Kingdom
INIS RN
23041195
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS;
Descriptors DEI
ATOMS; COULOMB FIELD; DEFORMED NUCLEI; DIFFERENTIAL CALCULUS; GRADED LIE GROUPS; HYDROGEN; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SUPERSYMMETRY
Descriptors DEC
DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ELEMENTS; EQUATIONS; LIE GROUPS; MATHEMATICS; MECHANICS; NONMETALS; NUCLEI; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY; SYMMETRY GROUPS; WAVE EQUATIONS