Open AccessThe space dent of sphere-symmetry harmonic oscillator in ground state
Author(s) -
Long Shu-ming,
Ran Qi-Wu,
Xiong Xiao-Jun
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.1044
Subject(s) - harmonic oscillator , symmetry (geometry) , physics , ground state , wave function , harmonic , circular symmetry , space (punctuation) , power series , quantum mechanics , mathematical analysis , mathematics , geometry , linguistics , philosophy
A rigorous solution of Schrdinger equation of an spheresymmetry harmonic oscillator is studied by the power series method.We found that wave function ψ(r,θ,φ)|r0 can be infinite, rψ(r,θ,φ)|r0 must be finite; this is in accord with Born's statistical explanation. The groundstate energy of the spheresymmetry harmonic oscillator is ω/2. The space dent will appear in the ground state of the spheresymmetry harmonic oscillator.