Abstract
The classical motion of the three-dimensional isotropic harmonic oscillator was studied to determine the radial function and the spherical harmonics for free particles. The analysis of numerical examples confirmed that exact wave functions from classical orbits obey the boundary conditions appropriate for spherical coordinates. The results showed that wave functions obtained using the proposed technique were accurate even for low-energy states where the results obtained for semiclassical approximations were poor.
| Original language | English |
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| Article number | 042110 |
| Pages (from-to) | 421101-4211017 |
| Number of pages | 3789917 |
| Journal | Physical Review A |
| Volume | 63 |
| Issue number | 4 |
| State | Published - Apr 2001 |