1997/04/07 by N Aquino, N. Aquino
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum Mechanics and Non-Hermitian Physics #Quantum, superfluid, helium dynamics
paper · doi:10.1088/0305-4470/30/7/020
openalex publication_date 1997/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study the three-dimensional isotropic harmonic oscillator confined within spherical impenetrable walls. The potential in the box is of the harmonic oscillator type but outside the box the potential is infinite. The energy eigenvalues and some position expectation values are computed with great accuracy for different box sizes; our results are more accurate than previous calculations. By using the bounded harmonic oscillator wavefunctions as a basis set we obtain with the variational method the energy eigenvalues of a confined hydrogen atom.