Semi-spheroidal Quantum Harmonic Oscillator

Details Semi-spheroidal Quantum Harmonic Oscillator Semi-spheroidal Quantum Harmonic Oscillator

2007-04-06

arxiv.org/abs/0704.0847v1

Physics

Atomic and Molecular Clusters

4 pages, 3 figures, 1 table

Scientific paper

10.1016/j.physleta.2008.06.054

A new single-particle shell model is derived by solving the Schr\"odinger equation for a semi-spheroidal potential well. Only the negative parity states of the $Z(z)$ component of the wave function are allowed, so that new magic numbers are obtained for oblate semi-spheroids, semi-sphere and prolate semi-spheroids. The semi-spherical magic numbers are identical with those obtained at the oblate spheroidal superdeformed shape: 2, 6, 14, 26, 44, 68, 100, 140, ... The superdeformed prolate magic numbers of the semi-spheroidal shape are identical with those obtained at the spherical shape of the spheroidal harmonic oscillator: 2, 8, 20, 40, 70, 112, 168 ...

Affiliated with

Also associated with

No associations

Rating

Semi-spheroidal Quantum Harmonic Oscillator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semi-spheroidal Quantum Harmonic Oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semi-spheroidal Quantum Harmonic Oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699596