Degeneracy of 1D-Harmonic Oscillator

Eigenstates of a quantum mechanical system reflect one to one correspondence with energy level. However, in some systems more than one or a group of eigenstates correspond to a single eigenvalue. To introduce more than one eigenstate corresponding to single energy eigenvalue in 1D-harmonic oscillato...

Full description

Saved in:
Bibliographic Details
Published in:European Journal of Physics Education 2020, Vol.11 (3), p.47
Main Author: Rath, Biswanath
Format: Article
Language:English
Subjects:
Concept Formation
Energy
Mathematics
Mechanics (Physics)
Quantum Mechanics
Science Instruction
Scientific Concepts
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Eigenstates of a quantum mechanical system reflect one to one correspondence with energy level. However, in some systems more than one or a group of eigenstates correspond to a single eigenvalue. To introduce more than one eigenstate corresponding to single energy eigenvalue in 1D-harmonic oscillator, we introduce a new perturbation term and find entire eigenspectrum become degenerate in nature without changing the eigenfunctions of the system.
ISSN:1309-7202
1309-7202