Particle-in-a-Box Spectra for Delta-Function Perturbation
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This Demonstration shows the spectrum of allowed wavenumbers 
of a particle in a box with 
-potential as a function of its location. This spectrum determines the eigenmomenta 
and eigenenergies 
, respectively. Surprisingly, attractive and repulsive -potentials lead to degenerate (positive energy) spectra when the potential strength 
increases. The only difference in the two cases is a single negative-energy state that exists only for the attractive potential.
Contributed by: Yogesh N. Joglekar (IUPUI) (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Snapshot 1: nearly degenerate spectra for large potential strength, 
Snapshot 2: dependence of negative-energy wavefunction size 
on the position of the -potential
Snapshot 3: for vanishing potential strength, 
the spectrum reduces to the well-known result 
Analytical details underlying the Demonstration can be found at http://www.arxiv.org/abs/0901.3155
Permanent Citation
Bound-State Spectra for Two Delta Function Potentials
Christopher R. Jamell and Yogesh N. Joglekar (IUPUI)
Double Delta Function Scattering Potential
Peter Falloon
Time-Dependent Superposition of Particle-in-a-Box Eigenstates
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Time-Dependent Superposition of 2D Particle-in-a-Box Eigenstates
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The Causal Interpretation of a Particle in a Two-Dimensional Square Box
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Two Electrons in a Box: Energies
M. Hanson
Two Electrons in a Box: Wavefunctions
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Wavepacket for a Free Particle
Andrés Santos
Causal Interpretation of the Free Quantum Particle
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Time Evolution of a Quantum Free Particle in 2D
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