The Coulomb - harmonic oscillator correspondence in PT-symmetric quantum mechanics
classification
🪐 quant-ph
keywords
coulombboundedcasecorrespondencecouplingsdifferentenergiesexactly
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We show that and how the Coulomb potential can be regularized and solved exactly at the imaginary couplings. The new spectrum of energies is real and bounded as expected, but its explicit form proves totally different from the usual real-coupling case.
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