The Coulomb - harmonic oscillator correspondence in PT-symmetric quantum mechanics

Abstract

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.

Latex, 11 pages, 3 figures, submitted to Phys. Lett. A

References in corpus (4)

• A new PT symmetric complex Hamiltonian with a real spectra
• Exact solution for Morse oscillator in PT-symmetric quantum mechanics
• Shape invariant potentials with PT symmetry
• Variational Ansatz for PT-Symmetric Quantum Mechanics

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