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

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

2000-03-20

arxiv.org/abs/quant-ph/0003081v1

Phys. Lett. A 271 (2000) 327 - 333

Physics

Quantum Physics

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

Scientific paper

10.1016/S0375-9601(00)00400-X

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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