Duality between the quantum inverted harmonic oscillator and inverse square potentials

In this paper we show how the quantum mechanics of the inverted harmonic oscillator (IHO) can be mapped to the quantum mechanics of a particle in a super-critical inverse square potential (ISP). We demonstrate this by relating both of these systems to the Berry–Keating system with Hamiltonian H = (...

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Veröffentlicht in:	New journal of physics 2024-05, Vol.26 (5), p.53023
Hauptverfasser:	Sundaram, Sriram, Burgess, C P, O’Dell, D H J
Format:	Artikel
Sprache:	eng
Schlagworte:	Ambiguity Boundary conditions duality Evolution Hamiltonian functions Harmonic oscillators inverse square potential inverted harmonic oscillator Quantum mechanics Quantum physics renormalisation group Scale invariance
Online-Zugang:	Volltext
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