3 papers
quant-ph2026
The Inverted Dirac-Moshinsky Oscillator in Dimensions
Kevin Hernández, Marcos Orellana-Iraheta, William LarÃn-Escobar
We derive and analyze the exact solutions of the inverted Dirac-Moshinsky oscillator (IDMO) in dimensions, obtained from the standard model via the substitution $p \to p +…
quant-ph2026
Quantum and Thermal Properties of the Klein-Gordon Inverted Harmonic Oscillator with Physical Applications
Kevin Hernández, Mustapha Maamache
We develop a systematic framework for the quantum and thermal properties of a Klein-Gordon scalar field subject to an inverted harmonic potential . Starting…
quant-ph2026
Completeness of the Klein-Gordon oscillator eigenfunctions via Hermite and Laguerre polynomials
Kevin Hernández
Completeness of the Klein--Gordon oscillator eigenfunctions is proved in one and three spatial dimensions. The proofs establish the closure relations satisfied by the eigenfunction…