3 papers
quant-ph2026
A Non-Hermitian Relativistic Oscillator Exactly Mapped to a Hermitian Schrodinger Problem
Mustapha Maamache
We introduce the Dirac Inverted Oscillator, a new exactly solvable relativistic quantum system obtained through a Hermitian modification of the generalized momentum operator in the…
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-ph2025
Geometrical Amplitude factors in the the adiabatic evolution
Mustapha Maamache
In a quantum system initially in the n-th eigenstate, an adiabatic evolution of the Hamiltonian ensures that the system remains in the corresponding instantaneous eigenstate while…