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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…
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…
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…
Pseudo-PT symmetric Dirac equation : effect of a new mean spin angular momentum operator on Gilbert damping
Y. Bouguerra, S. Mehani, K. Bechane +2
The pseudo-PT symmetric Dirac equation is proposed and analyzed by using a non-unitary Foldy-Wouthuysen transformations. A new spin operator PT symmetric expectation value (called…