Pseudo-Spin-Coherent States

Fabio Bagarello

Monique Combescure, Didier Robert

Mekki Aouachria, Farida Halimi, Rima Rekik

Time development of the two-level system with pseudo-Hermitian Hamiltonian is studied using the spin coherent state path integral. The propagator is first written in the standard form by replacing the spin by a unit vector aligned along the polar and azimuthal directions (θ, φ). Then it is determined exactly using perturbation methods. The metric of the pseudo-Hermitian Hamiltonian and its bi-orthonormal basis of system states are deduced.

Chon‐Fai Kam, Wei-Min Zhang, D.H. Feng

Rima Rekik, Farida Halimi, Mekki Aouachria

The time development of a two-level system with a pseudo-Hermitian Hamiltonian is studied using the spin coherent state path integral. The propagator is first written in the standard form by replacing the spin by a unit vector aligned along the polar and azimuthal directions (θ,φ). Then it is determined exactly using perturbation methods. The metric of the pseudo-Hermitian Hamiltonian and its bi-orthonormal basis of system states are deduced.

S. Twareque Ali, Jean-Pierre Antoine, Jean‐Pierre Gazeau