Quaternionic vector coherent states for spin-orbit interactions
Article, Ajoutée
le 12/02/2018 12:20
This work addresses a theta(x,p)-deformation of the harmonic oscillator in a 2D-phase space. Specifically, it concerns a quantum mechanics of the harmonic oscillator based on a noncanonical commutation relation depending on the phase space coordin [...]
HOUNKONNOU MAHOUTON NORBERT [1], OUSMANE SAMARY DINE [2], SAMA ARJIKA [4],
A new deformed canonical commutation relation, generalizing various known deformations, is defined together with its structure function of deformation. Then, the related irreducible representations are characterized and classified. Finally, the dis [...]
HOUNKONNOU MAHOUTON NORBERT [2], NGOMPE NKOUANKAM ELVIS BENZO [3],
This work mainly addresses a construction of Gazeau-Klauder type coherent states (CSs) for a Pöschl-Teller model. Relevant characteristics are investigated. Induced geometry and statistics are studied. Then, the Berezin-Klauder-Toeplitz quantizatio [...]
A physical system of a two-dimensional anharmonic oscillator is studied in a non-commutative plane. Various representations are considered and discussed. Eigenvalues and eigenvectors are explicitly determined and analyzed. Excited states are comput [...]