Properties of Quasi-Oscillator in Position-Dependent Mass Formalism

Schrödinger equation is considered within position-dependent mass formalism with a quasi-oscillator interaction term. Wave functions and energy spectra have been obtained analytically. Thermodynamic properties, information entropy, and uncertainty in coordinate and momentum spaces are calculated. To provide a better physical insight into the solutions, some figures are included

Energy corrections of the two dimensional Dunkl harmonic oscillator in the Non-Commutative phase-space

In this paper, we examine the harmonic oscillator problem in non-commutative phase space (NCPS) by using the Dunkl derivative instead of the habitual one. After defining the Hamilton operator, we use the perturbation method to derive the binding energy eigenvalues. We find eigenfunctions that correspond to these eigenvalues in terms of the Laguerre functions. We observe that the Dunkl-Harmonic Oscillator (DHO) in the NCPS differs from the ordinary one in the context of providing additional information on the even and odd parities. Therefore, we conclude that working with the Dunkl operator could be more appropriate because of its rich content.Comment: 7 page

The Semileptonic B‾⟶Dlν‾\overline{B}\longrightarrow Dl\overline{\nu} and Bs‾⟶Dslν‾\overline{B_{s}}\longrightarrow D_{s}l\overline{\nu} Decays in Isgur-Wise Approach

We consider a combination of linear confining and Hulth\'en potentials in the Hamiltonian and via the perturbation approach, report the corresponding Isgure-Wise function parameters. Next, we investigate the Isgur-Wise Function for $\overline{B}\longrightarrow Dl\overline{\nu}$ and $\overline{B_{s}}\longrightarrow D_{s}l\overline{\nu}$ semileptonic decays and report the decay width, branching ratio and $|V_{cb}|$ CKM matrix element. A comparison with other models and experimental values is included.Comment: any comment is welcom