Duffin-Kemmer-Petiau Oscillator with Spin Non-Commutativity

Sebastian Saner

F. Yasuk, M. Karakoç, Ismail Boztosun

In this study, we construct the deformed form of the relativistic Duffin–Kemmer–Petiau (DKP) oscillator including a term qr 3 . The DKP oscillator with a deformed term becomes the radial sextic oscillator in the non-relativistic limit. The DKP sextic oscillator problem is solved numerically within the framework of the asymptotic iteration method. We present the energy eigenvalues for the ground and excited states.

Youcef Nedjadi, Roger C. Barrett

We propose a generic S = 1 relativisitic oscillator model which extends the class of relativistic bosonic oscillators. The Duffin-Kemmer-Petiau (DKP) oscillator we introduced in an earlier work can be recovered as an element of a family of DKP oscillators that can be realized within this generic model. We present the formalism for the exact quantum mechanical treatment of this generic model and, for illustration, compute the eigenvalues of a particular family of relativistic oscillators.

A. M. Perelomov

R. Sandhya

M. de Montigny, F. C. Khanna, Ademir Eugenio de Santana +2 more

We use a five-dimensional approach to Galilean covariance to investigate the non-relativistic Duffin-Kemmer-Petiau first-order wave equations for spinless particles. The corresponding representation is generated by five 6×6 matrices. We consider the harmonic oscillator as an example.