K. Sogut

Scattering of vector bosons by an asymmetric Hulthen potential

Exact solutions for the bound and scattering states of the spatially one-dimensional Duffin–Kemmer–Petiau equation for an asymmetric Hulthen potential are obtained in terms of the hypergeometric functions. These solutions are used to derive conditions for the existence of the transmission resonances. From this investigation, we show how the transmission coefficient depends on the energy of the particle and the strength of the potential barrier.

Transmission resonances in the Duffin–Kemmer–Petiau equation in (1+1) dimensions for an asymmetric cusp potential

The dynamics of the spin-1 particle is studied using the Duffin–Kemmer–Petiau (DKP) equation. In this study, we exactly solve the one-space-dimensional DKP equation for the general form of a cusp potential. We obtain bound and scattering states and, using these solutions, investigate the condition for the existence of supercriticality and transmission resonances. In contrast to the results suggested in previous studies for a spin-1/2 particle moving in a same-type cusp potential, the results presented here demonstrate that the transmission resonance phenomenon for a spin-1 particle occurs not only for the symmetric but also for the asymmetric form of the cusp potential. The dependence of the transmission coefficient on the potential shape parameters and potential barrier strength is also analyzed.

Spin-1 particle in an electrical field in (1 + 1)-dimensional Schrödinger spacetime

In this paper exact solutions of the Duffin–Kemmer–Petiau (DKP) equation are obtained for a two-dimensional curved spacetime plus a constant electric field. Based on the solutions we discuss the current density of a spin-1 particle by considering the Gordon decomposition of the current. We also investigate the harmonic oscillator behaviour of vector bosons and their quantized momentum spectra for this cosmology.

Scattering and Bound States of Duffin-Kemmer-Petiau Particles for -Parameter Hyperbolic Pöschl-Teller Potential

The Duffin-Kemmer-Petiau (DKP) equation in the presence of a scalar potential is solved in one spatial dimension for the vector -parameter Hyperbolic Poschl-Teller (HPT) potential. In obtaining complete solutions we used the weak interaction approach and took the scalar and vector potentials in a correlated form. By looking at the asymptotic behaviors of the solutions, we identify the bound and scattering states. We calculate transmission () and reflection () probability densities and analyze their dependence on the potential shape parameters. Also we investigate the dependence of energy eigenvalues of the bound states on the potential shape parameters.

Energy levels and wave functions of vector bosons in a homogeneous magnetic field

We aimed to obtain the energy levels of spin-1 particles moving in a constant magnetic field. The method used here is completely algebraic. In the process to obtain the energy levels the wave function is choosen in terms of Laguerre Polynomials.We aimed to obtain the energy levels of massive spin-1 particles moving in a constant magnetic field. The method used here is completely algebraic. In the process to obtain the energy levels the wave function is expressed in terms of Laguerre polynomials.

Creation of spin-1/2 particles in de Sitter space–time

Abstract In this work we analyzed the particle creation process of spin-1/2 particles by considering a simple cosmological model, a two-dimensional de Sitter space–time. We choose two different charts, the static and global chart, on de Sitter space–time. We solved the Dirac equation for these two charts and then used Bogoliubov coefficients to relate vacuum states in the asymptotic regions of gravitational backgrounds. By using the Bogoliubov transformation technique we compute the density of particles created.

Production of Dirac Particles in External Electromagnetic Fields

In the present study pair creation of spin- 1/2 particles in Minkowski spacetime is investigated. Exact solutions of the Dirac equation are obtained for the presence of external electromagnetic fields and particle creation process is studied via Bogoliubov transformation method. The resulting particle creation number density depends on the strength of the electric and magnetic fields.

Fermionic Particle Production by Varying Electric and Magnetic Fields

Creation of fermionic particles by a time-dependent electric field and a space-dependent magnetic field is studied with the Bogoulibov transformation method. Exact analytic solutions of the Dirac equation are obtained in terms of the Whittaker functions and the particle creation number density depending on the electric and magnetic fields is determined.

Spinless Particles in Exponentially Varying Electric and Magnetic Fields

We investigate the motion of the charged spin-0 particles subjected to the space-dependent electric and magnetic fields. By selecting the external fields oriented parallel and orthogonal to each other, exact solutions of the motion are obtained for the nonrelativistic and the relativistic cases. The quantized energy spectrum is determined by using the solutions obtained for the motion of the particles and dependence of the energy on the strengths of the electric and magnetic fields is discussed. We compared the energy spectrum of the nonrelativistic and the relativistic particles by using the numerical results obtained for the first few quantum levels.

Exact Solutions of Duffin‐Kemmer‐Petiau Equation in (1+1)‐Dimensional Curved Spacetime

We investigate exact solutions of massive spin‐1 particle equation via Duffin‐Kemmer‐Petiau Theory in 2‐dimensional spacetime. We consider two different cosmological models. Based on the solutions we will discuss the harmonic oscillator behavior of the spin‐1 particles for these two models.