Nuri Ünal

Exact solution of Dirac equation in 2+1 dimensional gravity

We find exact solutions of the Dirac equation in the 2+1 dimensional curved background by separation of variables. These solutions are given in terms of hypergeometric functions. We also perform the Gordon decomposition for the Dirac current to discuss the time dependence of the polarization densities and the magnetization density, and to show that the polarization densities are more effective than the magnetization density in the pair production in finite time intervals.

PATH INTEGRAL QUANTIZATION OF A SPINNING PARTICLE

AbstractBaruts classical model of the spinning particle having external dynamical variables x and p and internal dynamical variables

Dirac equation in Euclidean Newman–Penrose formalism with applications to instanton metrics

\bar z

Decay rate for supercurrent in thin wire

and z is taken into account. The path integrations over holomorphic spinors

Coherent states for Smorodinsky-Winternitz potentials

\bar z

Parametric-time coherent states for the generalized MIC-Kepler system

and z are discussed. This quantization gives the kernel of the relativistic particles with higher spin as well as the Dirac electron. The Greens function of the spin-n/2 particle is obtained.