36 research outputs found
Creation of Spin-1/2 Particles in the Hyperboloid de Sitter Space-Time
In this work we solve Dirac equation by using the method of seperation of
variables. Then we analyzed the particle creation process. To compute the
density number of particles created Bogoliubov transformation technique is
used.Comment: 5 pages, no figures, presented at the 1st Int. Hellenic&Turkish Phys.
Con
Coulomb Green’s Function in Lobachevsky Space
The Green’s function of the Schr¨odinger equation with the Coulomb potential in the space of constant negative curvature is constructed in the form of an eigenfunction expansion. The closed form expression for this function is also presented
Anisotropic inharmonic Higgs oscillator and related (MICZ-)Kepler-like systems
We propose the integrable (pseudo)spherical generalization of the
four-dimensional anisotropic oscillator with additional nonlinear potential.
Performing its Kustaanheimo-Stiefel transformation we then obtain the
pseudospherical generalization of the MICZ-Kepler system with linear and
potential terms. We also present the generalization of the
parabolic coordinates, in which this system admits the separation of variables.
Finally, we get the spherical analog of the presented MICZ-Kepler-like system.Comment: 7 page