Klein-Gordon and Dirac particles in non-constant scalar-curvature background

Simple item page
dc.creatorAlimohammadi, M.
dc.creatorBaghjary, A. A.
dc.date2008-01-09
dc.date2008-01-10
dc.date.accessioned2026-07-07T11:55:06Z
dc.date.available2026-07-07T11:55:06Z
dc.descriptionThe Klein-Gordon and Dirac equations are considered in a semi-infinite lab ($x > 0$) in the presence of background metrics $ds^2 =u^2(x) η_{μν} dx^μdx^ν$ and $ds^2=-dt^2+u^2(x)η_{ij}dx^i dx^j$ with $u(x)=e^{\pm gx}$. These metrics have non-constant scalar-curvatures. Various aspects of the solutions are studied. For the first metric with $u(x)=e^{gx}$, it is shown that the spectrums are discrete, with the ground state energy $E^2_{min}=p^2c^2 + g^2c^2\hbar^2$ for spin-0 particles. For $u(x)=e^{-gx}$, the spectrums are found to be continuous. For the second metric with $u(x)=e^{-gx}$, each particle, depends on its transverse-momentum, can have continuous or discrete spectrum. For Klein-Gordon particles, this threshold transverse-momentum is $\sqrt{3}g/2$, while for Dirac particles it is $g/2$. There is no solution for $u(x)=e^{gx}$ case. Some geometrical properties of these metrics are also discussed.
dc.description14 pages, LaTeX, to be published in Int. Jour. Mod. Phys. A
dc.identifierhttps://arxiv.org/abs/0801.1366
dc.identifierhttp://arxiv.org/abs/0801.1366
dc.identifierInt.J.Mod.Phys.A23:1613-1626,2008
dc.identifierdoi:10.1142/S0217751X08039463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205134
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleKlein-Gordon and Dirac particles in non-constant scalar-curvature background
dc.typetext

Files

Collections

arXiv