Transactions in Theoretical and Mathematical Physics
https://ttmp.qut.ac.ir/
Transactions in Theoretical and Mathematical Physicsendaily1Wed, 01 May 2024 00:00:00 +0430Wed, 01 May 2024 00:00:00 +0430Solutions of generalized supergravity equations with the BTZ black hole metric
https://ttmp.qut.ac.ir/article_711094.html
We proceed to investigate the solutions of generalized supergravity equations (GSE) in three dimensions.Our candidate is the metric of BTZ black hole. It is shown that only the cases with $J=M=0$ and $J=0,~ M\neq 0$ of the BTZ metric satisfy the GSE.In the former, we find a family of solutions including the field strength $H_{_{r \varphi t}}=2r/l$,the cosmological constant $\Lambda=-1/l^2$, one-form $Z_{\mu}$ and a vector field which is obtained to be a linear combination of the directions of the time translation and rotational symmetries. In the latter, the solutions possess the same field strength as before, while the cosmological constant $\Lambda$,one-form $Z_{\mu}$ and vector field $I$ will be different from the previous case.Finally, we show that the charged black string solutionfound by Horne and Horowitz, which is Abelian T-dual to the the BTZ black hole solution, can be considered as a solution for the GSE.A new approach to momentum operators in curved space
https://ttmp.qut.ac.ir/article_711086.html
In this paper we have obtained momentum representation in curved space with a different procedure to previous reports and then as a straight application for these operators we have investigated them on the compact manifold as a sphere. Our investigation indicates the spectrum of generalized momentum operators on the compact manifold is discrete.In this paper we have obtained momentum representation in curved space with a different procedure to previous reports and then as a straight application for these operators we have investigated them on the compact manifold as a sphere. Our investigation indicates the spectrum of generalized momentum operators on the compact manifold is discrete.In this paper we have obtained momentum representation in curved space with a different procedure to previous reports and then as a straight application for these operators we have investigated them on the compact manifold as a sphere. Our investigation indicates the spectrum of generalized momentum operators on the compact manifold is discrete.Modified geometrical optics in a curved spacetime
https://ttmp.qut.ac.ir/article_711904.html
In this article, the propagation of high-frequency monochromaticbeam of circularly polarized electromagnetic waves in a curved spacetime has been studied. At first, the standard geometrical optics isinvestigated; That is, we consider the waves with infinitely high frequency. In this step, it is found that the trajectories of light are nullgeodesics. Secondly, the geometrical optics is modified. For this end,by considering the polarization of light, helicity-dependent correctionon the geometrical optics is included. As a result, we realize that themodified wave vector is null. Furthermore, the trajectories of light arenull non-geodesic paths.The Importance of the Domain of Operators in Quantum Mechanics
https://ttmp.qut.ac.ir/article_713082.html
This paper aims to examine the significance of the domain of operators in the mathematical and physical structure of quantum mechanics. Specifically, we explore the distinction between observable self-adjoint and Hermitian operators, determined by their respective domains. We also discuss the Algebra of unbounded operators with the concept of the domain of operators. Our analysis reveals that creation and annihilation operators are not generally self-adjoint towards each other in standard quantum mechanics, as demonstrated through mathematical equations.&rdquo;