Qom University of TechnologyTransactions in Theoretical and Mathematical Physics3041-89841220240501Solutions of generalized supergravity equations with the BTZ black hole metric333871109410.30511/ttmp.2024.2016004.1019ENA. EghbaliDepartment of Physics, Azarbaijan Shahid Madani University, Tabriz, Iran0000-0001-6076-2179S. Ghasemi-SorkhabiDepartment of Physics, Azarbaijan Shahid Madani University, Tabriz, IranA. Rezaei-AghdamDepartment of Physics, Azarbaijan Shahid Madani University, Tabriz, IranJournal Article20231119We proceed to investigate the solutions of generalized supergravity equations (GSE) in three dimensions.<br />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.<br />In the former, we find a family of solutions including the field strength $H_{_{r \varphi t}}=2r/l$,<br />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 $\Lambda$,<br />one-form $Z_{\mu}$ and vector field $I$ will be different from the previous case.<br />Finally, we show that the charged black string solution<br />found 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.https://ttmp.qut.ac.ir/article_711094_e1df52b91fc8a34fd8bbe0cf424f2996.pdfQom University of TechnologyTransactions in Theoretical and Mathematical Physics3041-89841220240501A new approach to momentum operators in curved space394271108610.30511/ttmp.2024.2006716.1011ENM. Jafari MatehkolaeeDepartment of Physics, Amirkabir University of Technology (Tehran Polytechnic ), P.O.Box: 15875-4413,Tehran, IranZ. NorouzbehDepartment of physics, Alzahra University, Tehran, IranJournal Article20230711In 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.<br /><br />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.<br /><br />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.https://ttmp.qut.ac.ir/article_711086_9a8dd9f6de1132715e1c87e3322540ef.pdfQom University of TechnologyTransactions in Theoretical and Mathematical Physics3041-89841220240501Modified geometrical optics in a curved spacetime434571190410.30511/ttmp.2024.2016571.1020ENM. M. BaghaiefardIsfahan University of TechnologyJournal Article20231217In this article, the propagation of high-frequency monochromatic<br />beam of circularly polarized electromagnetic waves in a curved spacetime has been studied. At first, the standard geometrical optics is<br />investigated; That is, we consider the waves with infinitely high frequency. In this step, it is found that the trajectories of light are null<br />geodesics. Secondly, the geometrical optics is modified. For this end,<br />by considering the polarization of light, helicity-dependent correction<br />on the geometrical optics is included. As a result, we realize that the<br />modified wave vector is null. Furthermore, the trajectories of light are<br />null non-geodesic paths.https://ttmp.qut.ac.ir/article_711904_7baefe734e91a43f5386c0b16b13e317.pdfQom University of TechnologyTransactions in Theoretical and Mathematical Physics3041-89841220240501The Importance of the Domain of Operators in Quantum Mechanics464971308210.30511/ttmp.2024.2023459.1022ENM. DoliatDepartment of Physical Chemistry and Nano chemistry, Faculty of Chemistry, Alzahra University, P.O.
Box: 1993893973
Tehran, IranJournal Article20240220This 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.”