TY - JOUR T1 - A PHYSICAL APPROACH TO LAGRANGIAN EQUATIONS WITH BUNDLE STRUCTURE FOR MINKOWSKI 3-SPACE AU - Koç, Hatice Nur AU - Aycan, Cansel AU - Paşalı Atmaca, Sibel PY - 2024 DA - December Y2 - 2024 DO - 10.33773/jum.1560371 JF - Journal of Universal Mathematics JO - JUM PB - Gökhan ÇUVALCIOĞLU WT - DergiPark SN - 2618-5660 SP - 146 EP - 157 VL - 7 IS - To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" LA - en AB - Minkowski 3-space is important because it is the spatial structure in which physical events occur. Therefore, in this study, we examined the time-dependent Lagrangian energy equations in Minkowski 3-space. To facilitate the examination of the necessary mechanical structure and solutions with respect to time, we employed the jet bundle structure. This approach has made the creation of the necessary geometric structures more comprehensible in terms of coordinate basis. To interpret the obtained Lagrangian energy equations and to understand the significance of the time parameter, an example is also provided in our study. KW - jet bundles KW - minkowski space KW - lagrange energy equations KW - mechanical energy system CR - C.Aycan, The LIfts of Euler-Lgrange and Hamiltonian Equations on the Extended Jet Bundles, D. Sc. Thesis, Osmangazi Univ. , Eskisehir, (2003). CR - G.Giachetta, L. Mangiarotti and G. Sardanashvily, Geometric Quantization of Mechanical systems with Time-Dependent Parameters, J, Math. Phys., Vol.43, pp.2882-2894 (2002). CR - G. Sardanashvilly, Classical and Quantum Mechanics With Time-Dependent Parameters, J. Math. Phys., Vol.41, pp.5245-5255 (2000). CR - G. Sardanashvilly, Hamiltonian Time-Dependent Mechanics, J. Math. Physics, Vol.39, (1998). CR - M. De Leon, P.R. Rodrigues, Generalized Classical Mechanics and Field Theory, North-Hol. Math. St.,112, Elsevier Sc. Pub., Amsterdam, (1991). CR - M. Crampin, On the Differential Geometry Of Euler-Lagrange Equations and The Inverse Problem Of Lagrangian Dynamics, J. Phys. A-Math. And Gen., Vol.14, No.10, pp.2567-257 (1981). UR - https://doi.org/10.33773/jum.1560371 L1 - https://dergipark.org.tr/en/download/article-file/4259557 ER -