The Step Pyramid of Djoser at Saqqara, Egypt is one of the oldest stone monuments in the world and along with other historical monuments of this area is included in the World Heritage List of UNESCO （United Nations E...The Step Pyramid of Djoser at Saqqara, Egypt is one of the oldest stone monuments in the world and along with other historical monuments of this area is included in the World Heritage List of UNESCO （United Nations Educational, Scientific, and Cultural Organization）. In a way, this monument was an experimental construction and served as a prototype for other pyramids afterwards built in Ancient Egypt. Innovative materials, mortar, construction and engineering solutions were introduced and approbated during the construction process of the Step Pyramid. Therefore, the reconstruction of this monument possibly close to its original state is an extremely difficult task. The preservation of this pyramid for future generations is a challenge to the specialists of various scientific fields. Current study is focusing on systematic assessment of the exposed surfaces of the pyramid＇s facades identifying various stone material weathering types and their intensities, as well as major deformations of the structure further integrated into the geospatial model of the pyramid. The results of this study provide possibility to determine the most endangered areas of pyramid＇s facades and calculate the volume of necessary reconstruction work.展开更多
Using ladder operators for the non-linear oscillator with position-dependent effective mass, realization of the dynamic group SU(1,1) is presented. Keeping in view the algebraic structure of the non-linear oscillator,...Using ladder operators for the non-linear oscillator with position-dependent effective mass, realization of the dynamic group SU(1,1) is presented. Keeping in view the algebraic structure of the non-linear oscillator, coherent states are constructed using Barut–Girardello formalism and their basic properties are discussed. Furthermore, the statistical properties of these states are investigated by means of Mandel parameter and second order correlation function. Moreover,it is shown that in the harmonic limit, all the results obtained for the non-linear oscillator with spatially varying mass reduce to corresponding results of the linear oscillator with constant mass.展开更多
文摘The Step Pyramid of Djoser at Saqqara, Egypt is one of the oldest stone monuments in the world and along with other historical monuments of this area is included in the World Heritage List of UNESCO （United Nations Educational, Scientific, and Cultural Organization）. In a way, this monument was an experimental construction and served as a prototype for other pyramids afterwards built in Ancient Egypt. Innovative materials, mortar, construction and engineering solutions were introduced and approbated during the construction process of the Step Pyramid. Therefore, the reconstruction of this monument possibly close to its original state is an extremely difficult task. The preservation of this pyramid for future generations is a challenge to the specialists of various scientific fields. Current study is focusing on systematic assessment of the exposed surfaces of the pyramid＇s facades identifying various stone material weathering types and their intensities, as well as major deformations of the structure further integrated into the geospatial model of the pyramid. The results of this study provide possibility to determine the most endangered areas of pyramid＇s facades and calculate the volume of necessary reconstruction work.
文摘Using ladder operators for the non-linear oscillator with position-dependent effective mass, realization of the dynamic group SU(1,1) is presented. Keeping in view the algebraic structure of the non-linear oscillator, coherent states are constructed using Barut–Girardello formalism and their basic properties are discussed. Furthermore, the statistical properties of these states are investigated by means of Mandel parameter and second order correlation function. Moreover,it is shown that in the harmonic limit, all the results obtained for the non-linear oscillator with spatially varying mass reduce to corresponding results of the linear oscillator with constant mass.
