Introduction/purpose: Starting from the Hamiltonian an alternative description of quantum mechanics has been given, based on sum all possible paths between initial and a final point. Methods: Theoretical methods mathematical physics. Integral method path integral. Results: The concepts integral could be applied to other branches physics, not limited mechanics. Conclusions: Path approach gives g...

Number fields and global function fields have many similar properties. Both have many applications to cryptography and coding theory, and the main computational problems for number fields, such as computing the ring of integers and computing the class group and the unit group, have analogues over function fields. The complexity of the number field problems has been studied extensively and these...

Using a full-dimensional Monte Carlo classical ensemble method, we present a theoretical study of atomic nonsequential double ionization (NSDI) with mid-infrared laser fields, and compare with results from near-infrared laser fields. Unlike single-electron strong-field processes, double ionization shows complex and unexpected interplays between the returning electron and its parent ion core. As...

The importance of advancing women’s rights is closely intertwined with the development of civil society and the institutionalization of democracy in Middle Eastern countries. There is indeed an intimate relationship between the process of democratization and promoting gender equality, since democracy necessitates equality between men and women. In order to advance the issue of gender equality, ...

Yüce kitabımız Kur’ân-ı Kerîm’in mûcizeliğine ve eşsizliğine birer delil olan âyet-i kerîmelerin, sûre içinde Kur’ân’ın tamamında var sayılarıyla ilgili farklı rakamlar dile getirilmiştir. Bu durum Ulûmu’l-Kur’ân konuları içinde, Kur’ân’ı Kerîm’e ziyâde noksanlık gibi tahrifatlara imkân vermeyecek bir şekilde kaideleri, esasları tespit edilen ilim Âddü’l-Ây başlığında, Hz. Peygamber’e, onun ash...