Tag Mathematical Physics

Understanding GKSL Generators: The Intersection of Quantum States and Digraphs

The study of quantum mechanics often finds its complexity tempered by the elegance and functionality of mathematical frameworks. One such framework is the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation, an essential tool in describing quantum dynamical semigroups (QDS). In this article, we delve… Continue Reading →

Understanding the Dual Conformable Derivative: Properties and Applications

The concept of derivatives is foundational in mathematics and physics, shaping our understanding of change and dynamics. However, the emergence of concepts such as the dual conformable derivative has expanded this understanding, providing deeper insights and new applications in various… Continue Reading →

The Fascinating World of Bessel Functions of the First Kind: Exploring Zeros, Series Identities, and Laplace Transform Methods

Exploring the vast realm of mathematics often leads us to uncover hidden connections and remarkable properties of seemingly complex concepts. In this article, we delve into a research paper published by Andrea Giusti and Francesco Mainardi, which sheds light on… Continue Reading →

Pseudospherical Functions on a Hyperboloid of One Sheet: Exploring a Complex Mathematical Concept

Unraveling the Mystery of Pseudospherical Functions on a Hyperboloid Mathematics is a vast and intricate field, sometimes making it difficult for the general audience to comprehend complex ideas. However, there are brilliant minds out there dedicated to making such dense… Continue Reading →

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