" Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of …
This highly unusual book began as a serious inquiry into Schr dinger's question,? What is life??, and as a celebration of life itself. It takes the reader on a voyage of discovery through …
RA El-Nabulsi - Optical and Quantum Electronics, 2021 - Springer
In this study, the Schrödinger equation with position-dependent mass in fractal dimensions is constructed from fractal anisotropy and product-like fractal measure introduced by Li and …
A Review on Application of the Local Fractal Calculus Page 1 Num. Com. Meth. Sci. Eng. 1, No. 2, 57-66 (2019) 57 Numerical and Computational Methods in Sciences & Engineering An …
We investigate entanglement measures in the infinite-dimensional regime. First, we discuss the peculiarities that may occur if the Hilbert space of a bi-partite system is infinite …
AS Sanz, S Miret-Artés - Journal of Physics A: Mathematical and …, 2008 - iopscience.iop.org
Interference is one of the most fundamental features which characterizes quantum systems. Here we provide an exhaustive analysis of the interfere dynamics associated with wave …
A well-known phenomenon in both optics and quantum mechanics is the so-called Talbot effect. This near field interference effect arises when infinitely periodic diffracting structures …
AK Golmankhaneh, S Pellis… - Journal of Physics A …, 2024 - iopscience.iop.org
This paper delves into the world of fractal calculus, investigating its implications for fractal sets. It introduces the Fractal Schrödinger equation and provides insights into its …
JC Tung, PH Tuan, HC Liang, KF Huang, YF Chen - Physical Review A, 2016 - APS
We theoretically verify that the symmetry breaking in spherical resonators can result in a fractal frequency spectrum that is full of numerous new accidental degeneracies to cluster …