The Talbot effect: recent advances in classical optics, nonlinear optics, and quantum optics

J Wen, Y Zhang, M Xiao - Advances in optics and photonics, 2013 - opg.optica.org
The Talbot effect, also referred to as self-imaging or lensless imaging, is of the phenomena
manifested by a periodic repetition of planar field distributions in certain types of wave fields …

[图书][B] Fractional dynamics: applications of fractional calculus to dynamics of particles, fields and media

VE Tarasov - 2011 - books.google.com
" Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields
and Media" presents applications of fractional calculus, integral and differential equations of …

[图书][B] The rainbow and the worm: The physics of organisms

MW Ho - 2008 - books.google.com
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 …

Position-dependent mass fractal Schrodinger equation from fractal anisotropy and product-like fractal measure and its implications in quantum dots and nanocrystals

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 …

[PDF][PDF] A review on application of the local fractal calculus

AK Golmankhaneh - Num. Com. Meth. Sci. Eng, 2019 - researchgate.net
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 …

On the quantification of entanglement in infinite-dimensional quantum systems

J Eisert, C Simon, MB Plenio - Journal of Physics A: Mathematical …, 2002 - iopscience.iop.org
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 …

A trajectory-based understanding of quantum interference

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 causal look into the quantum Talbot effect

AS Sanz, S Miret-Artés - The Journal of chemical physics, 2007 - pubs.aip.org
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 …

Fractal Schrödinger equation: implications for fractal sets

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 …

Fractal frequency spectrum in laser resonators and three-dimensional geometric topology of optical coherent waves

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 …