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A general formalism is worked out for the description of one-dimensional scattering by non-local separable potentials and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the…

Quantum Physics · Physics 2009-11-13 Francesco Cannata , Alberto Ventura

The inclusion of a fragmentation mechanism in population balance equations introduces complex interactions that make the analytical or even computational treatment much more difficult than for the pure aggregation case. This is specially…

Disordered Systems and Neural Networks · Physics 2022-03-14 Arturo Berrones-Santos , Luis Benavides-Vázquez , Elisa Schaeffer , Javier Almaguer

The method for the recursive calculation of the effective potential is applied successfully in case of weak coupling limit (g tend to zero) to a multidimensional complex cubic potential. In strong-coupling limit (g tend to infinity), the…

Mathematical Physics · Physics 2008-11-26 S. -A. Yahiaoui , O. Cherroud , M. Bentaiba

In presence of dissipation, quantal states may acquire complex-valued phase effects. We suggest a notion of dissipative interferometry that accommodates this complex-valued structure and that may serve as a tool for analyzing the effect of…

Quantum Physics · Physics 2016-08-16 Erik Sjöqvist

Due to the experimental necessity we present a formula to determine the absorption strength by power losses inside a chaotic system (cavities, graphs, acoustic resonators, etc) when the antenna coupling, always present in experimental…

Mesoscale and Nanoscale Physics · Physics 2008-10-30 G. Baez , M. Martinez-Mares , R. A. Mendez-Sanchez

Complex potentials are constructed as Darboux-deformations of short range, radial nonsingular potentials. They behave as optical devices which both refracts and absorbs light waves. The deformation preserves the initial spectrum of energies…

Mathematical Physics · Physics 2009-02-26 N. Fernandez-Garcia , O. Rosas-Ortiz

A broad-band reflectionless channel which supports unidirectional wave propagation originating from the interplay between gyrotropic elements and symmetrically placed gain and loss constituents is proposed. Interchange of the active…

Optics · Physics 2013-03-06 J. M. Lee , Z. Lin , H. Ramezani , F. M. Ellis , V. Kovanis , I. Vitebskiy , T. Kottos

Recent breakthroughs in the study of scattering amplitudes have uncovered profound and unexpected connections with combinatorial geometry. These connections range from classical structures -- such as polytopes, matroids, and Grassmannians…

Combinatorics · Mathematics 2025-10-01 Thomas Lam

It is well known that acoustic fields can produce forces on single particles, however they can also induce inter-particle forces due to multiple scattering events. This multi-particle force -- here referred to as acoustic binding -- is…

Classical Physics · Physics 2022-03-10 Nicholas St. Clair , Dominique Davenport , Arnold D. Kim , Dustin Kleckner

A natural embodiment for multifunctional materials combining energy-storing capabilities and structural mechanical properties are layered structures, similar to both laminate structural composites and electrochemical energy storage devices.…

Materials Science · Physics 2020-08-13 Moumita Rana , Yunfu Ou , Chenchen Meng , Federico Sket , Carlos González , Juan J. Vilatela

The concept of complex harmonic potential in a doubly connected condenser (capacitor) is introduced as an analogue of the real-valued potential of an electrostatic vector field. In this analogy the full differential of a complex potential…

Complex Variables · Mathematics 2024-09-26 Tadeusz Iwaniec , Jani Onninen , Teresa Radice

Code Division Multiple Access (CDMA) in which the spreading code assignment to users contains a random element has recently become a cornerstone of CDMA research. The random element in the construction is particular attractive as it…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jack Raymond , David Saad

Magnetic metamaterials consist of magnetic resonators smaller in size than their excitation wavelengths. Their unique electromagnetic properties were characterized by the effective media theory at the early stage. However, the effective…

Optics · Physics 2015-05-13 H. Liu , Y. M. Liu , T. Li , S. M. Wang , S. N. Zhu , X. Zhang

It is shown that the self-energy of intermediate particles plays a crucial role in the particle oscillations in absorbing matter.

Nuclear Theory · Physics 2012-12-04 Valeriy Nazaruk

The scattering determinant for the scattering of waves from several obstacles is considered in the case of elastic solids with voids. The multi-scattering determinant displays contributions from periodic ray-splitting orbits. A discussion…

Chaotic Dynamics · Physics 2007-05-23 Niels Sondergaard , Predrag Cvitanovic , Andreas Wirzba

We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of…

Spectral Theory · Mathematics 2016-12-19 Isaac Alvarez-Romero , Yurii Lyubarskii

The surface modes of a composite consisting of aligned metallic wires with square cross sections are investigated, on the basis of photonic band structure calculations. The effective long-wavelength dielectric response function is computed,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , F. J. Garcia-Vidal , J. B. Pendry

It is well known that periodic potentials can be used to induce freezing and melting in colloids. Here, we transfer this concept to active systems and find the emergence of a so-far unknown active matter phase in between the frozen…

Soft Condensed Matter · Physics 2026-01-05 Aritra K. Mukhopadhyay , Peter Schmelcher , Benno Liebchen

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

Mathematical Physics · Physics 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

The multichannel generalization of the theory of spectral, scattering and decay control is presented. New universal algorithms of construction of complex quantum systems with given properties are suggested. Particularly, transformations of…

Quantum Physics · Physics 2009-11-07 V. M. Chabanov , B. N. Zakhariev , I. V. Amirkhanov