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We study the structure of resonances derived from the solution of an exactly solvable Lippmann-Schwinger equation. Within this framework, we discuss the concept of "resonance form factors", and the description of the resonant amplitudes in…

Nuclear Theory · Physics 2018-12-24 Peter C. Bruns

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

It has been proven that when connecting two infinite semi-cylinders or waveguides with a finite cylinder or resonator at a certain frequency, it is possible to transmit a signal almost completely from one semi-cylinder to another. In this…

Mathematical Physics · Physics 2024-11-26 Andrey L. Delitsyn , Irina K. Troshina

The equations for the amplitudes of transition probabilities are found. The resonance frequency of the system is calculated. It is shown the dependence of the resonance frequency on the initial transverse coordinate of an electron. This…

Accelerator Physics · Physics 2016-12-07 Karen Badikyan , A. S. Badikyan , D. K. Hovhannisyan

The problem of the reflectance of a photon by a metallic mirror whose position is treated quantum mechanically is considered. The interaction between the metallic surface and the light is treated classically. It is shown that the…

Quantum Physics · Physics 2010-03-25 Pablo L. Saldanha

Quantum above-barrier reflection of ultra-cold atoms by the Rosen-Morse potential is analytically considered within the mean field Gross-Pitaevskii approximation. Reformulating the problem of reflectionless transmission as a quasi-linear…

Quantum Gases · Physics 2010-04-12 H. A. Ishkhanyan , V. P. Krainov , A. M. Ishkhanyan

The peculiarities of coherent spin radiation by magnetic nanomolecules is investigated by means of numerical simulation. The consideration is based on a microscopic Hamiltonian taking into account realistic dipole interactions.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. I. Yukalov , V. K. Henner , P. V. Kharebov , E. P. Yukalova

Employing the concept of time-delay, a relation is found which counts the number of quantal resonances supported by a potential. Several simple and advanced illustrations include a treatment of square-well, Dirac delta barrier, an…

Quantum Physics · Physics 2009-11-10 Zafar Ahmed , Sudhir R. Jain

The exact analytical solutions of the Schr\"odinger equation for the generalized symmetrical Woods-Saxon potential are examined for the scattering, bound and quasi-bound states in one dimension. The reflection and transmission coefficients…

Quantum Physics · Physics 2016-03-22 B. C. Lütfüoğlu , F. Akdeniz , O. Bayrak

The problem of quantum harmonic oscillator with "regular+random" square frequency, subjected to "regular+random external force, is considered in framework of representation of the wave function by complex-valued random process. Average…

Quantum Physics · Physics 2007-05-23 A. S. Gevorkyan , A. A. Udalov

We find the quantum power emitted and distribution in $3+1$-dimensions of relativistic acceleration radiation using a single perfectly reflecting mirror via Lorentz invariance demonstrating close analogies to point charge radiation in…

General Relativity and Quantum Cosmology · Physics 2021-04-13 Abay Zhakenuly , Maksat Temirkhan , Michael R. R. Good , Pisin Chen

A peculiar property of complex scattering potentials is the appearance of spectral singularities. These are energy eigenvalues for certain scattering states that similarly to resonance states have infinite reflection and transmission…

Quantum Physics · Physics 2010-11-02 Ali Mostafazadeh

The conductance of a quantum wire containing a single magnetic barrier is studied numerically by means of the recursive Greens function technique. For sufficiently strong and localized barriers, Fano - type reflection resonances are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hengyi Xu , T. Heinzel , M. Evaldsson , S. Ihnatsenka , I. V. Zozoulenko

We derive the exact expression for the resonant frequency of the time-averaged steady-state energy and show that this frequency is excellently approximated by the arithmetic mean of the amplitude and velocity resonant frequencies. In…

Classical Physics · Physics 2025-01-10 Karlo Lelas , Nikola Poljak

Decades of work on beam deformation on reflection, and especially on lateral shifts, have spread the idea that a reflected beam is larger than the incident beam. However, when the right conditions are met, a beam reflected by a multilayered…

Quantum reflection is a universal property of atoms and molecules when scattered from surfaces in ultracold collisions. Recent experimental work has documented the quantum reflection and diffraction of He atoms, dimers, trimers and Neon…

Quantum Physics · Physics 2018-12-12 G. Rojas-Lorenzo , J. Rubayo-Soneira , S. Miret-Artés , E. Pollak

We consider a quantum above-barrier reflection of a Bose-Einstein condensate by a one-dimensional rectangular potential barrier, or by a potential well, for nonlinear Schroedinger equation (Gross-Pitaevskii equation) with a small…

Quantum Gases · Physics 2009-11-03 H. A. Ishkhanyan , V. P. Krainov

In this paper we show how to measure in the setting of digital quantum simulations the reflection and transmission amplitudes of the one-dimensional scattering of a particle with a short-ranged potential. The main feature of the protocol is…

Quantum Physics · Physics 2024-10-18 Giuseppe Mussardo , Andrea Stampiggi , Andrea Trombettoni

We experimentally report perfect acoustic absorption through the interplay of the inherent losses and transparent modes with high $Q$ factor. These modes are generated in a two-port, one-dimensional waveguide which is side-loaded by…

Classical Physics · Physics 2015-09-07 A. Merkel , G. Theocharis , O. Richoux , V. Romero-García , V. Pagneux

A theory of image-potential states is presented for the general case where these surface electronic states are resonant with a bulk continuum. The theory extends the multiple scattering approach of Echenique and Pendry into the strong…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Ulrich Höfer , Pedro M. Echenique