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The inverse scattering problem of the three-dimensional Schroedinger equation is considered at fixed scattering energy with spherically symmetric potentials. The phase shifts determine the potential therefore a constructive scheme for…

Mathematical Physics · Physics 2011-11-28 Tamas Palmai , Barnabas Apagyi

In the last decades, the blossoming of experimental breakthroughs in the domain of electron energy loss spectroscopy (EELS) has triggered a variety of theoretical developments. Those have to deal with completely different situations, from…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Hugo Lourenço-Martins , Axel Lubk , Mathieu Kociak

We develop a formalism for the scattering of a particle on the $q$-deformed Euclidean space. We write down $q$-versions of the Lippmann-Schwinger equation. Their iterative solutions for a weak scattering potential lead us to $q$-versions of…

Quantum Physics · Physics 2022-08-12 Hartmut Wachter

We study electron scattering in graphene quantum dots (GQDs) under the combined influence of a magnetic field, an energy gap, and circularly polarized laser irradiation. Using the Floquet approach and the Dirac equation, we derive the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ahmed Bouhlal , Mohammed El Azar , Aotmane En Naciri , Elmustapha Feddi , Ahmed Jellal

Quantum material systems upon applying ultrashort laser pulses provide a rich platform to access excited material phases and their transformations that are not entirely like their equilibrium counterparts. The addressability and potential…

Strongly Correlated Electrons · Physics 2021-08-19 Xiaoyi Sun , Shuaishuai Sun , Chong-Yu Ruan

We introduce a way to compute scattering amplitudes in quantum field theory including the effects of particle production and detection. Our amplitudes are manifestly causal, by which we mean that the source and detector are always linked by…

High Energy Physics - Theory · Physics 2014-06-17 Robert Dickinson , Jeff Forshaw , Peter Millington , Brian Cox

More than twenty years have passed since the threads of the `proper time formalism' in covariant classical and quantum mechanics were brought together to construct a canonical formalism for the relativistic mechanics of many particles.…

High Energy Physics - Theory · Physics 2016-09-06 M. C. Land , L. P. Horwitz

Dark current is shown to be significantly reduced in quantum well infrared photodetectors in the tunneling regime, i.e. at very low temperature, by shifting the dopant impurity layers away from the central part of the wells. This result…

Any non-trivial scattering with massless fields in four spacetime dimensions will generically produce an out-state with memory. Scattering with any massless fields violates the standard assumption of asymptotic completeness -- that all "in"…

High Energy Physics - Theory · Physics 2024-11-04 Kartik Prabhu , Gautam Satishchandran

We review work in areas ranging from condensed matter physics to quantum gravity, with the following interconnected questions in mind: (i) what is the nature of the vacuum in condensed matter systems, in quantum field theory, and in…

Quantum Gases · Physics 2025-10-20 Samin Tajik , Michael. j. Desrochers , Philip C. E. Stamp

Subwavelength atomic arrays are a leading platform for engineering light-matter interactions, enabling near-perfect single-photon mirrors and robust quantum memories based on long-lived dark spin waves. However, a comprehensive theory of…

Quantum Physics · Physics 2025-09-23 Yidan Wang , Oriol Rubies-Bigorda , Valentin Walther , Susanne F. Yelin

We develop an entangled-probe scattering theory, including quantum detection, that extends the scope of standard scattering approaches. We argue that these probes may be revolutionary in studying entangled matter such as unconventional…

Quantum Physics · Physics 2021-09-01 Abu Ashik Md Irfan , Patrick Blackstone , Roger Pynn , Gerardo Ortiz

Despite many successes of quantum electrodynamics (QED), we do not presently have a good understanding of this field of physics. QED has all of the foundational problems that standard non-relativistic quantum mechanics has, and further ones…

Quantum Physics · Physics 2024-09-13 Roderich Tumulka

We analyze the results of an experimental setup that consist of two statistically independent laser beams that cross, interfere and end at detectors. At the beam intersection we place a thin wire at the center of a dark interference fringe…

Quantum Physics · Physics 2019-05-20 Eduardo V. Flores

Modulating macroscopic parameters of materials in time offers innovative avenues for manipulating electromagnetic waves. Due to such enticing prospects, the general research subject of time-varying systems is expanding today in different…

Optics · Physics 2024-12-06 M. S. Mirmoosa , T. Setälä , A. Norrman

Motivated by the limited interaction between the mathematical physics community and theoretical physicists - particularly in high-energy theory - we present a computation that is typically the first example in QFT courses but, to our…

High Energy Physics - Theory · Physics 2025-09-26 H. A. C. Grande , J. C. A Barata

We present a quantum-defect theory (QDT) for the $-1/r^4$ type of long-range potential, as a foundation for a systematic understanding of charge-neutral quantum systems such as ion-atom, ion-molecule, electron-atom, and positron-atom…

Atomic Physics · Physics 2014-02-18 Bo Gao

One-dimensional scattering problem admitting a complex, PT-symmetric short-range potential V(x) is considered. Using a Runge-Kutta-discretized version of Schroedinger equation we derive the formulae for the reflection and transmission…

Quantum Physics · Physics 2007-05-23 Miloslav Znojil

Recently the authors developed a scattering approach that allows for a complete description of the steady-state physics of quantum-impurities in and out of equilibrium. Quantum impurities are described using scattering eigenstates defined…

Strongly Correlated Electrons · Physics 2007-05-23 Pankaj Mehta , Natan Andrei

It is the ultimate goal of this work to foster synergy between quantum chemistry and the flourishing field of quantum information theory. For this, we first translate quantum information concepts such as entanglement and correlation into…