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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

Stable or metastable crystal structures of assembled atoms can be predicted by finding the global or local minima of the energy surface within a broad space of atomic configurations. Generally, this requires repeated first-principles energy…

Three-dimensional charge density maps computed by first-principles methods provide information about atom positions and the bonds between them, data which is particularly valuable when trying to understand the properties of point defects,…

Materials Science · Physics 2008-10-22 Christoph T. Koch

A novel efficient method to calculate the scattering matrix (SM) of arbitrary tight-binding Hamiltonians is proposed, including cases with multiterminal structures. In particular, the SM of two kind of fundamental structures are given,…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Carlos Ramirez , Luis A. Medina-Amayo

There are many instances when the structure of a weakly-scattering spinning object in flight must be determined to high resolution. Examples range from comets to nanoparticles and single molecules. The latter two instances are the subject…

Biological Physics · Physics 2008-06-17 Russell Fung , Valentin Shneerson , Dilano K. Saldin , Abbas Ourmazd

A new approach to precise determination of atomic matrix elements is described whereby measurement of spectral locations of zeros in the Rayleigh scattering cross-section allows frequency-domain extraction of matrix elements in terms of a…

Quantum Physics · Physics 2015-08-12 M. D. Havey

A version of scattering theory that was developed many years ago to treat nuclear scattering processes, has provided a powerful tool to study universality in scattering processes involving open quantum systems with underlying classically…

Chaotic Dynamics · Physics 2022-10-12 L. E. Reichl , G. Akguc

We introduce the transition-density formalism, an efficient and general method for calculating the interaction of external probes with light nuclei. One- and two-body transition densities that encode the nuclear structure of the target are…

Nuclear Theory · Physics 2020-12-30 Harald W. Griesshammer , Judith A. McGovern , Andreas Nogga , Daniel R. Phillips

Scanning tunneling microscopy (STM) is a powerful technique for imaging atomic structure and inferring information on local elemental composition, chemical bonding, and electronic excitations. However, traditional methods of visual…

Superconductivity · Physics 2023-02-21 Qiang Zou , Basu Dev Oli , Huimin Zhang , Joseph Benigno , Xin Li , Lian Li

The {\AA}ngstr\"om-sized probe of the scanning transmission electron microscope can visualize and collect spectra from single atoms. This can unambiguously resolve the chemical structure of materials, but not their isotopic composition.…

Contrast transfer mechanisms for electron scattering have been extensively studied in transmission electron microscopy. Here we revisit H. Rose's generalized contrast formalism from scattering theory to understand where information is…

Optics · Physics 2025-10-28 Desheng Ma , Guanxing Li , David A Muller , Steven E Zeltmann

We analyze the quantum limit of sensitivity in four-dimensional scanning transmission electron microscopy (4D-STEM), which has emerged as a favored technique for imaging the structure of a wide variety of materials, including biological and…

Optics · Physics 2024-08-14 Christian Dwyer , David M. Paganin

One of the biggest challenges in the field of biomedical imaging is the comprehension and the exploitation of the photon scattering through disordered media. Many studies have pursued the solution to this puzzle, achieving light-focusing…

Machine Learning · Statistics 2019-04-03 Daniele Ancora , Luca Leuzzi

Transport through semiconductor nanostructures is a quantum-coherent process. This paper focuses on systems in which the electron's dynamics is ballistic and the transport is dominated by the scattering from structure boundaries. Opposite…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. R. Racec , P. N. Racec , U. Wulf

We demonstrate that simultaneous reconstruction of scattering and absorption of a mesoscopic system using angularly-resolved measurements of scattered light intensity is possible. Image reconstruction is realized based on the algebraic…

Optics · Physics 2011-01-07 Lucia Florescu , John C. Schotland , Vadim A. Markel

Total energy electronic structure calculations, based on density functional theory or on the more empirical tight binding approach, are generally believed to scale as the cube of the number of electrons. By using the localisaton property of…

Materials Science · Physics 2009-11-11 Florian R. Krajewski , Michele Parrinello

Photocatalytic water splitting represents a pivotal pathway for converting solar energy into chemical energy, with the core challenge lying in the design and optimization of photocatalysts [1] . TiO2, as a quintessential photocatalytic…

Materials Science · Physics 2025-02-20 Zhihao Shen

Recent developments of imaging techniques enable researchers to visualize materials at the atomic resolution to better understand the microscopic structures of materials. This paper aims at automatic and quantitative characterization of…

Materials Science · Physics 2018-05-11 Jianfeng Lu , Haizhao Yang

In massive multiple-input multiple-output (MIMO) systems, the knowledge of the users' channel covariance matrix is crucial for minimum mean square error (MMSE) channel estimation in the uplink as well as it plays an important role in…

Information Theory · Computer Science 2022-06-07 Tianyu Yang , Mahdi Barzegar Khalilsarai , Saeid Haghighatshoar , Giuseppe Caire

Machine learning has emerged as a powerful tool in materials discovery, enabling the rapid design of novel materials with tailored properties for countless applications, including in the context of energy and sustainability. To ensure the…