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In the present article, we review a continual effort on generalization of the Trotter formula to higher-order exponential product formulas. The exponential product formula is a good and useful approximant, particularly because it conserves…

Mathematical Physics · Physics 2011-11-10 Naomichi Hatano , Masuo Suzuki

The Product of Exponentials (PoE) formula is a mathematical tool that is used extensively in robotics. The virtue of using the exponential mapping, Lie Algebra and screw theory is that it allows an elegant and concise way of describing the…

Instrumentation and Methods for Astrophysics · Physics 2022-03-03 Aryslan Malik , Troy Henderson , Richard Prazenica

The nuclear-electronic orbital (NEO) method is a well-established approach for treating nuclei quantum mechanically in molecular systems beyond the usual Born-Oppenheimer approximation. In this work, we present a strategy to implement the…

Computational Physics · Physics 2022-06-29 Jianhang Xu , Ruiyi Zhou , Zhen Tao , Christopher Malbon , Volker Blum , Sharon Hammes-Schiffer , Yosuke Kanai

The extension of the highly-optimized local natural orbital (LNO) CCSD(T) method is presented for high-spin open-shell molecules. The techniques enabling the outstanding efficiency of the closed-shell LNO-CCSD(T) variant are adopted,…

Chemical Physics · Physics 2023-11-17 P. Bernát Szabó , József Csóka , Mihály Kállay , Péter R. Nagy

The accurate description of nuclear quantum effects, such as zero-point energy, is important for modeling a wide range of chemical and biological processes. Within the nuclear-electronic orbital (NEO) approach, such effects are incorporated…

Chemical Physics · Physics 2022-09-07 Fabijan Pavošević , Sharon Hammes-Schiffer

We present the Electronic Tensor Reconstruction Algorithm (ELECTRA) - an equivariant model for predicting electronic charge densities using floating orbitals. Floating orbitals are a long-standing concept in the quantum chemistry community…

Machine Learning · Computer Science 2026-01-27 Jonas Elsborg , Luca Thiede , Alán Aspuru-Guzik , Tejs Vegge , Arghya Bhowmik

The symmetry-constrained response tensors on transport, optical, and electromagnetic effects are of central importance in condensed matter physics because they can guide experimental detections and verify theoretical calculations. These…

Materials Science · Physics 2025-09-29 Rui-Chun Xiao , Yuanjun Jin , Zhi-Fan Zhang , Zi-Hao Feng , Ding-Fu Shao , Mingliang Tian

In this work, we experimentally investigate spin and orbital torque phenomena using the spin-torque ferromagnetic resonance (ST-FMR) technique in a series of bilayer systems composed of different normal metal (NM) materials. Permalloy (Py)…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 J. L. Costa , E. Santos , A. Y. M. Tani , J. B. S. Mendes , A. Azevedo

We consider to detect the electron spin of a doped atom, i.e., a nitrogen or a phosphorus, caged in a fullerene by currently available technique of the scanning tunneling microscope (STM), which actually corresponds to the readout of a…

Quantum Physics · Physics 2009-11-13 M. Feng , G. J. Dong , B. Hu

Astronomical observations place increasingly tighter and more diverse constraints on the properties of neutron stars (NS). Examples include observations of radio or gamma-ray pulsars, accreting neutron stars and x-ray bursts, magnetar giant…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Wolfgang Kastaun , Frank Ohme

The quantum description of a particle moving in a deformed potential is investigated. A pseudostate (PS) basis is used to represent the states of the composite system. This PS basis is obtained by diagonalizing the system Hamiltonian in a…

Nuclear Theory · Physics 2012-05-24 J. A. Lay , A. M. Moro , J. M. Arias , J. Gómez-Camacho

From configuration interaction (CI) ab initio calculations, we derive an effective two-orbital extended Hubbard model based on the gerade (g) and ungerade (u) molecular orbitals (MOs) of the charge-transfer molecular conductor (TTM-TTP)I_3…

Materials Science · Physics 2012-01-31 Masahisa Tsuchiizu , Yukiko Omori , Yoshikazu Suzumura , Marie-Laure Bonnet , Vincent Robert

This revisit gives a survey on the analytical methods for the inverse exponential Radon transform which has been investigated in the past three decades from both mathematical interests and medical applications such as nuclear medicine…

Image and Video Processing · Electrical Eng. & Systems 2020-02-06 Jason You

Gravitational-wave observations of binary neutron-star (BNS) mergers have the potential to revolutionize our understanding of the nuclear equation of state (EOS) and the fundamental interactions that determine its properties. However,…

High Energy Astrophysical Phenomena · Physics 2024-06-03 Brendan T. Reed , Rahul Somasundaram , Soumi De , Cassandra L. Armstrong , Pablo Giuliani , Collin Capano , Duncan A. Brown , Ingo Tews

In this article we build a metric for a classical general relativistic electron model with QED corrections. We calculate the stress-energy tensor for the radiative corrections to the Coulomb potential in both the near-field and far-field…

General Relativity and Quantum Cosmology · Physics 2010-06-10 Ron Lenk

Electronic structure of the transition metal (TM) dopants in ZnO is calculated by first principles approach. Analysis of the results is focused on the properties determined by the intrashell Coulomb coupling. The role of both direct and…

Materials Science · Physics 2019-02-27 A. Ciechan , P. Bogusławski

Electron repulsion integral tensor has ubiquitous applications in quantum chemistry calculations. In this work, we propose an algorithm which compresses the electron repulsion tensor into the tensor hypercontraction format with…

Numerical Analysis · Mathematics 2015-06-18 Jianfeng Lu , Lexing Ying

Coherent elastic neutrino-nucleus scattering (CEvNS) can be used to determine the neutron part of nuclear form factors, unlocking intrinsic properties of nuclear structure. In contrast with other such methods, CEvNS is free from both strong…

Instrumentation and Detectors · Physics 2018-08-20 Emilio Ciuffoli , Jarah Evslin , Qiang Fu , Jian Tang

In the present article, we show how to formulate the partially contracted n-electron valence second order perturbation theory (NEVPT2) energies in the atomic and active molecular orbital basis by employing the Laplace transformation of…

Chemical Physics · Physics 2017-06-28 Benjamin Helmich-Paris , Stefan Knecht

We present the construction of an exponentially accurate time-dependent Born-Oppenheimer approximation for molecular quantum mechanics. We study molecular systems whose electron masses are held fixed and whose nuclear masses are…

Mathematical Physics · Physics 2009-10-31 George A. Hagedorn , Alain Joye