Tootfinder

Rovibrational computations for the He$_2$ a $^3\Sigma_\mathrm{u}^ $ state including non-adiabatic, relativistic, and QED corrections
\'Ad\'am Marg\'ocsy, Bal\'azs R\'acsai, P\'eter Jeszenszki, Edit M\'atyus
https://arxiv.org/abs/2506.19116

Rovibrational computations for the He$_2$ a $^3Σ_\mathrm{u}^+$ state including non-adiabatic, relativistic, and QED corrections
A potential energy curve (PEC) accurate to a fraction of 1 ppm ($1:10^6$) is computed for the $^3Σ_\mathrm{u}^+$ state of He$_2$ endowed with relativistic and QED corrections. The nuclear Schrödinger equation is solved on this PEC with diagonal Born-Oppenheimer and non-adiabatic mass corrections to obtain highly accurate rotational-vibrational levels. The computed rovibrational intervals and fine-structure splittings, spanning over several orders of magnitude in energy, are found to be in rem…

A Comprehensive Analysis of Rovibrational CO in the Era of JWST
D. Annie Dickson-Vandervelde, Colette Salyk, Geoffrey A. Blake, Clara Ross, Adwin Boogert, Klaus Pontoppidan
https://arxiv.org/abs/2507.16127

A Comprehensive Analysis of Rovibrational CO in the Era of JWST
We present an analysis of CO rovibrational emission lines in the 183 infrared spectra of nearby Class II objects obtained with the NIRSPEC instrument on the Keck II telescope over the past two decades. The sample includes a broad range of stellar mass (both T Tauri and Herbig Ae/Be) and disk evolutionary states (from full to debris disks). We find that 53% of the sample has CO rovibrational emission lines present in their spectrum with disk/stellar subtype detection rates of 82% for transition …

Texans RB Joe Mixon (foot) expected to miss time; Week 1 in jeopardy https://www.nfl.com/news/texans-rb-joe-mixon-foot-expected-to-miss-time-week-1-in-jeopardy

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements
Sian Nie, Felix Schremmer, Qingchao Yu
https://arxiv.org/abs/2507.18453 https://arxiv…

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements
Cases of Shimura varieties where the special fibre of a Rapoport-Zink space is simply the union of classical Deligne-Lusztig varieties are known as fully Hodge-Newton decomposable ones, and have been studied with great interest in the past. In recent times, the focus has shifted to identify tractable cases beyond the fully Hodge-Newton decomposable ones, and several instances have been identified where only products of classical Deligne-Lusztig varities with simpler spaces occur. In our paper…

Taylor-mode automatic differentiation for constructing molecular rovibrational Hamiltonian operators
Andrey Yachmenev, Emil Vogt, \'Alvaro Fern\'andez Corral, Yahya Saleh
https://arxiv.org/abs/2506.20129

Taylor-mode automatic differentiation for constructing molecular rovibrational Hamiltonian operators
We present an automated framework for constructing Taylor series expansions of rovibrational kinetic and potential energy operators for arbitrary molecules, internal coordinate systems, and molecular frame embedding conditions. Expressing operators in a sum-of-products form allows for computationally efficient evaluations of matrix elements in product basis sets. Our approach uses automatic differentiation tools from the Python machine learning ecosystem, particularly the JAX library, to effici…

Rovibrational computations for He$_2^ $ X$^ \ \Sigma_\mathrm{u}^ $ including non-adiabatic, relativistic and QED corrections
Edit M\'atyus, \'Ad\'am Marg\'ocsy
https://arxiv.org/abs/2506.19120

Rovibrational computations for He$_2^+$ X$^+\ Σ_\mathrm{u}^+$ including non-adiabatic, relativistic and QED corrections
We report the potential energy curve, the diagonal Born-Oppenheimer, non-adiabatic mass, relativistic, and leading-order QED corrections for the ground electronic state of the helium dimer cation; the higher-order QED and finite-nuclear size effects are also estimated. The computations are carried out with an improved error control and over a much broader configuration range compared to earlier work [D. Ferenc, V. I. Korobov, and E. Mátyus, Phys. Rev. Lett. 125, 213001 (2020)]. As a result, al…

Now @… from #Shopify speaks about one of the most controversial topics in #RubyProgramming: #Types

Inline RBS comments support for Sorbet
How Sorbet and RBS can work together to elevate your Ruby development experience

Spectrum Opportunities for the Wireless Future: From Direct-to-Device Satellite Applications to 6G Cellular
Theodore S. Rappaport, Todd E. Humphreys, Shuai Nie
https://arxiv.org/abs/2506.18672

Spectrum Opportunities for the Wireless Future: From Direct-to-Device Satellite Applications to 6G Cellular
For the next-generation wireless networks and beyond, both the upper mid-band (7 GHz-24 GHz) and terahertz (100 GHz-1 THz) spectra are gaining global attention from service providers, academic research groups, policy makers, and standards organizations. This article provides an in-depth analysis of recent regulatory rulings and spectrum preferences issued by international standard bodies such as the International Telecommunications Union and Federal Communications Commission as they seek to ide…

Raiders releasing DT Christian Wilkins after one season https://www.nfl.com/news/raiders-releasing-dt-christian-wilkins-after-one-season

Cardinals DL Walter Nolen's rookie training camp in jeopardy due to calf injury https://www.nfl.com/news/cardinals-dl-walter-nolen-s-rookie-training-camp-in-jeopardy-due-to-calf-injury