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Symmetry is one of the most central concepts in physics, and it is no surprise that it has also been widely adopted as an inductive bias for machine-learning models applied to the physical sciences. This is especially true for models…

Chemical Physics · Physics 2024-12-23 Marcel F. Langer , Sergey N. Pozdnyakov , Michele Ceriotti

We consider deflection of polarizable molecules by inhomogeneous optical fields, and analyze the role of molecular orientation and rotation in the scattering process. It is shown that molecular rotation induces spectacular rainbow-like…

Quantum Physics · Physics 2015-05-19 E. Gershnabel , I. Sh. Averbukh

The Milne-Eddington approximation provides an analytic and simple solution to the radiative transfer equation. It can be easily implemented in inversion codes that are used to fit spectro-polarimetric observations to infer average values of…

Solar and Stellar Astrophysics · Physics 2022-03-23 A. J. Dorantes-Monteagudo , A. L. Siu-Tapia , C. Quintero Noda , D. Orozco Suárez

Extremely fast rotating molecules carrying significantly more energy in their rotation than in any other degree of freedom are known as "super rotors". It has been speculated that super rotors may exhibit a number of unique properties.…

Optics · Physics 2013-06-11 Aleksey Korobenko , Alexander A. Milner , Valery Milner

We present a practical roadmap to achieve optical cycling and laser cooling of asymmetric top molecules (ATMs). Our theoretical analysis describes how reduced molecular symmetry, as compared to diatomic and symmetric non-linear molecules,…

Atomic Physics · Physics 2020-08-05 Benjamin L. Augenbraun , John M. Doyle , Tanya Zelevinsky , Ivan Kozyryev

Grating spectra exhibit sharp variations of the scattered light, known as grating anomalies. The latter are due to resonances that have fascinated specialists of optics and physics for decades and are nowadays used in many applications. We…

Optics · Physics 2019-09-10 Alexandre Gras , Wei Yan , Philippe Lalanne

The dynamics of non-polar diatomic molecules interacting with a far-detuned narrow-band laser field, that only may drive rotational transitions, is studied. The rotation of the molecule is considered both classically and quantum…

Quantum Physics · Physics 2009-11-10 A. Adelswaerd , S. Wallentowitz

One of the molecular properties most intuitive to the human perception is the geometrical shape. However, when exploring a large chemical space the determination of shape needs to be automated. We present a fast and simple approach to…

Chemical Physics · Physics 2019-04-16 Guido Falk von Rudorff

This article covers few selected aspects of quantum theory of molecular rotations and vibrations. Triatomic molecules are the simplest systems, which show qualitative characteristics of larger polyatomic molecules. On the minimal example of…

Chemical Physics · Physics 2022-03-18 Emil J. Zak

Molecular rotation spectra, generated by the coupling of the molecular electric-dipole moments to an external time-dependent electric field, are discussed in a few particular conditions which can be of some experimental interest. First, the…

Other Condensed Matter · Physics 2015-12-15 M. Apostol , L. C. Cune

The vibrational behavior of molecules serves as a crucial fingerprint of their structure, chemical state, and surrounding environment. Neutron vibrational spectroscopy provides comprehensive measurements of vibrational modes without…

Chemical Physics · Physics 2025-02-19 Bowen Han , Pei Zhang , Kshitij Mehta , Massimiliano Lupo Pasini , Mingda Li , Yongqiang Cheng

The theory of nonlinear spectroscopy on randomly oriented molecules leads to the problem of averaging molecular quantities over the random rotation. We solve this problem for arbitrary tensor rank by deriving a closed-form expression for…

Mathematical Physics · Physics 2019-02-08 Reed Nessler , Tuguldur Begzjav

Physicists routinely need probabilistic models for a number of tasks such as parameter inference or the generation of new realizations of a field. Establishing such models for highly non-Gaussian fields is a challenge, especially when the…

Data Analysis, Statistics and Probability · Physics 2024-10-07 Sihao Cheng , Rudy Morel , Erwan Allys , Brice Ménard , Stéphane Mallat

A rotor system, having the symmetry afforded by the two-parameter quantum algebra Uqp(u(2)), is investigated in this communication. This system is useful in rotational spectroscopy of molecules and nuclei. In particular, it is shown to lead…

Nuclear Theory · Physics 2007-05-23 R. Barbier , M. Kibler

Spectroscopy is a crucial laboratory technique for understanding quantum systems through their interactions with electromagnetic radiation. Particularly, spectroscopy is capable of revealing the physical structure of molecules, leading to…

Quantum Physics · Physics 2018-05-24 Ling Hu , YueChi Ma , Y. Xu , W. Wang , Y. Ma , K. Liu , M. -H. Yung , L. Sun

Angular momentum is traditionally taught as a (pseudo)vector quantity, tied closely to the cross product. This approach is familiar to experts but challenging for students, and full of subtleties. Here, we present an alternative pedagogical…

Physics Education · Physics 2023-08-21 Steuard Jensen , Jack Poling

The aim of this article is a comprehensive description of normal modes of molecular vibrations. The starting point is chosen to be a general molecular system with separated center of mass and an arbitrary embedding of body-fixed axes. This…

Quantum Physics · Physics 2016-01-20 Emil Zak

The rich information content of measurements in the molecular frame rather than the laboratory frame has motivated the development of several methods for aligning gas phase molecules in space. Even so, for asymmetric tops the problem of…

Atomic Physics · Physics 2016-11-23 Varun Makhija , Xiaoming Ren , Drue Gockel , Anh-Thu Le , Vinod Kumarappan

Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

Soft Condensed Matter · Physics 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch

Deep learning is changing many areas in molecular physics, and it has shown great potential to deliver new solutions to challenging molecular modeling problems. Along with this trend arises the increasing demand of expressive and versatile…

Machine Learning · Computer Science 2023-12-27 Jun Zhang , Yao-Kun Lei , Yaqiang Zhou , Yi Isaac Yang , Yi Qin Gao