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Despite the vastly different angular scales on which they are measured, the integrated $\lambda$21 cm \HI\ optical depth measured interferometrically, \WHI, is a good proxy for the optical reddening derived from IR dust emission, with…

星系天体物理 · 物理学 2019-08-14 Harvey S Liszt

The absorption of infrared and visible radiation from stellar emission spectra by the negatively charged hydrogen ions H$^{-}$ is considered. We derive the explicit formulas for the bound-free absorption coefficient $a_{\nu}$ for the…

太阳与恒星天体物理 · 物理学 2013-12-11 Alexei M. Frolov

We transform the Schr\"odinger wave equation to a nine-parameter Heun-type differential equation. Using our solutions of the latter in [J. Math. Phys. 59 (2018) 113507], we are able to identify the associated potential function, energy…

量子物理 · 物理学 2020-12-25 A. D. Alhaidari

The isotope effects in x-ray absorption spectra of liquid water are studied by a many-body approach within electron-hole excitation theory. The molecular structures of both light and heavy water are modeled by path-integral molecular…

无序系统与神经网络 · 物理学 2020-09-29 Chunyi Zhang , Linfeng Zhang , Jianhang Xu , Fujie Tang , Biswajit Santra , Xifan Wu

The Weiner's theory (WT) is developed on the basis of the exactly solvable Schr\"odinger equation with trigonometric double-well potential (TDWP). The symmetric case of TDWP is considered. This modified version of WT (mWT) enables one to…

化学物理 · 物理学 2026-04-06 A. E. Sitnitsky

The absolute cross sections for the production of X2+ and X3+ ions following absorption of monochromatized SOLEIL synchrotron radiation by the HX+ hydride molecular ions (X = S,Cl) are presented as a function of photon energy in the region…

We report a solution of the one-dimensional Schrodinger equation with a hyperbolic double-well confining potential via a transformation to the so-called confluent Heun equation. We discuss the requirements on the parameters of the system in…

数学物理 · 物理学 2013-07-02 C. A. Downing

The infrared absorption spectrum of the protonated water dimer (H5O2+) is simulated in full dimensionality (15D) in the spectral range 0-4000 cm-1. The calculations are performed using the Multiconfiguration Time-Dependent Hartree (MCTDH)…

化学物理 · 物理学 2007-11-12 Oriol Vendrell , Fabien Gatti , Hans-Dieter Meyer

We present a conditionally integrable potential, belonging to the bi-confluent Heun class, for which the Schr\"odinger equation is solved in terms of the confluent hypergeometric functions. The potential involves an attractive inverse…

量子物理 · 物理学 2018-05-08 T. A. Ishkhanyan , V. P. Krainov , A. M. Ishkhanyan

In this work, we present analytical solutions of Schr\"odinger equation for Coulomb potential in presence of a Dunkl reflection operator. Expressions are offered for eigenvalues, eigenfunctions and radial densities for H-isoelectronic…

量子物理 · 物理学 2026-01-13 Akash Halder , Amlan K. Roy , Debraj Nath

Extensive calculations of the atomic data required for the spectral modelling of the K-shell photoabsorption of oxygen ions have been carried out in a multi-code approach. The present level energies and wavelengths for the highly ionized…

天体物理学 · 物理学 2009-11-10 J. Garcia , C. Mendoza , M. A. Bautista , T. W. Gorczyca , T. R. Kallman , P. Palmeri

Relaxed atomic geometries and chemisorption energies have been calculated for the dissociative adsorption of molecular hydrogen on vicinal Si(001) surfaces. We employ density-functional theory, together with a pseudopotential for Si, and…

凝聚态物理 · 物理学 2009-10-31 E. Pehlke , P. Kratzer

Baryons containing two heavy quarks are treated in the Born-Oppenheimer approximation. Schr\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter…

高能物理 - 唯象学 · 物理学 2009-10-31 D. U. Matrasulov , M. M. Musakhanov , T. Morii

The process of nonsequential two-photon double ionization of helium is studied by two complementary numerical approaches. First, the time-dependent Schr{\"o}dinger equation is solved and the final wave function is analyzed in terms of…

量子物理 · 物理学 2010-09-13 Sølve Selstø , Tore Birkeland , Simen Kvaal , Raymond Nepstad , Morten Førre

We present analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion. In particular, we present closed form expressions for the electronic energy curves of this system that correspond to the ground…

量子物理 · 物理学 2021-12-28 Stavros Theodorakis

An accurate ab initio theory of the H-bond structure of liquid water requires a high-level exchange correlation approximation from density functional theory. Based on the liquid structures modeled by ab initio molecular dynamics by using…

化学物理 · 物理学 2019-09-25 Jianhang Xu , Mohan Chen , Cui Zhang , Xifan Wu

Based on the results of exact consideration of electron-ion Coulomb interaction, by numerical simulations for ultimate absorption coefficient, we study the practically more interesting case of absorption of hard x-ray quanta of frequency…

等离子体物理 · 物理学 2019-05-22 A. G. Ghazaryan

The supersymmetric approach in the form of second order intertwining relations is used to prove the exact solvability of two-dimensional Schrodinger equation with generalized two-dimensional Morse potential for $a_0=-1/2$. This…

高能物理 - 理论 · 物理学 2011-09-12 M. V. Ioffe , D. N. Nishnianidze

Fully numerical mesh solutions of 2D and 3D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of…

原子物理 · 物理学 2007-05-23 Mikhail V. Ivanov

A complete set of all optical phonon modes predicted by symmetry for bixbyite structure indium oxide is reported here from a combination of far-infrared and infrared spectroscopic ellipsometry, as well as first principle calculations.…