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The main motivation for this work is the exploration of rotational-vibrational states corresponding to electronic excitations in a pre-Born-Oppenheimer quantum theory of molecules. These states are often embedded in the continuum of the…

化学物理 · 物理学 2018-10-15 Edit Mátyus

Following the first principles the analytic Born-Oppenheimer (BO) potential curve for the ground state $X^1\Sigma^+$ of the molecule ClF is proposed for whole range of internuclear distances $R \in [0,\infty)$. It is based on matching the…

化学物理 · 物理学 2023-09-06 Horacio Olivares Pilon , Alexander V Turbiner

We formulate the theory for a diatomic molecule in a spatially degenerate electronic state interacting with a non-resonant laser field and investigate its rovibrational structure in the presence of the field. We report on \textit{ab initio}…

The calculation of the hindered roton-phonon energy levels of a hydrogen molecule in a confining potential with different symmetries is systematized for the case when the rotational angular momentum $J$ is a good quantum number. One goal of…

凝聚态物理 · 物理学 2009-11-07 T. Yildirim , A. B. Harris

We report on a high-resolution spectroscopic survey of ${}^{6}\textrm{Li}{}^{40}\textrm{K}$ molecules near the $2\textrm{S}+4\textrm{P}$ dissociation threshold and produce a fully empirical representation for the $\textrm{B}^{1}\Pi$…

原子物理 · 物理学 2022-02-23 Sofia Botsi , Anbang Yang , Mark M. Lam , Sambit B. Pal , Sunil Kumar , Markus Debatin , Kai Dieckmann

By making use of the quantization rule of Raab and Friedrich [P. Raab and H. Friedrich, Phys. Rev. A 78, 022707 (2008)], we derive simple and accurate formulae for the number of rotational states supported by a weakly-bound vibrational…

原子物理 · 物理学 2009-06-08 Mikhail Lemeshko , Bretislav Friedrich

The shifted Tietz-Wei (sTW) oscillator is as good as traditional Morse potential in simulating the atomic interaction in diatomic molecules. By using the Pekeris-type approximation to deal with the centrifugal term, we obtain the…

化学物理 · 物理学 2015-04-22 Babatunde J. Falaye , Sameer M. Ikhdair , Majid Hamzavi

We observe long-range $^{85}$Rb and $^{87}$Rb (24$D$+5$S_{1/2}$) Rydberg molecules for eight different spin couplings, with binding energies up to 440~MHz and sub-percent relative uncertainty. Isotopic effects of the molecular binding…

原子物理 · 物理学 2020-01-15 Jamie L. MacLennan , Yun-Jhih Chen , Georg Raithel

Resonant vibrational-excitation cross sections and rate constants for electron scattering by molecular oxygen are presented. Transitions between all 42 vibrational levels of O$_2(\textrm{X}\ ^3\Sigma_g^- $) are considered. Molecular…

等离子体物理 · 物理学 2016-04-21 V Laporta , R Celiberto , J Tennyson

In this study, we present a quantum-statistical analysis of H$_2$ and LiH diatomic molecules within the Frost--Musulin potential framework. By combining the analytical bound-state approach to the radial Schr\"odinger problem with the…

We investigate the dynamics of a rotating Morse wave packet, appropriate for a ro-vibrating diatomic molecule. The coupling between vibrational and rotational degrees of freedom is explicated in real position space as well as in phase space…

量子物理 · 物理学 2009-07-20 Utpal Roy , Suranjana Ghosh

We compute the radiative ro-vibrational emission spectrum of H2 involving quasibound states via a simple numerical method of resolution of the Schr\"odinger equation by introducing a modifed effective molecular potential. The comparison of…

星系天体物理 · 物理学 2022-09-29 E. M. Roueff , H. Abgrall

We introduce a general approach for the simulation of quantum vibrational states of (symmetric and asymmetric) double-well potentials in molecules and materials for thermodynamic and spectroscopic applications. The method involves solving…

Resonant vibrational and rotation-vibration excitation cross sections for electron-CO scattering are calculated in the 0-10 eV energy range for all 81 vibrational states of CO, assuming that the excitation occur via the 2{\Pi} shape…

化学物理 · 物理学 2012-08-14 V. Laporta , C. M. Cassidy , J. Tennyson , R. Celiberto

Exact solutions for vibrational levels of diatomic molecules via the Morse potential are obtained by means of the asymptotic iteration method. It is shown that, the numerical results for the energy eigenvalues of $^{7}Li_{2}$ are all in…

量子物理 · 物理学 2009-11-13 T. Barakat , K. Abodayeh

Using the effective rotational Hamiltonian method, we have conducted an analysis of the D218O ground and the first excited vibration state rotational energy levels. The analysis was based on the effective Hamiltonians represented in several…

化学物理 · 物理学 2021-01-18 I. A. Vasilenko , O. V. Naumenko , E. R. Polovtseva , A. D. Bykov

We present an accurate theoretical determination of rovibrational energy levels of the hydrogen molecule and its isotopologues in its electronic ground state. We consider all significant corrections to the Born-Oppenheimer approximation,…

We present arguments demonstrating that the application of the Nikiforov-Uvarov polynomial method to solve the Schr\"odinger equation with the Tietz-Hua potential is valid only when $e^{-b_{h}r_{e}}\leq c_{h}<1$ and $r_{0}<r<+\infty $. In…

量子物理 · 物理学 2017-10-24 A. Khodja , F. Benamira , L. Guechi

The analytic Born-Oppenheimer (B-O) potential curve for the ground state $X^1\Sigma^+$ of the molecule (H,D,T)Cl is constructed for the whole range of internuclear distances $R \in [0,\infty)$ with an accuracy of 3-5 figures in comparison…

化学物理 · 物理学 2023-08-15 Horacio Olivares-Pilón , Alexander V. Turbiner

Accurate absolute level energies of the $B\,^1\Sigma^{+}_{u}$, $v=0-8, N$ and $EF\,^{1}\Sigma^{+}_{g}$, $v=0-21, N$ rovibrational quantum states of molecular deuterium are derived by combining results from a Doppler-free two-photon laser…

原子物理 · 物理学 2014-10-10 E. J. Salumbides , D. Bailly , M. Vervloet , W. Ubachs