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We report on the observation of two vibrational series of pure trilobite rubidium Rydberg molecules. They are created via three-photon photoassociation and lie energetically more than 15 GHz below the atomic 22$F$ state of rubidium. In…

原子物理 · 物理学 2023-07-06 Max Althön , Markus Exner , Richard Blättner , Herwig Ott

Current situation in studies of lifetimes of excited rovibronic levels for the H2, D2, T2, HD, HT, and DT molecules is analyzed. All measured values of the lifetimes (792 data for 618 different vibro-rotational levels of 33 electronic…

化学物理 · 物理学 2014-12-11 S. A. Astashkevich , B. P. Lavrov

We present modified $\ell$-states of diatomic molecules by solving the radial and angle-dependent parts of the Schr\"odinger equation for central potentials, such as Morse and Kratzer, plus an exactly solvable angle-dependent potential…

量子物理 · 物理学 2009-10-19 Cuneyt Berkdemir , Ramazan Sever

We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr-Davydov-Faessler-Greiner for collective rotation-vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small…

核理论 · 物理学 2015-10-29 Parviz Gulshani

The analytical solution of the Schr\"odinger equation with exponential coshine screened and Morse potential are presented. The energy eigenvalues and the corresponding wave function are obtained for several values of screening parameters.…

数学物理 · 物理学 2011-10-18 Akpan Ndem Ikot , Oladunjoje Aina Awoga , Benedict Iserom Ita

The limit relations for the partial derivatives of the two-electron atomic wave functions at the two-particle coalescence lines have been obtained numerically using accurate CFHHM wave functions. The asymptotic solutions of the proper…

原子物理 · 物理学 2009-11-11 E. Z. Liverts , M. Ya. Amusia , R. Krivec , V. B. Mandelzweig

The approximate analytical solutions of the Dirac equations with the reflectionless-type and Rosen-Morse potentials including the spin-orbit centrifugal (pseudo-centrifugal) term are obtained. Under the conditions of spin and pseudospin…

量子物理 · 物理学 2012-05-17 Sameer M. Ikhdair , Ramazan Sever

The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum $l$. The exact bound-state energy eigenvalues and the corresponding eigen functions are analytically…

量子物理 · 物理学 2007-05-23 Sameer M. Ikhdair , Ramazan Sever

We demonstrate a new spectroscopic method for studying electronic transitions in molecules with extremely broad range of angular momentum. We employ an optical centrifuge to create narrow rotational wave packets in the ground electronic…

化学物理 · 物理学 2017-09-13 Aleksey Korobenko , Alexander A. Milner , John W. Hepburn , Valery Milner

The hydrogen molecule has become a test ground for quantum electrodynamical calculations in molecules. Expanding beyond studies on stable hydrogenic species to the heavier radioactive tritium-bearing molecules, we report on a measurement of…

化学物理 · 物理学 2018-04-25 T. Madhu Trivikram , M. Schlösser , W. Ubachs , E. J. Salumbides

We study discrete spectral quantities associated to Schr\"odinger operators of the form $-\Delta_{\mathbb{R}^d}+V_N$, $d$ odd. The potential $V_N$ models a highly disordered crystal; it varies randomly at scale $N^{-1} \ll 1$. We use…

偏微分方程分析 · 数学 2018-11-14 Alexis Drouot

A procedure for calculation of rotation-vibration states of medium sized molecules is presented. It combines the advantages of variational calculations and perturbation theory. The vibrational problem is solved by diagonalizing a…

化学物理 · 物理学 2015-04-13 A. I. Pavlyuchko , S. N. Yurchenko , Jonathan Tennyson

We present a theoretical study of the mixed-field-orientation of asymmetric top molecules in tilted static electric field and non-resonant linearly polarized laser pulse by solving the time-dependent Schr\"odinger equation. Within this…

化学物理 · 物理学 2016-12-21 Juan J. Omiste , Rosario González-Férez

First results are presented obtained with an experimental setup developed to record IR spectra of rotationally state-selected ions. The method we use is a state-selective version of a method developed by S. Schlemmer, D. Gerlich and…

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}…

An improved form of the Tietz potential for diatomic molecules is \ discussed in detail within the path integral formalism. The radial Green's function is rigorously constructed in a closed form for different shapes of this potential. For…

量子物理 · 物理学 2019-11-28 A. Khodja , F. Benamira , L. Guechi

We report a comprehensive theoretical analysis of the instability achievable by using phase modulation spectroscopy to lock a terahertz local oscillator to an absorptive reference consisting of the rotational transition of molecules at room…

原子物理 · 物理学 2025-02-20 W. F. McGrew , James Greenberg , Keisuke Nose , Brendan M. Heffernan , Antoine Rolland

A large class of multidimensional nonlinear Schroedinger equations admit localized nonradial standing wave solutions that carry nonzero intrinsic angular momentum. Here we provide evidence that certain of these spinning excitations are…

斑图形成与孤子 · 物理学 2007-05-23 Robert L. Pego , Henry A. Warchall

The trigonometric P\"oschl-Teller (PT) potential describes the diatomic molecular vibration. By using the Nikiforov-Uvarov (NU) method, we have obtained the exact analytical s-wave solutions of the radial Schr\"odinger equation (SE) for the…

量子物理 · 物理学 2012-10-23 M. Hamzavi , A. A. Rajabi

We study a general problem of the translational/rotational/vibrational/electronic dynamics of a diatomic molecule exposed to an interaction with an arbitrary external electromagnetic field. The theory developed in this paper is relevant to…

量子物理 · 物理学 2016-09-28 Milan Sindelka , Nimrod Moiseyev