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We propose a simple linear scaling expression in reciprocal space for evaluating the ion--electron potential of crystalline solids. The expression replaces the long-range ion--electron potential with an equivalent localized charge…

Materials Science · Physics 2016-12-21 Xuecheng Shao , Wenhui Mi , Qiang Xu , Yanchao Wang , Yanming Ma

We develop the concept of scattering matrix and we use it to perform stable numerical calculations of resonant tunneling of electrons through a multiple potential barrier in a semiconductor heterostructure. Electrons move in two external…

Quantum Physics · Physics 2023-07-19 J. Z. Kaminski , E. Saczuk

Important information about strong-field atomic or molecular ionization can be missed when using linearly polarized laser fields. The field strength at which an electron was ionized, or the time during a pulse of the ionization event are…

Atomic Physics · Physics 2013-01-31 Xu Wang , J. H. Eberly

We calculate the photo-ionization cross-section from the ground state of the helium atom, using the complex rotation method and diagonalization of sparse matrices. This produces directly the positions and widths of the doubly excited 1Po…

chao-dyn · Physics 2009-10-31 Benoit Gremaud , Dominique Delande

We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and…

Spectral Theory · Mathematics 2024-07-24 Bernard Helffer , Ayman Kachmar

This last Part IV is aimed at deriving relaxation rates (times) of an off-center Li+ impurity. We follow Christov's reaction rate method to define general rate equations in terms of the exact Mathieu eigenvalues, as well as of…

This work investigates the feasibility of electrical valley filtering for holes in transition metal dichalcogenides. We look specifically into the scheme that utilizes a potential barrier to produce valley-dependent tunneling rates, and…

Mesoscale and Nanoscale Physics · Physics 2020-05-12 Tzu-Chi Hsieh , Mei-Yin Chou , Yu-Shu Wu

Expression for the probability of the spontaneous emission of high-order harmonics when the emitter phases are synchronized and are obtained in the region where the multiphoton approximation is applicable to the description of the…

Atomic Physics · Physics 2017-09-12 K. V. Ivanyan

Quantum tunneling from a thin wire or a thin film through a static potential barrier in a zero magnetic field is studied. The wire or the film should satisfy a condition of transverse quantization of levels and be inhomogeneous. Depending…

Quantum Physics · Physics 2008-06-11 B. Ivlev

The degree of elliptical polarization of intense short laser pulses is shown to be related to the timing of strong-field non-sequential double ionization. Higher ellipticity is predicted to force the initiation of double ionization into a…

Atomic Physics · Physics 2010-08-20 Xu Wang , J. H. Eberly

A theoretical framework for studying strong-field ionization of aligned molecules is presented, and alignment-dependent ionization yields are computed for CO2. Our calculations are in unprecedented agreement with recent experiments. We find…

Atomic Physics · Physics 2009-06-17 M. Abu-samha , L. B. Madsen

Quantum tunneling across double potential barriers is studied. With the assumption that the real space is a continuum, it is rigorously proved that large barriers of arbitrary shapes can be penetrated by low-energy particles with a…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Yong Yang

Some results from a recent work of Reiss [Phys. Rev. Lett. 101, 043002 (2008); 101, 159901(E) (2008).] are generalized for the case of elliptical polarization of a laser field. We also discuss the tunneling limit of strong-field…

Atomic Physics · Physics 2008-11-11 J. H. Bauer

Joint electron-ion energy spectra for the dissociative ionization of a model H$_2^+$ in few-cycle, infrared laser pulses are calculated via the numerical ab initio solution of the time-dependent Schr\"odinger equation. A strong,…

Atomic Physics · Physics 2017-11-21 V. Mosert , D. Bauer

We calculate the two-photon ionization of clusters for photon energies near the surface plasmon resonance. The results are expressed in terms of the ionization rate of a double plasmon excitation, which is calculated perturbatively. For the…

Atomic and Molecular Clusters · Physics 2009-10-31 G. F. Bertsch , N. Van Giai , N. Vinh Mau

Spatial localization of the electrons of an atom or molecule is studied in models of non-relativistic matter coupled to quantized radiation. We give two definitions of the ionization threshold. One in terms of spectral data of cluster…

Mathematical Physics · Physics 2007-05-23 Marcel Griesemer

The theory of collisional depolarization of spectral lines by atomic hydrogen (Derouich et al. \cite{derouich1}) is extended to $d$ $(l$=2) atomic levels. Depolarization rates, polarization and population transfer rates are calculated and…

Astrophysics · Physics 2009-11-07 M. Derouich , S. Sahal-Brechot , P. S. Barklem

We report computations of the vertical ionization potentials within the $GW$ approximation of the near-complete series of first-row transition metal (V-Cu) aqua ions in their most common oxidation states, i.e. V$^{3+}$, Cr$^{3+}$,…

Chemical Physics · Physics 2023-12-18 Daniel Mejia-Rodriguez , Alexander A. Kunitsa , Edoardo Aprà , Niranjan Govind

Polarization effects are included exactly in a model for a quantum dot in close proximity to a planar interface. Efficient incorporation of this potential into the Schr\"{o}dinger equation is utilized to map out the influence of the image…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Kuljit S. Virk , David R. Reichman , Mark S. Hybertsen

We discuss the photon emission that occurs due to the radiative recombination of an electron on a nearby center after tunneling ionization. The model of an active electron is used, and analytical solution to three-dimensional problem is…

Mesoscale and Nanoscale Physics · Physics 2013-10-18 P. A. Golovinski , A. A. Drobyshev