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A novel Gaussian-Sinc mixed basis set for the calculation of the one-electron electronic structure within a uniform magnetic field in three dimensions is presented. The one-electron system is used to demonstrate the utility of this new…

Computational Physics · Physics 2014-11-12 Jonathan L. Jerke , Young Lee , C. J. Tymczak

We present a novel electric-field-resolved approach for probing ultrafast dynamics of localized surface plasmons in metallic nanoparticles. The electric field of the broadband carrier-envelope-phase stable few-cycle light pulse employed in…

The lowest bound states of the hydrogen negative ion and negative donor systems in a homogeneous magnetic field are investigated theoretically via a full configuration interaction approach with an anisotropic Gaussian basis set. The broad…

Atomic Physics · Physics 2007-05-23 Alexander Al-Hujaj , Peter Schmelcher

The semi-exponential basis set of radial functions (A.M. Frolov, Physics Letters A {\bf 374}, 2361 (2010)) is used for variational computations of bound states in three-electron atomic systems. It appears that semi-exponential basis set has…

High Energy Physics - Phenomenology · Physics 2011-03-21 Alexei M Frolov

Series expansions of isotropic Gaussian random fields on $\mathbb{S}^2$ with independent Gaussian coefficients and localized basis functions are constructed. Such representations with multilevel localised structure provide an alternative to…

Probability · Mathematics 2022-06-27 Markus Bachmayr , Ana Djurdjevac

A first-principles approach is introduced to calculate electron field emission characteristics of nanostructures, based on the nonequilibrium Green function technique combined with the density functional theory. The method employs…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Hyon-Chol Choe , Nam-Hyok Kim , Hyok Kim , Song-Jin Im

Localized optical field enhancement enables strong light-matter interactions necessary for efficient manipulation and sensing of light. Specifically, tunable broadband energy localization in nanoscale hotspots offers a wide range of…

Single-electron capacitance spectroscopy precisely measures the energies required to add individual electrons to a quantum dot. The spatial extent of electronic wavefunctions is probed by investigating the dependence of these energies on…

Mesoscale and Nanoscale Physics · Physics 2010-03-11 N. B. Zhitenev , M. Brodsky , R. C. Ashoori , L. N. Pfeiffer , K. W. West

A multi-band effective-mass Hamiltonian is derived for lattice-matched semiconductor nanostructures in a slowly varying external magnetic field. The theory is derived from the first-principles magnetic-field coupling Hamiltonian of Pickard…

Materials Science · Physics 2007-05-23 Bradley A. Foreman

The energy spectrum of an electron confined to an arbitrary surface of revolution in an external magnetic field, parallel to the symmetry axis, is studied analitycally and numerically. The problem is reduced via conformal mapping to one on…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 P. Malits , A. Kaplunovsky , I. D. Vagner , P. Wyder

We present a theoretical study of the wave packet dynamics of the H$_2^+$ molecular ion in plasmon-enhanced laser fields. Such fields may be produced, for instance, when metallic nano-structures are illuminated by a laser pulse of moderated…

Atomic Physics · Physics 2016-07-08 I. Yavuz , M. F. Ciappina , A. Chacón , Z. Altun , M. Lewenstein

We have measured the spatial and spectral dependence of the microwave field inside an open absorbing waveguide filled with randomly juxtaposed dielectric slabs in the spectral region in which the average level spacing exceeds the typical…

Disordered Systems and Neural Networks · Physics 2009-11-11 Patrick Sebbah , Bing Hu , Jerome M. Klosner , Azriel Z. Genack

Mutually unbiased bases for quantum degrees of freedom are central to all theoretical investigations and practical exploitations of complementary properties. Much is known about mutually unbiased bases, but there are also a fair number of…

Quantum Physics · Physics 2019-03-04 Thomas Durt , Berthold-Georg Englert , Ingemar Bengtsson , Karol Życzkowski

In this work we present a new method of approximating the continuum wavefunctions with a discrete basis set. This method aims to be at least compatible with other well known methods of the electronic structure theory to describe processes…

Chemical Physics · Physics 2019-09-18 Mateusz S. Szczygieł , Michał Lesiuk , Robert Moszynski

Accurate band offsets are essential for predictive continuum modeling of nanostructures such as quantum wells and quantum dots formed in strained Si/Si1-xGex and Ge/Si1-xGex heterostructures. Experimental offset data for these systems…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Nathaniel M. Vegh , Pericles Philippopoulos , Raphaël J. Prentki , Wanting Zhang , Yu Zhu , Félix Beaudoin , Hong Guo

In classical mechanics, a particle cannot escape from an unbounded potential well. Naively, one would expect a similar result to hold in wave mechanics, since high barriers make tunneling difficult. However, this is not always the case and…

Optics · Physics 2025-04-10 Stefano Longhi

Partial electron localization in a finite-size superlattice placed in an electric field is considered. The role of electric field in forming of quasilocalized states is investigated. A quantitative criterion for the degree of partial…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 K. R. Vlasov , M. A. Pyataev , A. V. Shorokhov

We present a simple and general method for construction of localized orbitals to describe electronic structure of extended periodic metals and insulators as well as confined systems. Spatial decay of these orbitals is found to exhibit…

Materials Science · Physics 2007-05-23 Joydeep Bhattacharjee , Umesh V Waghmare

Networks of silicon nanowires possess intriguing electronic properties surpassing the predictions based on quantum confinement of individual nanowires. Employing large-scale atomistic pseudopotential computations, as yet unexplored branched…

Mesoscale and Nanoscale Physics · Physics 2013-11-18 Ümit Keleş , Bartosz Liedke , Karl-Heinz Heinig , Ceyhun Bulutay