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Based on the geometrical approach to tunnelling by P.D. Hislop and I.M. Sigal [Memoir. AMS 78, No. 399 (1989)], we introduce the concept of a leading tunnelling trajectory. It is then proven that leading tunnelling trajectories for…

Atomic Physics · Physics 2015-03-17 Denys I. Bondar , Wing-Ki Liu

For a non-superconducting system, the electronic tunneling current through an insulating barrier is calculated, including interaction effects. The exact Hamiltonian of the full system is projected onto the subspaces of the "left" and…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 Kelly R. Patton

Multiple ionisation and electron capture are found to be vital mechanisms for K and L x-ray emissions along with the direct coulomb ionisation in heavy ion-atom collisions. Naturally, these two mechanisms may also be significant for M x-ray…

Atomic Physics · Physics 2024-07-04 Soumya Chatterjee , Sumana Ghosh , D. Mitra

A classical description of electron emission differential ionization cross sections for highly-charged high-velocity ions ($\sim$ 10 a.u.) impinging on water molecules is presented. We investigate the validity of the classical statistical…

Atomic Physics · Physics 2020-01-22 Alba Jorge , Marko Horbatsch , Clara Illescas , Tom Kirchner

Recent attoclock experiments and theoretical studies regarding the strong-field ionization of atoms by few-cycle infrared pulses revealed new features that have attracted much attention. Here we investigate tunneling ionization and the…

Atomic Physics · Physics 2018-01-17 Nicolas Douguet , Klaus Bartschat

Quasi-static models of barrier suppression have played a major role in our understanding of the ionization of atoms and molecules in strong laser fields. Despite their success, in the case of diatomic molecules these studies have so far…

Atomic Physics · Physics 2009-11-10 T. Bartsch , T. Uzer

We present a semiclassical two-step model for strong-field ionization that accounts for path interferences of tunnel-ionized electrons in the ionic potential beyond perturbation theory. Within the framework of a classical trajectory…

For electrons tunneling between parallel two-dimensional electron systems, conservation of in-plane momentum produces sharply resonant current-voltage characteristics and provides a uniquely sensitive probe of the underlying electronic…

Condensed Matter · Physics 2009-10-28 S. Q. Murphy , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We present a theoretical approach to investigate the scattering of polarized electrons from light nuclei using the multipole expansion for the scattering cross section within the framework of the unified electroweak theory. Scattering…

Nuclear Theory · Physics 2026-05-01 Minh Truong Vo , Vu Dong Tran , Quang Hung Nguyen

We compare standard perturbation theory with the polaron transformation for non-linear transport of electrons through a two-level system. For weak electron-phonon coupling and large bias, there is good agreement between both approaches.…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Brandes , T. Vorrath

We have applied the Numerical Renormalization Group method to study a mesoscopic system consisting of two samples of metal separated by an insulating barrier, with nanometer dimensions, which allows the tunnelling of a single electron from…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. O. Frota

We re-examine the self-phoresis of a particle that releases(removes) pairs of ions into(from) the electrolyte solution. We show analytically that in the linear regime the mathematical description of this system maps onto that of the…

Soft Condensed Matter · Physics 2026-01-06 Alvaro Domínguez , Mihail N. Popescu

The angular distribution of the emitted electrons, following the two-photon ionization of the hydrogen-like ions, is studied within the framework of second order perturbation theory and the Dirac equation. Using a density matrix approach,…

Atomic Physics · Physics 2007-05-23 Peter Koval , Stephan Fritzsche , Andrey Surzhykov

We study theoretically electromagnetic radiation emitted by inelastic Cooper-pair tunneling. We consider a dc-voltage-biased superconducting transmission line terminated by a Josephson junction. We show that the generated continuous-mode…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Juha Leppäkangas , Mikael Fogelström , Michael Marthaler , Göran Johansson

Field electron emission (FE) and electrostatic field ionization (ESFI) are quantum-mechanical tunnelling processes that provide basic theory for important technologies. However, the basic theories of FE and ESF1 are not yet completely…

Quantum Physics · Physics 2025-12-01 Richard G. Forbes

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a…

High Energy Physics - Phenomenology · Physics 2016-08-25 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

Massively parallel ionization of many atoms in a cluster or bio-molecule is identified as new phenomenon of light-matter interaction which becomes feasible through short and intense FEL pulses. Almost simultaneously emitted from the…

Atomic and Molecular Clusters · Physics 2012-04-25 Christian Gnodtke , Ulf Saalmann , Jan-Michael Rost

Strong electric fields can be used to align molecules. However, a non-polar molecule such as H$_2$ has no preference for its orientation. There are thus two equivalent configurations with equal energy separated by a potential-energy…

Chemical Physics · Physics 2025-12-02 J. Amira Geuther , Marit R. Fiechter , Jeremy O. Richardson

Polarization properties of the photons emitted in the two-photon decay of hydrogen-like ions are studied within the framework of the density matrix and second-order perturbation theory. In particular, we derive the polarization correlation…

Atomic Physics · Physics 2011-08-23 Filippo Fratini , Andrey Surzhykov

We present a study of multiphoton dissociative ionization from molecules. By solving the time-dependent Schr\"{o}dinger equation for H$_2^+$ and projecting the solution onto double continuum scattering states, we observe the correlated…

Atomic Physics · Physics 2012-07-03 C B Madsen , F Anis , L B Madsen , B D Esry
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