A5045058692- Atomic and Molecular Physics
- Ion-surface interactions and analysis
- Advanced Chemical Physics Studies
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Cold Atom Physics and Bose-Einstein Condensates
- Differential Equations and Boundary Problems
- Nuclear physics research studies
- nanoparticles nucleation surface interactions
- Quantum chaos and dynamical systems
- Particle physics theoretical and experimental studies
- Quantum Chromodynamics and Particle Interactions
- Iterative Methods for Nonlinear Equations
- Quantum, superfluid, helium dynamics
- Numerical methods in inverse problems
- Molecular Spectroscopy and Structure
- Spectroscopy and Quantum Chemical Studies
- Astro and Planetary Science
- Nuclear Physics and Applications
- Electromagnetic Scattering and Analysis
- Heat Transfer and Mathematical Modeling
- High-Energy Particle Collisions Research
- Nonlinear Waves and Solitons
- Spacecraft Dynamics and Control
- Photochemistry and Electron Transfer Studies
Joint Institute for Nuclear Research
2015-2024
Tver State University
2005
Dubna State University
1977-2003
Institute for Nuclear Research
1987-2002
Université Libre de Bruxelles
1999
Weizmann Institute of Science
1992
We develop two variational wave functions of helium which give accurate energy values and satisfy Kato's cusp conditions adapted to the procedure. These are utilized in calculations for reproducing electron-helium double-ionization experimental data involving both small large momentum transfer. A comparison present numerical results differential cross sections with experiment indicates a minor role conditions.
We formulate exact integral boundary conditions for a solution of the time-dependent Schr\"odinger equation that describes an atom interacting, in dipole approximation, with laser pulse. These are imposed on surface (boundary) which is usually chosen at finite (but sufficiently remote) distance from where motion electrons can be assumed to semiclassical. For numerical integration equation, these may used replace mask functions and diffuse absorbing potentials applied edge grid. latter...
The multiply differential cross section of the dissociative ionization ${\mathrm{H}}_{2}^{+}$ by fast (2 keV) electron impact is determined theoretically using a two-center continuum wave function constructed exact solutions separable Schr\"odinger equation in prolate spheroidal coordinates for slow (50 eV) ejected electron. comparison results to those obtained approximate approaches, like an effective center Coulomb or Pluvinage-type packet evolution approach, shows limits these methods....
The fully differential cross section (FDCS) of the double ionization hydrogen molecule by electron impact, with coincidence detection two ejected and scattered electrons, is determined application a product modified two-centre Coulomb continuum (MTCC) wavefunctions describing electrons. MTCC, which fulfils correct boundary conditions asymptotically up to order O((kr)−2), obtained in closed analytical form solving Schrödinger equation an wave vector k position r field fixed nuclei. After...
An uncoupled correlated variational method for the calculation of helium isoelectronic bound states is proposed. New projective coordinates s = r1 + r2, v (r12) / (r1 r2), w (r1-r2) are introduced instead conventional ones t r1-r2, u r12. All matrix elements total Hamiltonian and weight function expressed as simple products three one-dimensional integrals. The basis formed by a set Laguerre polynomials with single nonlinear parameter two sets Jacobi s,v,w, respectively. It provides...
The hyperspherical adiabatic (HSA) representation is introduced in barycentric coordinates for helium-like systems which isotopic and correlation effects are taken into account exactly. Different methods of forming the HSA basis considered. general classification states suggested, examples diagrams presented. complete doubly excited two-electron given. schemes compared. convergence expansion investigated numerically. ground-state energy value negative hydrogen ion H- calculated six-channel...
Doubly excited states (DES) of heliumlike systems are studied within the coupled-channel hyperspherical adiabatic approach. The results multichannel calculations $^{1}$${\mathit{S}}^{\mathit{e}}$ and $^{1}$${\mathit{P}}^{\mathit{o}}$ DES ${\mathrm{H}}^{\mathrm{\ensuremath{-}}}$ He converging to second (n=2) threshold presented compared with those found in literature.
The convergence of the hyperspherical adiabatic expansion for helium-like systems has been studied numerically. spectral problems arising after approximate separation variables are solved by finite-difference and finite-element methods. energies ground some doubly excited states negative hydrogen ion calculated in six-channel approximation within 10-4 au accuracy. results obtained demonstrate a rapid agree reasonably well with experimental data as other more complicated theoretical calculations.