Quantum theory of resonances: calculating energies, widths and cross-sections by complex scaling

N Moiseyev - Physics reports, 1998 - Elsevier
Complex scaling enables one to associate the resonance phenomenon, as it appears in
atomic, molecular, nuclear physics and in chemical reactions, with a single square …

The Thomas-Fermi theory of atoms, molecules and solids

EH Lieb, B Simon - Advances in mathematics, 1977 - Elsevier
Abstract We place the Thomas-Fermi model of the quantum theory of atoms, molecules, and
solids on a firm mathematical footing. Our results include:(1) A proof of existence and …

[BOOK][B] Schrödinger operators: With application to quantum mechanics and global geometry

HL Cycon, RG Froese, W Kirsch, B Simon - 2009 - books.google.com
A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …

Real-space grids and the Octopus code as tools for the development of new simulation approaches for electronic systems

X Andrade, D Strubbe, U De Giovannini… - Physical Chemistry …, 2015 - pubs.rsc.org
Real-space grids are a powerful alternative for the simulation of electronic systems. One of
the main advantages of the approach is the flexibility and simplicity of working directly in real …

[BOOK][B] Introduction to spectral theory: With applications to Schrödinger operators

PD Hislop, IM Sigal - 2012 - books.google.com
The intention of this book is to introduce students to active areas of research in mathematical
physics in a rather direct way minimizing the use of abstract mathematics. The main features …

[PDF][PDF] Complex coordinates in the theory of atomic and molecular structure and dynamics

WP Reinhardt - Annual Review of Physical Chemistry, 1982 - academia.edu
During the past ten years there has been rapid development and application of a theory
variously known as complex scaling, complex coordinates, coordinate-rotation, and …

Calculation of resonance energies and widths using the complex absorbing potential method

UV Riss, HD Meyer - Journal of Physics B: Atomic, Molecular and …, 1993 - iopscience.iop.org
The spectral properties of Hamilton operators perturbed by a complex absorbing potential
(CAP) are studied. For a wide class of CAPS proper eigenvalues of the perturbed Hamilton …

Harmonic inversion of time signals and its applications

VA Mandelshtam, HS Taylor - The Journal of chemical physics, 1997 - pubs.aip.org
New methods of high resolution spectral analysis of short time signals are presented. These
methods utilize the filter-diagonalization approach of Wall and Neuhauser [J. Chem. Phys …

The definition of molecular resonance curves by the method of exterior complex scaling

B Simon - Physics Letters A, 1979 - Elsevier
THE DEFINITION OF MOLECULAR RESONANCE CURVES BY THE METHOD OF EXTERIOR
COMPLEX SCALING ~ Barry SIMON The method ofcomplex scalin Page 1 Volume 71A …

[PDF][PDF] Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators

JM Combes, L Thomas - 1973 - projecteuclid.org
O'Connor's approach to spatial exponential decay of eigenfunctions for multiparticle
Schrodinger Hamiltonians is developed from the point of view of analytic perturbations with …