Lattice discretization in quantum scattering
نویسندگان
چکیده
منابع مشابه
Lattice Discretization in Quantum Scattering
The utility of lattice discretization technique is demonstrated for solving nonrelativistic quantum scattering problems and specially for the treatment of ultraviolet divergences in these problems with some potentials singular at the origin in two and three space dimensions. This shows that lattice discretization technique could be a useful tool for the numerical soiution of scattering problems...
متن کاملLattice-Plasmon Quantum Features
in this work, some of the lattice plasmon quantum features are examined. Initially, the interaction of the far-field photonic mode and the nanoparticle plasmon mode is investigated. We probe the optical properties of the array plasmon that are dramatically affected by the array geometry. It is notable to mention that the original goal of this work is to examine the quantum feature of the array ...
متن کاملUmbral Calculus, Discretization, and Quantum Mechanics on a Lattice
Umbral calculus’ deals with representations of the canonical commutation relations. We present a short exposition of it and discuss how this calculus can be used to discretize continuum models and to construct representations of Lie algebras on a lattice. Related ideas appeared in recent publications and we show that the examples treated there are special cases of umbral calculus. This observat...
متن کاملScattering and Bound States in Euclidean Lattice Quantum Field Theories
In this paper we study the property of asymptotic completeness in (massive) Euclidean lattice quantum field theories. We use the methods of Spencer and Zirilli [2] to prove, under suitable hypothesis, two-body asymptotic completeness, i.e., for the energy range just above the two-particle threshold.
متن کاملReducing Discretization Errors in Lattice Qcd Spectroscopy
The improved Wilson quark action – the clover action – is constructed to have smaller discretization errors than the normal Wilson quark action. We test this in a quenched spectroscopy computation on 6 lattice ensembles with spacings from 0.15 to 0.43 fm. To ensure that the dominant scaling violations come from the fermions we use an O(a) improved 6-link SU(3) pure gauge action. We find evidenc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1996
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/29/22/015