S-Bases in S-Linear Algebra
Functional Analysis
2011-04-19 v1 Quantum Physics
Abstract
In this paper we define the S-bases for the spaces of tempered distributions. These new bases are the analogous of Hilbert bases of separable Hilbert spaces for the continuous case (they are indexed by m-dimensional Euclidean spaces) and enjoy properties similar to those shown by algebraic bases in the finite dimensional case. The S-bases are one possible rigorous and extremely manageable mathematical model for the "physical" bases used in Quantum Mechanics.
Keywords
Cite
@article{arxiv.1104.3324,
title = {S-Bases in S-Linear Algebra},
author = {David Carfí},
journal= {arXiv preprint arXiv:1104.3324},
year = {2011}
}