An Introduction to SBases in SLinear Algebra
An Introduction to SBases in SLinear Algebra
Author(s): David CARFISubject(s): Economy, Financial Markets
Published by: ASERS Publishing
Keywords: Quantum mechanics; Schwartz linear algebra; Position Bases; Momentum Bases;
Summary/Abstract: In this lecture note we define the SBases for the spaces of tempered distributions. These new bases are the analogous of Hilbert bases of separable Hilbert spacesfor 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 Sbases are one possible rigorous and extremely manageable mathematical model for the ”physical” bases used in Quantum Mechanics.
Journal: Journal of Mathematical Economics and Finance
- Issue Year: V/2019
- Issue No: 2(9)
- Page Range: 35-49
- Page Count: 15
- Language: English
- Content File-PDF
