The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with infinite-dimensional distribution theory.
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doaj-540a217aee2746c7b5948d2ad6b5324e2020-11-24T23:10:43ZengMDPI AGMathematics2227-73902015-06-013252756210.3390/math3020527math3020527The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional AnalysisJeremy Becnel0Ambar Sengupta1Department of Mathematics, Stephen F. Austin State University, PO Box 13040 SFA Station, Nacogdoches, TX 75962, USADepartment of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USAAn account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with infinite-dimensional distribution theory.http://www.mdpi.com/2227-7390/3/2/527quantum mechanicsSchwartz spacetest functions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jeremy Becnel Ambar Sengupta |
spellingShingle |
Jeremy Becnel Ambar Sengupta The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis Mathematics quantum mechanics Schwartz space test functions |
author_facet |
Jeremy Becnel Ambar Sengupta |
author_sort |
Jeremy Becnel |
title |
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis |
title_short |
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis |
title_full |
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis |
title_fullStr |
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis |
title_full_unstemmed |
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis |
title_sort |
schwartz space: tools for quantum mechanics and infinite dimensional analysis |
publisher |
MDPI AG |
series |
Mathematics |
issn |
2227-7390 |
publishDate |
2015-06-01 |
description |
An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with infinite-dimensional distribution theory. |
topic |
quantum mechanics Schwartz space test functions |
url |
http://www.mdpi.com/2227-7390/3/2/527 |
work_keys_str_mv |
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1725605849156550656 |