Study On the Application And Principles of Functional Analysis

Authors

Jagtap Gaytri Sadashiv

Abstract

Functional analysis is a branch of mathematics that focuses on the study of vector spaces and functions that exist within those spaces. The primary objective of this field is to get a knowledge of the characteristics and way these functions behave. Applications of this topic may be found in a broad variety of fields, including mathematics, physics, engineering, and computer science. The purpose of this abstract is to investigate the many applications of functional analysis in a variety of fields, focusing on the role that it plays in resolving issues that occur in the real world and improving scientific knowledge. When it comes to quantum physics, where systems often display behaviour that is infinite-dimensional, functional analysis is a very important technique since it gives strong tools for investigating spaces that have an unlimited number of dimensions. In the field of quantum mechanics, the theory of operators and Hilbert spaces plays an essential part, since it makes it easier to formulate and analyse quantum states and observables.

Keywords

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Study On the Application And Principles of Functional Analysis. Jagtap Gaytri Sadashiv. 2023. IJIRCT, Volume 9, Issue 4. Pages 1-5. https://www.ijirct.org/viewPaper.php?paperId=2404068