The Language of Hilbert Space

  • Stephen Bruce SontzEmail author


The basic mathematical language of quantum physics is the theory of Hilbert spaces. The basic facts are presented without giving proofs. The first three sections form a mini-course of some 14 pages and can be read as need arises in order to understand concepts and notation. The next four sections are explicitly optional. This chapter overlaps the material in many fine functional analysis texts, such as [34], where proofs can be found.

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Matemáticas BásicasCentro de Investigación en Matemáticas, A.C.GuanajuatoMexico

Personalised recommendations