A Mathematical Introduction to Dirac's Formalism
( Volume 36 )
Publication series ：Volume 36
Author： Eijndhoven S. J. L. van;Graaf J. de
Publisher： Elsevier Science
Publication year： 1986
E-ISBN: 9780080880211
P-ISBN(Paperback): 9780444701275
P-ISBN(Hardback): 9780444701275
Subject： O413 quantum theory
Language： ENG
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Description
This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized functions, integrating the notions of the first part.
The last part of the book is devoted to a mathematical interpretation of the main features of Dirac's formalism. It involves a pairing between distributional bras and kets, continuum expansions and continuum matrices.
Chapter