A mathematical introduction to Dirac's formalism [E-Book] / S.J.L. van Eijndhoven, J. de Graaf.
Eijndhoven, S. J. L. van
Graaf, J. de
Amsterdam ; New York : New York, N.Y. : North-Holland ; 1986
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (xv, 430 p.)
North-Holland mathematical library ; vol. 36
Full Text
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.