Dirac kets, Gamow vectors and Gel'fand triplets : the rigged Hilbert space formulation of quantum mechanics : lectures in mathematical physics at the University of Texas at Austin

Dirac's formalism of quantum mechanics was always praised for its elegance. This book introduces the student to its mathematical foundations and demonstrates its ease of applicability to problems in quantum physics. The book starts by describing in detail the concept of Gel'fand triplets a...

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Dades bibliogràfiques
Autors principals: Böhm, Arno, 1936-, Gadella, Manuel, 1949- (Autor)
Altres autors: Dollard, John D. (Director editorial)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in physics 348
Matèries:
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Dirac Kets, Gamow Vectors, and Gel'fand triplets, the rigged Hilbert space formulation of quantum mechanics, lectures in mathematical physics at the University of Texas at Austin, A. Bohm, M. Gadella, Berlin, Springer-Verlag, 1989, 1 vol. (VI-119 p.), Lecture notes in physics, 0-387-51916-5
• Dirac Kets, Gamow Vectors and Gel fand Triplets, Texte imprimé, 9783662137505
• Dirac Kets, Gamow Vectors and Gel fand Triplets, Texte imprimé, 9783662137512
Taula de continguts:
  • I. The algebraic structure of the space of states
  • II. The topological structure of the space of states
  • III. The conjugate space of ?
  • IV. Generalized eigenvectors and the nuclear spectral theorem
  • V. A remark concerning generalization
  • References on chapter I
  • II. The Moller wave operators
  • III. The Hardy class functions on a half plane
  • References for chapter II
  • I. Rigged Hilbert spaces of Hardy class functions
  • II. The spaces ?+ and ??
  • III. Functional for Ho and Hl
  • References for chapter III
  • I. The RHS model for decaying states
  • II. Dynamical semigroups
  • III. Virtual states
  • References for chapter IV.