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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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serija: | Lecture notes in physics
348 |
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| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| 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 |
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| 001 | 969407 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155173014 | ||
| 020 | |a 9783540468592 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 530 | ||
| 100 | 1 | |a Böhm, Arno, |d 1936- | |
| 245 | 1 | 0 | |a Dirac kets, Gamow vectors and Gel'fand triplets : |b the rigged Hilbert space formulation of quantum mechanics : lectures in mathematical physics at the University of Texas at Austin |c A. Bohm, M. Gadella ; edited by A. Bohm and J.D. Dollard. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in physics |v 348 |x 1616-6361 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 and how one can make use of them to make the Dirac heuristic approach rigorous. The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Next, the RHS model for decaying states based on the concept of Gamow vectors is presented. Applications are given to physical theories of such phenomena as decaying states and resonances. | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Hilbert, Espaces de | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Champs, Théorie quantique des | ||
| 650 | |a Physique | ||
| 650 | |a Physique mathématique | ||
| 700 | 1 | |a Gadella, Manuel, |d 1949- |4 aut | |
| 700 | 1 | |a Dollard, John D. |4 pbd | |
| 776 | 0 | |0 021318174 |t Dirac Kets, Gamow Vectors, and Gel'fand triplets |o the rigged Hilbert space formulation of quantum mechanics |o lectures in mathematical physics at the University of Texas at Austin |f A. Bohm, M. Gadella |c Berlin |n Springer-Verlag |d 1989 |p 1 vol. (VI-119 p.) |s Lecture notes in physics |z 0-387-51916-5 | |
| 776 | 0 | |t Dirac Kets, Gamow Vectors and Gel fand Triplets |b Texte imprimé |z 9783662137505 | |
| 776 | 0 | |t Dirac Kets, Gamow Vectors and Gel fand Triplets |b Texte imprimé |z 9783662137512 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-GBTSZPMD-9 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750674423 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/3-540-51916-5 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754022919 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/3-540-51916-5 |z Accès INSA CVL | |
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