Intermediate spectral theory and quantum dynamics
The spectral theory of linear operators in Hilbert spaces is the most important tool in the mathematical formulation of quantum mechanics; in fact, linear ope- tors and quantum mechanics have had a symbiotic relationship. However, typical physicstextbooks on quantum mechanics givejust a roughsketch...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2009. |
| Sarja: | Progress in Mathematical Physics
54 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Intermediate spectral theory and quantum dynamics, César R. de Oliveira, Basel, Birkhäuser, 2009, 1 vol. (XIII-410 p.), Progress in Mathematical Physics, 978-3-7643-8794-5 • Intermediate Spectral Theory and Quantum Dynamics, Texte imprimé, 9783764398392 |
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|---|---|---|---|
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| 008 | 090420q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN132869063 | ||
| 020 | |a 9783764387952 | ||
| 041 | 0 | |a eng | |
| 082 | |a 530.12 | ||
| 084 | |a 00-01. 2000 | ||
| 084 | |a 81Q10. 2000 | ||
| 084 | |a 47A05. 2000 | ||
| 100 | 1 | |a Oliveira, César R. de, |d 1941- | |
| 245 | 1 | 0 | |a Intermediate spectral theory and quantum dynamics |c César R. de Oliveira. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Progress in Mathematical Physics |v 54 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliographie. Index | ||
| 505 | 0 | |a A Glance at Quantum Mechanics -- Linear Operators and Spectra -- Adjoint Operator -- Fourier Transform and Free Hamiltonian -- Operators via Sesquilinear Forms -- Unitary Evolution Groups -- Kato-Rellich Theorem -- Boundary Triples and Self-Adjointness -- Spectral Theorem -- Applications of the Spectral Theorem -- Convergence of Self-Adjoint Operators -- Spectral Decomposition I -- Spectral Decomposition II -- Spectrum and Quantum Dynamics -- Some Quantum Relations | |
| 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 The spectral theory of linear operators in Hilbert spaces is the most important tool in the mathematical formulation of quantum mechanics; in fact, linear ope- tors and quantum mechanics have had a symbiotic relationship. However, typical physicstextbooks on quantum mechanics givejust a roughsketch of operator t- ory,occasionallytreating linear operatorsas matricesin ?nite-dimensional spaces; the implicit justi?cation is that the details of the theory of unbounded operators are involved and those texts are most interested in applications. Further, it is also assumed that mathematical intricacies do not show up in the models to be d- cussedorareskippedby heuristicarguments. Inmanyoccasionssomequestions, such as the very de?nition of the hamiltonian domain, are not touched, leaving an open door for controversies, ambiguities and choices guided by personal tastes and ad hoc prescriptions. All in all, sometimes a blank is left in the mathematical background of people interested in nonrelativistic quantum mechanics. Quantum mechanics was the most profound revolution in physics; it is not natural to our common sense (check, for instance, the wave-particle duality) and the mathematics may become crucial when intuition fails. Even some very simple systemspresentnontrivialquestionswhoseanswersneedamathematicalapproach. For example, the Hamiltonian of a quantum particle con?ned to a box involves a choice of boundary conditions at the box ends; since di?erent choices imply di?erentphysicalmodels,studentsshouldbeawareofthebasicdi?cultiesintrinsic tothis(inprinciple)verysimple model,aswellasinmoresophisticatedsituations. The theory of linear operators and their spectra constitute a wide ?eld and it is expected that the selection of topics in this book will help to ?ll this theoretical gap. Ofcoursethisselectionisgreatlybiasedtowardthepreferencesofthe author | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Hilbert, Espaces de | ||
| 650 | |a Opérateurs linéaires | ||
| 650 | |a Théorie quantique | ||
| 776 | 0 | |0 130256706 |t Intermediate spectral theory and quantum dynamics |f César R. de Oliveira |c Basel |n Birkhäuser |d 2009 |p 1 vol. (XIII-410 p.) |s Progress in Mathematical Physics |z 978-3-7643-8794-5 | |
| 776 | 0 | |t Intermediate Spectral Theory and Quantum Dynamics |b Texte imprimé |z 9783764398392 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-8795-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LH5WLTG0-7 |z Accès sur la plateforme Istex | |
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| 997 | |0 941231 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||