000 | 03791nam a22005535i 4500 | ||
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001 | 978-3-540-46859-2 | ||
003 | DE-He213 | ||
005 | 20190213151435.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1989 gw | s |||| 0|eng d | ||
020 |
_a9783540468592 _9978-3-540-46859-2 |
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024 | 7 |
_a10.1007/3-540-51916-5 _2doi |
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050 | 4 | _aQC5.53 | |
072 | 7 |
_aPHU _2bicssc |
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072 | 7 |
_aSCI040000 _2bisacsh |
|
072 | 7 |
_aPHU _2thema |
|
082 | 0 | 4 |
_a530.15 _223 |
245 | 1 | 0 |
_aDirac Kets, Gamow Vectors and Gel'fand Triplets _h[electronic resource] : _bThe Rigged Hilbert Space Formulation of Quantum Mechanics Lectures in Mathematical Physics at the University of Texas at Austin / _cedited by A. Bohm, J. D. Dollard, M. Gadella. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1989. |
|
300 |
_aVIII, 120 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v348 |
|
505 | 0 | _aI. 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. | |
520 | _aDirac'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 | 0 | _aMathematical physics. | |
650 | 0 | _aQuantum theory. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aNumerical and Computational Physics, Simulation. _0http://scigraph.springernature.com/things/product-market-codes/P19021 |
650 | 2 | 4 |
_aElementary Particles, Quantum Field Theory. _0http://scigraph.springernature.com/things/product-market-codes/P23029 |
650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
700 | 1 |
_aBohm, A. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aDollard, J. D. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aGadella, M. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662137512 |
776 | 0 | 8 |
_iPrinted edition: _z9783662137505 |
776 | 0 | 8 |
_iPrinted edition: _z9783540519164 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v348 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-51916-5 |
912 | _aZDB-2-PHA | ||
912 | _aZDB-2-LNP | ||
912 | _aZDB-2-BAE | ||
999 |
_c10681 _d10681 |