000 03791nam a22005535i 4500
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
024 7 _a10.1007/3-540-51916-5
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
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.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
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