000 03499cam a2200517Ia 4500
001 ocn233810203
003 OCoLC
005 20200625171155.0
006 m o d
007 cr unu||||||||
008 080713s1989 gw a ob 000 0 eng d
040 _aSPLNP
_beng
_epn
_cSPLNP
_dGW5XE
_dOCLCQ
_dGW5XE
_dOCLCF
_dOCLCQ
_dUAB
_dOCLCQ
_dCANPU
_dLEAUB
_dOCLCQ
020 _a9783540468592
_q(electronic bk.)
020 _a3540468595
_q(electronic bk.)
020 _z0387519165
020 _z9780387519166
029 1 _aAU@
_b000057633747
029 1 _aNZ1
_b15297550
035 _a(OCoLC)233810203
050 4 _aQC174.17.H55
_bB62 1989
082 0 4 _a530.1/2
_220
049 _aMAIN
100 1 _aBöhm, Arno,
_d1936-
_99903
245 1 0 _aDirac Kets, Gamow Vectors, and Gel'fand triplets :
_bthe rigged Hilbert space formulation of quantum mechanics : lectures in mathematical physics at the University of Texas at Austin /
_cA. Bohm, M. Gadella ; edited by A. Bohm and J.D. Dollard.
260 _aBerlin ;
_aNew York :
_bSpringer-Verlag,
_c©1989.
300 _a1 online resource (vi, 119 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLecture notes in physics,
_x1616-6361 ;
_v348
504 _aIncludes bibliographical references.
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.
588 0 _aPrint version record.
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.
650 0 _aHilbert space.
_99904
650 0 _aQuantum theory.
_91028
650 7 _aHilbert space.
_2fast
_0(OCoLC)fst00956785
_99904
650 7 _aQuantum theory.
_2fast
_0(OCoLC)fst01085128
_91028
655 4 _aElectronic books.
_9396
700 1 _aGadella, M.
_q(Manuel),
_d1949-
_99905
700 1 _aDollard, John D.
_99906
776 0 8 _iPrint version:Böhm, Arno, 1936-
_tDirac Kets, Gamow Vectors, and Gel'fand triplets.
_dBerlin ; New York : Springer-Verlag, ©1989
_z0387519165
_w(DLC) 89028963
_w(OCoLC)20595295
830 0 _aLecture notes in physics ;
_v348.
_x1616-6361
_99907
856 4 0 _uhttps://link-springer-com.libraryproxy.ist.ac.at/10.1007/3-540-51916-5
994 _a92
_bATIST
999 _c374921
_d374921