03499cam a2200517Ia 4500
ocn233810203
OCoLC
20200625171155.0
m o d
cr unu||||||||
080713s1989 gw a ob 000 0 eng d
SPLNP
eng
pn
SPLNP
GW5XE
OCLCQ
GW5XE
OCLCF
OCLCQ
UAB
OCLCQ
CANPU
LEAUB
OCLCQ
9783540468592
(electronic bk.)
3540468595
(electronic bk.)
0387519165
9780387519166
AU@
000057633747
NZ1
15297550
(OCoLC)233810203
QC174.17.H55
B62 1989
530.1/2
20
MAIN
Böhm, Arno,
1936-
9903
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 ; edited by A. Bohm and J.D. Dollard.
Berlin ;
New York :
Springer-Verlag,
©1989.
1 online resource (vi, 119 pages) :
illustrations
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
Lecture notes in physics,
1616-6361 ;
348
Includes bibliographical references.
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.
Print version record.
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.
Hilbert space.
9904
Quantum theory.
1028
Hilbert space.
fast
(OCoLC)fst00956785
9904
Quantum theory.
fast
(OCoLC)fst01085128
1028
Electronic books.
396
Gadella, M.
(Manuel),
1949-
9905
Dollard, John D.
9906
Print version:Böhm, Arno, 1936-
Dirac Kets, Gamow Vectors, and Gel'fand triplets.
Berlin ; New York : Springer-Verlag, ©1989
0387519165
(DLC) 89028963
(OCoLC)20595295
Lecture notes in physics ;
348.
1616-6361
9907
https://link-springer-com.libraryproxy.ist.ac.at/10.1007/3-540-51916-5
92
ATIST
374921
374921
0
0
0
0
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