Coherent States and Applications in Mathematical Physics: Theoretical and Mathematical Physics
Autor Monique Combescure, Didier Roberten Limba Engleză Paperback – 12 apr 2014
| Toate formatele și edițiile | Preț | Express |
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| Paperback (2) | 469.17 lei 38-44 zile | |
| SPRINGER NETHERLANDS – 12 apr 2014 | 469.17 lei 38-44 zile | |
| Springer International Publishing – 27 mai 2022 | 779.09 lei 43-57 zile | |
| Hardback (2) | 393.18 lei 43-57 zile | |
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| Springer International Publishing – 26 mai 2021 | 785.43 lei 43-57 zile |
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Specificații
ISBN-13: 9789400796683
ISBN-10: 9400796684
Pagini: 432
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.66 kg
Ediția:2012
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Theoretical and Mathematical Physics
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9400796684
Pagini: 432
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.66 kg
Ediția:2012
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Theoretical and Mathematical Physics
Locul publicării:Dordrecht, Netherlands
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Public țintă
ResearchCuprins
The
standard
coherent
states
of
quantum
mechanics.-
The
Weyl-Heisenberg
group
and
the
coherent
states
of
arbitrary
profile.-
The
coherent
states
of
the
Harmonic
Oscillator.-
From
Schrödinger
to
Fock-Bargmann
representation.-
Weyl
quantization
and
coherent
states:
Classical
and
Quantum
observables.-
Wigner
function.-
Coherent
states
and
operator
norm
estimates.-
Product
rule
and
applications.-
Husimi
functions,
frequency
sets
and
propagation.-
The
Wick
and
anti-Wick
quantization.-
The
generalized
coherent
states
in
the
sense
of
Perelomov.-
The
SU(1,1)
coherent
states:
Definition
and
properties.-
The
squeezed
states.-
The
SU(2)
coherent
states.-
The
quantum
quadratic
Hamiltonians:
The
propagator
of
quadratic
quantum
Hamiltonians.-
The
metaplectic
transformations.-
The
propagation
of
coherent
states.-
Representation
of
the
Weyl
symbols
of
the
metaplectic
operators.-
The
semiclassical
evolution
of
coherent
states.-
The
van
Vleck
and
Hermann-Kluk
approximations.-
The
semiclassical
Gutzwiller
trace
formula
using
coherent
states
decomposition.-
The
hydrogen
atom
coherent
states:
Definition
and
properties.-
The
localization
around
Kepler
orbits.-
The
quantum
singular
oscillator:
The
two-body
case.-
The
N-body
case.
Recenzii
From
the
reviews:
“This book is meant to be a solid and formal introduction to the theory of coherent states and their applications in mathematical physics … . Most of the emphasis in this work is concentrated on applications of coherent states to semi-classical analysis, as well as to the mathematical treatment of the theory, hence providing a more consistent formal basis than other monographs on the subject. … will certainly be very useful for both physicists and mathematicians.” (Rutwig Campoamor-Stursberg, Mathematical Reviews, March, 2013)
“In this book, the authors elaborate the canonical Gaussian Coherent States and their applications. … This book is a masterpiece at present. The material covered in this book is designed for an advanced graduate student or researcher. The one-parameter coherent states today have caused a great interest for scholars. The authors introduce well into this topic.” (Chen Yong-Qing, Zentralblatt MATH, Vol. 1243, 2012)
“This book is meant to be a solid and formal introduction to the theory of coherent states and their applications in mathematical physics … . Most of the emphasis in this work is concentrated on applications of coherent states to semi-classical analysis, as well as to the mathematical treatment of the theory, hence providing a more consistent formal basis than other monographs on the subject. … will certainly be very useful for both physicists and mathematicians.” (Rutwig Campoamor-Stursberg, Mathematical Reviews, March, 2013)
“In this book, the authors elaborate the canonical Gaussian Coherent States and their applications. … This book is a masterpiece at present. The material covered in this book is designed for an advanced graduate student or researcher. The one-parameter coherent states today have caused a great interest for scholars. The authors introduce well into this topic.” (Chen Yong-Qing, Zentralblatt MATH, Vol. 1243, 2012)
Textul de pe ultima copertă
This
book
presents
the
various
types
of
coherent
states
introduced
and
studied
in
the
physics
and
mathematics
literature
and
describes
their
properties
together
with
application
to
quantum
physics
problems.
It
is
intended
to
serve
as
a
compendium
on
coherent
states
and
their
applications
for
physicists
and
mathematicians,
stretching
from
the
basic
mathematical
structures
of
generalized
coherent
states
in
the
sense
of
Perelomov
via
the
semiclassical
evolution
of
coherent
states
to
various
specific
examples
of
coherent
states
(hydrogen
atom,
quantum
oscillator,
...).
Caracteristici
Consistent
survey
of
all
aspects
and
usages
of
coherent
states
in
semiclassical
analysis,
written
by
the
leading
experts
in
the
field
Goes beyond existing books on coherent states in terms of a rigorous mathematical framework
Describes properties of coherent states together with their applications to quantum physics problems
Contains specific examples of coherent states (hydrogen atom, quantum oscillator, ...)
Goes beyond existing books on coherent states in terms of a rigorous mathematical framework
Describes properties of coherent states together with their applications to quantum physics problems
Contains specific examples of coherent states (hydrogen atom, quantum oscillator, ...)