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Scattering theory of molecules, atoms and nuclei
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Description
Rating
Title
Scattering
theory
of
molecules
,
atoms
and
nuclei
Creator
Canto, L. Felipe.
Contributors
Hussein, M. S.
World Scientific (Firm)
DescriptionAbstract
The
aim
of the
book
is
to
give
a
coherent
and
comprehensive
account
of
quantum
scattering
theory
with
applications
to
atomic
,
molecular
and
nuclear
systems
. The
motivation
for this
is
to
supply
the
necessary
theoretical
tools
to
calculate
scattering
observables
of these
manybody
systems
.
Concepts
which
are
seemingly
different
for
atomic/molecular
scattering
from those of
nuclear
systems
, are
shown
to be the
same
once
physical
units
such
as
energy
and
length
are
diligently
clarified
.
Manybody
resonances
excited
in
nuclear
systems
are the
same
as those in
atomic
systems
and
come
under
the
name
of
Feshbach
resonances
.
We
also
lean
heavily
on
semiclassical
methods
to
explain
the
physics
of
quantum
scattering

especially
the
interference
seen
in the
angle
dependence
of the
cross
section
.
Having
in
mind
a
wide
readership
, the
book
includes
sections
on
scattering
in
two
dimensions
which
is
of
use
in
surface
physics
.
Several
problems
are also
included
at the
end
of
each
of the
chapters
.
DescriptionTable Of Contents
1
.
Basic
notions
.
1.1
.
Introduction
.
1.2
.
Several
definitions
.
1.3
.
Cross
sections
.
1.4
.
Classical
scattering
.
1.5
.
Stationary
scattering
of a
plane
wave
.
1.6
.
Scattering
of a
wave
packet
.
1.7
.
Systems
of
units

2
. The
partial
wave
expansion
method
.
2.1
.
Free
particle
in
spherical
coordinates
.
2.2
.
Numerical
solutions
of the
radial
equation
.
2.3
.
Scattering
amplitude
and
cross
section
.
2.4
.
Wronskian
relations
.
2.5
.
Integral
formulae
for the
phase
shifts
.
2.6
.
Convergence
of the
partialwave
expansion
.
2.7
.
Hard
sphere
scattering
.
2.8
.
Absolute
phase
shifts

Levinson
Theorem
.
2.9
.
Resonances
.
2.10
.
Scattering
from a
squarewell
.
2.11
.
Low
energy
scattering

3
.
Coulomb
scattering
.
3.1
.
Classical
mechanics
description
of
Coulomb
scattering
.
3.2
.
Quantum
mechanical
description
.
3.3
.
Partial
wave
expansion
.
3.4
.
Coulomb
plus
shortrange
potentials

4
.
Green's
functions
,
T
and
Smatrices
.
4.1
.
LippmannSchwinger
equations
.
4.2
. The
transition
and the
scattering
operators
.
4.3
. The
timedependent
picture
.
4.4
.
Scattering
from
nonlocal
separable
potentials
.
4.5
.
Scattering
from the
sum
of
two
potentials
.
4.6
.
Partialwave
expansions
.
4.7
.
Long
range
potentials
.
4.8
.
Evaluation
of
partialwave
Green's
functions

5
.
Approximate
methods
in
potential
scattering
.
5.1
.
Perturbative
approximations
.
5.2
.
Semiclassical
approximations

6
.
Spin
and
identical
particles
.
6.1
.
Collisions
of
particles
with
spin
.
6.2
. The
scattering
of a
spin
1/2
particle
.
6.3
.
Identical
particles
. ;
8
7
.
Scattering
from
complex
potentials
.
7.1
. The
absorption
cross
section
.
7.2
.
LippmannSchwinger
equations
with
complex
potentials
.
7.3
. The
scattering
and the
transition
operators
.
7.4
.
Partialwave
expansions
.
7.5
.
Diffractive
scattering
.
7.6
.
Realistic
treatments
of
elastic
scattering
with
absorptive
potentials

8
.
Additional
topics
.
8.1
.
Analytical
properties
of the
Smatrix
.
8.2
.
Quantum
scattering
in
1D
and
2D
.
8.3
. The
inverse
scattering
problem
.
8.4
. The
Calogero
equation
for
neutral
particle
scattering

9
. The
coupled
channel
formalism
.
9.1
. The
close
coupling
approximation
.
9.2
. The
LippmannSchwinger
equations
.
9.3
.
Partialwave
expansions
.
9.4
.
Coupling
with
continuum
states
.
9.5
.
Solution
of the
coupled
channel
equations

10
.
Fewchannel
description
of
manybody
scattering
.
10.1
. The
Feshbach
calculus
.
10.2
.
Prompt
processes
,
time
delay
and
resonances
.
10.3
.
Energy
averages
and the
optical
model
.
10.4
.
Optical
potentials
.
10.5
.
Dynamic
polarization
potentials
.
10.6
.
Scattering
from
energydependent
potentials

11
.
Approximate
methods
in
manybody
scattering
.
11.1
.
Perturbative
approximations
.
11.2
.
Semiclassical
approximations

12
.
Selected
topics
in
manybody
scattering
.
12.1
.
Doorway
resonances
.
12.2
.
Feshbach
resonances
in
atomatom
collisions
.
12.3
.
Statistical
treatment
of
complex
scattering
: the
compound
nucleus
.
12.4
.
Chaotic
scattering
.
12.5
.
Scattering
in
media
and
nuclear
astrophysics
.
12.6
.
Multiple
scattering
.
12.7
. The
threebody
problem
and
Faddeev
equations
.
12.8
. The
Rmatrix
method
.
Publisher
World Scientific Pub. Co.
Subject
Scattering (Physics)
Identifier
9789814329842
(electronic
bk.)
;
9789814329835
;
http://www.worldscientific.com/worldscibooks/10.1142/8012#t=toc
Language
eng
Type
Electronic books.
FormatExtent
xvi, 630 p. : ill.
Date
c2013
.
OCLC number
874497482
CONTENTdm number
327
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