Computational atomic physics: electron and positron collisions with atoms and ions
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| Format: | Book |
|---|---|
| Language: | German |
| Published: |
Berlin u.a.
Springer
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 249 S. 1 Diskette 3,5" |
| ISBN: | 3540601791 |
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| 245 | 1 | 0 | |a Computational atomic physics |b electron and positron collisions with atoms and ions |c Klaus Bartschat (ed.) |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1996 | |
| 300 | |a XVIII, 249 S. |e 1 Diskette 3,5" | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Positronenstoß |0 (DE-588)4218998-6 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Elektronenstoß |0 (DE-588)4151890-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Bartschat, Klaus |e Sonstige |4 oth | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007043860 | |
Record in the Search Index
| _version_ | 1807320641156677632 |
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| adam_text |
CONTENTS
1.
ELECTRON-ATOM
SCATTERING
THEORY:
AN
OVERVIEW
BY
KLAUS
BARTSCHAT
.
1
ABSTRACT
.
1
1.1
INTRODUCTION
.
1
1.2
POTENTIAL
SCATTERING
.
3
1.3
PERTURBATION
APPROACHES
.
6
1.4
THE
CLOSE-COUPLING
EXPANSION
.
8
1.5
COMPUTER
PROGRAM
FOR
POTENTIAL
SCATTERING
.
10
1.5.1
DESCRIPTION
OF
THE
INPUT
DATA
.
11
1.5.2
TEST-RUN
DATA
.
12
1.6
SUMMARY
.
13
1.7
SUGGESTED
PROBLEMS
.
13
ACKNOWLEDGMENTS
.
14
REFERENCES
.
14
2.
CORE
POTENTIALS
FOR
QUASI
ONE-ELECTRON
SYSTEMS
BY
KLAUS
BARTSCHAT
.
15
ABSTRACT
.
15
2.1
INTRODUCTION
.
15
2.2
THEORY
.
16
2.3
THE
ALGORITHM
.
17
2.4
COMPUTER
PROGRAM
.
18
2.4.1
PROGRAM
STRUCTURE
.
18
2.4.2
DESCRIPTION
OF
THE
INPUT
PARAMETERS
.
20
2.5
TEST
RUN
.
22
2.6
SUMMARY
.
25
2.7
SUGGESTED
PROBLEMS
.
26
ACKNOWLEDGMENTS
.
26
REFERENCES
.
26
X
CONTENTS
3.
ENERGIES
AND
OSCILLATOR
STRENGTHS
USING
CONFIGURATION
INTERACTION
WAVE
FUNCTIONS
BY
ALAN
HIBBERT
.
27
ABSTRACT
.
27
3.1
INTRODUCTION
.
27
3.2
HYDROGEN-LIKE
IONS
.
29
3.2.1
ANGULAR
MOMENTUM
.
30
3.2.2
COMMUTING
OPERATORS
.
31
3.2.3
FINE
STRUCTURE
.
32
3.3
TWO-ELECTRON
ATOMS
AND
IONS
.
34
3.3.1
WAVE
FUNCTIONS
FOR
TWO-ELECTRON
IONS
.
35
3.3.2
VARIATIONAL
PRINCIPLE
.
36
3.3.3
APPLICATION
TO
THE
TWO-ELECTRON
GROUND-STATE
ENERGY
.
37
3.4
MANY-ELECTRON
ATOMS
AND
IONS
.
38
3.4.1
HARTREE
'
S
METHOD
.
38
3.4.2
THE
HARTREE-FOCK
METHOD
.
39
3.5
CONFIGURATION
INTERACTION
METHODS
.
42
3.5.1
OPTIMIZATION
OF
THE
EXPANSION
COEFFICIENTS
.
43
3.5.2
OPTIMIZATION
OF
THE
CSF
.
44
3.5.3
CORRELATION
ENERGY
.
45
3.5.4
CHOICE
OF
CONFIGURATIONS
.
46
3.5.5
CALCULATION
OF
SEVERAL
STATES
SIMULTANEOUSLY
.
47
3.6
TRANSITION
PROBABILITIES
AND
OSCILLATOR
STRENGTHS
.
48
3.6.1
DIPOLE
APPROXIMATION
.
50
3.6.2
LENGTH
AND
VELOCITY
FORMS
.
51
3.6.3
THE
EFFECT
OF
ELECTRON
CORRELATION
.
52
3.6.4
SELECTION
RULES
.
52
3.7
THE
CODES
.
52
3.7.1
RUNNING
OF
THE
CODES
.
54
3.7.2
SAMPLE
RADIAL
DATA
.
55
3.8
EXAMPLES
.
56
3.9
SUMMARY
.
61
3.10
SUGGESTED
PROBLEMS
.
61
3.10.1
HE-LIKE
IONS
.
61
3.10.2
BE-LIKE
IONS
.
62
3.10.3
GROUND
STATE
OF
CARBON
.
64
REFERENCES
.
64
CONTENTS
XI
4.
THE
DISTORTED-WAVE
METHOD
FOR
ELASTIC
SCATTERING
AND
ATOMIC
EXCITATION
BY
DON
H.
MADISON
AND
KLAUS
BARTSCHAT
.
65
ABSTRACT
.
65
4.1
INTRODUCTION
.
65
4.2
THEORY
.
66
4.2.1
DISTORTED-WAVE
SERIES
.
67
4.2.2
DISCUSSION
OF
DISTORTING
POTENTIALS
UI
AND
UF
.
69
4.3
FIRST-ORDER
AMPLITUDES
.
71
4.3.1
INELASTIC
SCATTERING
.
71
4.3.2
ELASTIC
SCATTERING
.
72
4.4
PARTIAL-WAVE
EXPANSION
OF
THE
T
MATRIX
.
73
4.4.1
INELASTIC
SCATTERING
.
74
4.4.2
ELASTIC
SCATTERING
.
75
4.4.3
DIFFERENTIAL
CROSS
SECTIONS
.
76
4.5
COMPUTER
PROGRAM
.
77
4.5.1
RADIAL
MESH
.
77
4.5.2
NUMERICAL
TECHNIQUE
.
78
4.5.3
PROGRAM
INPUT
.
81
4.5.4
SAMPLE
INPUT
AND
OUTPUT
.
83
4.6
SUMMARY
.
84
4.7
SUGGESTED
PROBLEMS
.
85
ACKNOWLEDGMENTS
.
85
REFERENCES
.
85
5.
DISTORTED-WAVE
METHODS
FOR
IONIZATION
BY
IAN
E.
MCCARTHY
AND
ZHANG
XIXIANG
.
87
ABSTRACT
.
87
5.1
INTRODUCTION
.
87
5.2
THEORY
.
89
5.3
REDUCTION
OF
THE
(E,2E)
AMPLITUDES
TO
COMPUTATIONAL
FORM
.
92
5.3.1
DISTORTED-WAVE
BORN
APPROXIMATION:
DIRECT
AMPLITUDE
.
93
5.3.2
RADIAL
PARTIAL
WAVES
.
94
5.3.3
EXCHANGE
AMPLITUDE
.
94
5.3.4
RADIAL
INTEGRATION
.
95
5.3.5
DISTORTED-WAVE
IMPULSE
APPROXIMATION
.
96
5.4
COMPUTER
PROGRAM
.
96
5.4.1
INPUT
.
96
5.4.2
CALCULATION
OF
THE
DIFFERENTIAL
CROSS
SECTION
.
97
5.4.3
SAMPLE
INPUT
.
98
XII
CONTENTS
5.4.4
SAMPLE
OUTPUT
.
99
5.5
SUMMARY
.
99
5.6
SUGGESTED
PROBLEMS
.
100
ACKNOWLEDGMENTS
.
100
REFERENCES
.
100
6.
THE
CLOSE-COUPLING
APPROXIMATION
BY
R.P.
MCEACHRAN
.
101
ABSTRACT
.
101
6.1
INTRODUCTION
.
101
6.2
THEORY
.
102
6.2.1
THE
CLOSE-COUPLING
EQUATIONS
.
102
6.2.2
BOUNDARY
CONDITIONS
AND
CROSS
SECTIONS
.
109
6.3
THE
NUMERICAL
SOLUTION
OF
THE
CLOSE-COUPLING
EQUATIONS
.
110
6.3.1
THE
POWER-SERIES
EXPANSION
ABOUT
THE
ORIGIN
.
113
6.3.2
ASYMPTOTIC
CORRECTION
PROCEDURES
.
119
6.4
THE
BORN
APPROXIMATION
.
123
6.5
COMPUTER
PROGRAM
.
127
6.5.1
THE
RADIAL
MESHES
.
127
6.5.2
NUMERICAL
PROCEDURES
.
128
6.5.3
CONVERGENCE
CRITERIA
.
129
6.5.4
PROGRAM
INPUT
.
129
6.5.5
SAMPLE
INPUT
AND
OUTPUT
.
132
6.6
SUMMARY
.
134
6.7
SUGGESTED
PROBLEMS
.
134
ACKNOWLEDGMENTS
.
134
REFERENCES
.
134
7.
THE
R-MATRIX
METHOD
BY
P.G.
BURKE
AND
M.P.
SCOTT
.
137
ABSTRACT
.
137
7.1
INTRODUCTION
.
137
7.2
GENERAL
R-MATRIX
THEORY
.
138
7.3
ELECTRON-HYDROGEN-LIKE
ION
SCATTERING
.
141
7.4
COMPUTATIONAL
SOLUTION
OF
THE
ELECTRON-HYDROGEN-LIKE
ION-COLLISION
PROBLEM
.
145
7.4.1
THE
INNER
REGION
.
145
7.4.2
OUTER
REGION
PROBLEM
.
148
7.5
COMPUTER
PROGRAM
.
150
7.5.1
DESCRIPTION
OF
INPUT
DATA
FOR
THE
PROGRAM
PACKAGE
PACK1
.
151
CONTENTS
XIII
7.5.2
DESCRIPTION
OF
INPUT
DATA
FOR
PACK2
.
154
7.5.3
SAMPLE
INPUT
AND
OUTPUT
.
155
7.5.4
NOTES
ON
RUNNING
THE
CODES
.
157
7.6
SUMMARY
.
158
7.7
SUGGESTED
PROBLEMS
.
158
ACKNOWLEDGMENTS
.
159
REFERENCES
.
159
8.
MOMENTUM-SPACE
CONVERGENT-CLOSE-COUPLING
METHOD
FOR
A
MODEL
E-H
SCATTERING
PROBLEM
BY
IGOR
BRAY
AND
ANDRIS
STELBOVICS
.
161
ABSTRACT
.
161
8.1
INTRODUCTION
.
161
8.2
THEORY
.
163
8.2.1
CLOSE-COUPLING
EQUATIONS
.
164
8.2.2
TARGET-STATE
MANIFOLD
.
165
8.2.3
ENSURING
THE
UNIQUENESS
OF
SOLUTION
.
165
8.2.4
MOMENTUM-SPACE
CONVERGENT-CLOSE-COUPLING
.
166
8.2.5
CROSS
SECTIONS
.
167
8.3
NUMERICAL
SOLUTION
.
168
8.3.1
DIAGONALIZING
THE
TARGET
HAMILTONIAN
.
169
8.3.2
CALCULATING
V
MATRIX
ELEMENTS
.
169
8.3.3
SOLUTION
OF
THE
COUPLED
EQUATIONS
.
170
8.4
COMPUTER
PROGRAM
.
.
173
8.4.1
INPUT
.
173
8.4.2
OUTPUT
.
174
8.4.3
TYPICAL
USAGE
.
177
8.5
SUMMARY
.
178
8.6
SUGGESTED
PROBLEMS
.
179
REFERENCES
.
180
9.
THE
CALCULATION
OF
SPHERICAL
BESSEL
AND
COULOMB
FUNCTIONS
BY
A.R.
BARNETT
.
181
ABSTRACT
.
181
9.1
INTRODUCTION
.
181
9.2
SPHERICAL
BESSEL
FUNCTIONS
.
184
9.3
RECURRENCE
RELATIONS
FOR
SPHERICAL
BESSEL
FUNCTIONS
.
187
9.4
EVALUATION
OF
THE
CONTINUED
FRACTION
.
189
9.5
THE
PROGRAMS
SBESJY
AND
RICBES
.
191
9.6
RECURRENCE
RELATIONS
FOR
COULOMB
FUNCTIONS
.
194
XIV
CONTENTS
9.7
THE
PROGRAM
C0UL90
.
197
9.8
TEST
DATA
.
198
9.8.1
SAMPLE
INPUT
DATA
.
198
9.8.2
SAMPLE
OUTPUT
DATA
.
198
9.9
SUMMARY
.
199
9.10
SUGGESTED
PROBLEMS
.
200
ACKNOWLEDGMENTS
.
201
REFERENCES
.
201
10.
SCATTERING
AMPLITUDES
FOR
ELECTRON-ATOM
SCATTERING
BY
KLAUS
BARTSCHAT
.
203
ABSTRACT
.
203
10.1
INTRODUCTION
.
203
10.2
DEFINITION
OF
THE
SCATTERING
AMPLITUDES
.
204
10.3
CONVERGENCE
OF
PARTIAL
WAVE
EXPANSIONS
.
206
10.3.1
EFFECTIVE
RANGE
THEORY
FOR
ELASTIC
SCATTERING
.
207
10.3.2
UNITARIZED
BORN
APPROXIMATION
FOR
EXCITATION
.
207
10.3.3
EXPONENTIAL
FITTING
.
208
10.4
SYMMETRY
PROPERTIES
OF
SCATTERING
AMPLITUDES
.
209
10.5
COMPUTER
PROGRAM
.
211
10.5.1
DESCRIPTION
OF
THE
INPUT
DATA
.
211
10.5.2
TEST
RUNS
.
214
10.6
SUMMARY
.
215
10.7
SUGGESTED
PROBLEMS
.
216
ACKNOWLEDGMENTS
.
217
REFERENCES
.
217
11.
DENSITY
MATRICES:
CONNECTION
BETWEEN
THEORY
AND
EXPERIMENT
BY
KLAUS
BARTSCHAT
.
219
ABSTRACT
.
219
11.1
INTRODUCTION
.
219
11.2
SCATTERING
AMPLITUDES
.
220
11.3
DENSITY
MATRICES
.
222
11.4
IRREDUCIBLE
TENSOR
OPERATORS
AND
STATE
MULTIPOLES
.
224
11.4.1
BASIC
DEFINITIONS
.
224
11.4.2
COUPLED
SYSTEMS
.
227
11.4.3
TIME
EVOLUTION
OF
STATE
MULTIPOLES:
QUANTUM
BEATS
.
227
11.4.4
TIME
INTEGRATION
OVER
QUANTUM
BEATS
.
229
11.5
OBSERVABLES
.
229
11.5.1
GENERALIZED
ST
U
PARAMETERS
.
229
CONTENTS
XV
11.5.2
GENERALIZED
STOKES
PARAMETERS
.
232
11.6
2
S
-
2
P
TRANSITIONS
.
236
11.6.1
GENERAL
DESCRIPTION
OF
AN
EXCITED
2
P
STATE
.
236
11.6.2
RELATIONSHIP
TO
EXPERIMENTAL
OBSERVABLES
.
240
11.7
COMPUTER
PROGRAM
.
242
11.7.1
DESCRIPTION
OF
THE
INPUT
DATA
.
242
11.7.2
TEST
RUN
.
245
11.8
SUMMARY
.
245
11.9
SUGGESTED
PROBLEMS
.
245
ACKNOWLEDGMENTS
.
246
REFERENCES
.
246
SUBJECT
INDEX
.
247 |
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV010564335 |
| classification_rvk | SK 955 ST 630 UN 3040 |
| classification_tum | PHY 534f |
| ctrlnum | (OCoLC)263620169 (DE-599)BVBBV010564335 |
| dewey-full | 539.758 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.758 |
| dewey-search | 539.758 |
| dewey-sort | 3539.758 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik Mathematik |
| format | Book |
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| id | DE-604.BV010564335 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-14T00:27:56Z |
| institution | BVB |
| isbn | 3540601791 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007043860 |
| oclc_num | 263620169 |
| open_access_boolean | |
| owner | DE-384 DE-20 DE-703 DE-91G DE-BY-TUM DE-706 DE-11 |
| owner_facet | DE-384 DE-20 DE-703 DE-91G DE-BY-TUM DE-706 DE-11 |
| physical | XVIII, 249 S. 1 Diskette 3,5" |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spelling | Computational atomic physics electron and positron collisions with atoms and ions Klaus Bartschat (ed.) Berlin u.a. Springer 1996 XVIII, 249 S. 1 Diskette 3,5" txt rdacontent n rdamedia nc rdacarrier Positronenstoß (DE-588)4218998-6 gnd rswk-swf Elektron-Atom-Stoß (DE-588)4207501-4 gnd rswk-swf Elektronenstoß (DE-588)4151890-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Elektron-Atom-Stoß (DE-588)4207501-4 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Elektronenstoß (DE-588)4151890-1 s Positronenstoß (DE-588)4218998-6 s Bartschat, Klaus Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007043860&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Computational atomic physics electron and positron collisions with atoms and ions Positronenstoß (DE-588)4218998-6 gnd Elektron-Atom-Stoß (DE-588)4207501-4 gnd Elektronenstoß (DE-588)4151890-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4218998-6 (DE-588)4207501-4 (DE-588)4151890-1 (DE-588)4128130-5 |
| title | Computational atomic physics electron and positron collisions with atoms and ions |
| title_auth | Computational atomic physics electron and positron collisions with atoms and ions |
| title_exact_search | Computational atomic physics electron and positron collisions with atoms and ions |
| title_full | Computational atomic physics electron and positron collisions with atoms and ions Klaus Bartschat (ed.) |
| title_fullStr | Computational atomic physics electron and positron collisions with atoms and ions Klaus Bartschat (ed.) |
| title_full_unstemmed | Computational atomic physics electron and positron collisions with atoms and ions Klaus Bartschat (ed.) |
| title_short | Computational atomic physics |
| title_sort | computational atomic physics electron and positron collisions with atoms and ions |
| title_sub | electron and positron collisions with atoms and ions |
| topic | Positronenstoß (DE-588)4218998-6 gnd Elektron-Atom-Stoß (DE-588)4207501-4 gnd Elektronenstoß (DE-588)4151890-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Positronenstoß Elektron-Atom-Stoß Elektronenstoß Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007043860&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bartschatklaus computationalatomicphysicselectronandpositroncollisionswithatomsandions |