Quantum theory of high-energy ion-atom collisions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
CRC Press
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes index |
| Physical Description: | VIII, 416 S. graf. Darst. |
| ISBN: | 1584887281 9781584887287 |
Staff View
MARC
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| 100 | 1 | |a Belkić, Dževad |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum theory of high-energy ion-atom collisions |c Dževad Belkić |
| 264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 2009 | |
| 300 | |a VIII, 416 S. |b graf. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes index | ||
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Ion-atom collisions | |
| 650 | 4 | |a Quantum theory | |
| 650 | 0 | 7 | |a Quantenphysik |0 (DE-588)4266670-3 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804138678205808640 |
|---|---|
| adam_text | Contents
About the Author
........................
v
Preface
...............................
vi
Acknowledgments
......................... viii
1
Basic notions and main
observables
in scattering problems
1
1.1
Observables
and elementary processes
............. 1
1.2
Energy as the most important physical property
....... 2
1.3
Classification of collisions
.................... 5
1.4
The role of wave packets
..................... 8
1.5
Adiabatic switching of interaction potentials
.......... 9
1.6
Collimation of beams of projectiles
............... 9
1.7
General waves and quantum mechanical waves
........ 12
1.8
Probability character of quantum collisions
.......... 14
2
Requirements of the theory for the experiment
17
2.1
Elementary events versus multiple scatterings
......... 22
2.2
Average probabilities
....................... 23
2.3
Total cross sections
........................ 24
2.4
Differential cross sections
.................... 30
2.5
Total probabilities
........................ 32
2.6
Transmission phenomena
..................... 33
2.7
Quantum mechanical currents and cross sections
....... 36
3
Continuous spectrum and eigen-problems of resolvents
39
3.1
Completeness and separability of the Hubert spaces
...... 39
3.2
The key realizations of abstract vector spaces
......... 41
3.3
Isomorphism of vector spaces
.................. 42
3.4
Eigen-problems for continuous spectra
............. 45
3.5
Normal and Hermitean operators
................ 51
3.6
Strong and weak topology
.................... 53
3.7
Compact operators for mapping of the weak to strong limits
. 58
3.8
Strong differentiability and strong analyticity
......... 59
4
Linear and bilinear
funcţionale
61
4.1
Linear functionals for mapping between vector spaces and
scalar fields
............................ 61
4.2
The Ries-Freshe theorem
..................... 63
11
4.3
Bilinear functionals
........................ 66
5
Definition of a quantum scattering event
71
5.1
Hamiltonian operators and boundedness
............ 71
5.2
Evolution operators and the M0ller wave operators
...... 72
5.3
The Cauchy strong limit in non-stationary scattering theory
. 73
5.4
Three criteria for a quantum collisional system
........ 74
6
The adiabatic theorem and the Abel strong limit
79
6.1
Adiabatic theorem for scattering states
............. 79
6.2
Adiabatic theorem and existence of wave operators
...... 80
6.3
The Abel strong limit in stationary scattering theory
..... 81
6.4
Exponential screening of potentials and adiabatic theorem
. . 83
6.5
Adiabatic theorem and the Green operators
.......... 84
6.6
Adiabatic theorem and the Lippmann-Schwinger equations
. 85
7
Non-stationary and stationary scattering via the strong limits
87
7.1
The Abel limit and Lippmann-Schwinger equations
...... 87
7.2
The Abel limit and Fourier integrals
.............. 95
8
Scattering matrix and transition matrix
97
8.1
The Abel limit and scattering operators
............ 97
8.2
Matrix elements of scattering operators
............ 99
8.3
Transition operators
.......................101
9
Spectral analysis of operators
105
9.1
The Abel limit with no recourse to the Cauchy limit
.....105
9.2
The spectral theorem
.......................106
9.3
Unitary operators and strong topology
.............108
9.4
The Abel limit for the M0ller wave operators
.........114
9.5
The link between the
Muller
operators and Green resolvents
. 120
10
The existence and completeness of the M0ller wave operatorsl25
10.1
Linearity and isometry of wave operators
............125
10.2
Boundedness of wave operators in the whole Hilbert space
. . 126
10.3
The
Schur
lemma on invariant sub-spaces for evolution oper¬
ators
................................126
10.4
Intertwining relations for evolution operators and wave oper¬
ators
................................128
10.5
The role of spectral projection operators
............130
10.6
Completeness of the M0ller wave operators
..........133
10.7
Scattering operator derived from intertwining wave operators
135
Ill
11
Four-body theories for fast ion-atom collisions
139
11.1
Main features of interactive four-body dynamics
........ 140
11.2
Notation and basic formulae
................... 146
11.3
The entrance channel
....................... 147
11.3.1
The Zp
—
{Zi e ,e2)i collisional system
........ 147
11.3.2
The(ZP,ei)¿1
-(ZT,e2)i2 collisional system
...... 150
11.4
The exit channels
......................... 151
11.4.1
Double electron capture
................. 151
11.4.2
Single electron capture
.................. 154
11.4.3
Transfer ionization
.................... 156
12
Perturbation series with the correct boundary conditions
157
12.1
The Lippmann-Schwinger equations
..............158
12.2
The Born expansions with the correct boundary conditions for
four-body collisions
........................160
13
The Dodd-Greider series for four-body collisions
163
13.1
Derivation of the distorted waves for the initial states
.... 167
13.1.1
The ZP -(ZT;ei,e2),
;
collisional system
........167
13.1.2
ТЬе(^Р,Є!)гі
-(ZT,e2)h collisional system
......170
14
Double electron capture
171
14.1
The CDW-4B method
......................171
14.2
The SE-4B method
........................174
14.3
The CDW-EIS-4B method
....................176
14.4
The CDW-EFS-4B method
...................177
14.5
The BDW-4B method
......................179
14.6
The BCIS-4B method
......................185
14.7
The CB1-4B method
.......................188
14.8
Comparison between theories and experiments
........190
14.8.1
Double electron capture into the ground state
.....190
14.8.2
Double electron capture into excited states
......205
15
Simultaneous transfer and ionization
215
15.1
The CDW-4B method
......................215
15.2
Comparison between theories and experiments
........220
16
Single electron detachment
231
16.1
The MCB-4B method
......................235
16.2
Comparison between theories and experiments
........242
17
Single electron capture
259
17.1
The CDW-4B method
......................259
17.1.1
Differential cross sections: The Thomas double scat¬
tering at all energies
...................263
IV
17.1.2 Total
cross sections
....................265
17.2
The CDW-BFS (prior BDW-4B) and CDW-BIS (post BDW-
4B method)
............................278
18
Electron capture by hydrogen-like projectiles
297
18.1
The CB1-4B method
.......................297
18.2
Comparison between theories and experiments
........301
19
Simultaneous Transfer and Excitation
313
19.1
The CDW-4B method for the
TE
process
........... 314
19.2
The TEX mode for radiative decays of asymmetric systems
. 315
19.2.1
A model for the RTEX modes
.............. 315
19.2.2
A model for the NTEX modes
............. 319
19.3
The CDW-4B method for the TEX modes
........... 320
19.4
The CDW-4B method for the
TE
process in asymmetric col¬
lisions
............................... 321
19.4.1
The
К
a
-
Ka emission line from S14+
......... 322
19.4.2
The Ka
-
Κ β
emission lines from S14 1
........ 325
19.5
Target charge
Ζ·χ
and the interference between the RTEX and
NTEX modes
........................... 326
19.6
The TEA mode for nearly symmetrical systems: the Auger
decay
................................ 329
19.7
The CDW-4B method for the TEA modes
........... 332
19.8
Description of the final state
................... 333
19.9
Cross sections for the TEA modes
............... 335
19.10
The CDW-4B method in the Feshbach resonance formalism
. 336
19.11
Comparison between theories and experiments for electron
spectra near Auger peaks
.................... 337
19.11.1
Electron energy spectral lines
.............. 337
19.11.2
Total cross section for the TEA mode
......... 343
20
Concluding remarks and outlooks
351
List of acronyms in the main text and bibliography
......368
References
.............................371
Index
407
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:32:00Z |
| institution | BVB |
| isbn | 1584887281 9781584887287 |
| language | English |
| lccn | 2008044191 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017159585 |
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| physical | VIII, 416 S. graf. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Belkić, Dževad Verfasser aut Quantum theory of high-energy ion-atom collisions Dževad Belkić Boca Raton, Fla. [u.a.] CRC Press 2009 VIII, 416 S. graf. Darst. txt rdacontent n rdamedia nc rdacarrier Includes index Quantentheorie Ion-atom collisions Quantum theory Quantenphysik (DE-588)4266670-3 gnd rswk-swf Ion-Atom-Stoß (DE-588)4196675-2 gnd rswk-swf Ion-Atom-Stoß (DE-588)4196675-2 s Quantenphysik (DE-588)4266670-3 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017159585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Belkić, Dževad Quantum theory of high-energy ion-atom collisions Quantentheorie Ion-atom collisions Quantum theory Quantenphysik (DE-588)4266670-3 gnd Ion-Atom-Stoß (DE-588)4196675-2 gnd |
| subject_GND | (DE-588)4266670-3 (DE-588)4196675-2 |
| title | Quantum theory of high-energy ion-atom collisions |
| title_auth | Quantum theory of high-energy ion-atom collisions |
| title_exact_search | Quantum theory of high-energy ion-atom collisions |
| title_full | Quantum theory of high-energy ion-atom collisions Dževad Belkić |
| title_fullStr | Quantum theory of high-energy ion-atom collisions Dževad Belkić |
| title_full_unstemmed | Quantum theory of high-energy ion-atom collisions Dževad Belkić |
| title_short | Quantum theory of high-energy ion-atom collisions |
| title_sort | quantum theory of high energy ion atom collisions |
| topic | Quantentheorie Ion-atom collisions Quantum theory Quantenphysik (DE-588)4266670-3 gnd Ion-Atom-Stoß (DE-588)4196675-2 gnd |
| topic_facet | Quantentheorie Ion-atom collisions Quantum theory Quantenphysik Ion-Atom-Stoß |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017159585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT belkicdževad quantumtheoryofhighenergyionatomcollisions |