R-matrix theory of atomic collisions: application to atomic, molecular and optical processes
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
[2011]
|
| Schriftenreihe: | Springer series on atomic, optical, and plasma physics
61 |
| Schlagworte: | |
| Online-Zugang: | http://d-nb.info/1005646503/04 http://deposit.dnb.de/cgi-bin/dokserv?id=3523431&prov=M&dok_var=1&dok_ext=htm http://scans.hebis.de/HEBCGI/show.pl?26141169_ein.pdf Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XVII, 745 Seiten graph. Darst. 25 cm |
| ISBN: | 9783642159305 |
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| 245 | 1 | 0 | |a R-matrix theory of atomic collisions |b application to atomic, molecular and optical processes |c Philip G. Burke |
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| 264 | 4 | |c © 2011 | |
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Datensatz im Suchindex
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| adam_text |
IMAGE 1
CONTENTS
PART I COLLISION THEORY
1 POTENTIAL SCATTERING 3
1.1 SCATTERING BY A SHORT-RANGE POTENTIAL 4
1.2 SCATTERING BY A COULOMB POTENTIAL 10
1.3 ANALYTIC PROPERTIES OF THE S-MATRIX 16
1.4 EFFECTIVE RANGE THEORY 23
1.4.1 SHORT-RANGE POTENTIALS 23
1.4.2 LONG-RANGE POTENTIALS 29
1.4.3 COULOMB POTENTIAL 35
1.5 VARIATIONAL PRINCIPLES 41
1.6 RELATIVISTIC SCATTERING: THE DIRAC EQUATION 45
2 MULTICHANNEL COLLISION THEORY 57
2.1 WAVE EQUATION AND CROSS SECTION 58
2.2 TARGET EIGENSTATES AND PSEUDOSTATES 60
2.2.1 TARGET EIGENSTATES 60
2.2.2 TARGET PSEUDOSTATES 64
2.3 CLOSE COUPLING EQUATIONS 69
2.3.1 FOUNDATIONS OF THE METHOD 69
2.3.2 DERIVATION OF THE CLOSE COUPLING EQUATIONS 74
2.4 AT-MATRIX AND KOHN VARIATIONAL PRINCIPLE 84
2.5 S-MATRIX, 7-MATRIX AND CROSS SECTIONS 91
3 RESONANCES AND THRESHOLD BEHAVIOUR 101
3.1 ANALYTIC PROPERTIES OF THE S-MATRIX 102
3.2 BOUND STATES AND RESONANCES 109
3.2.1 BOUND-STATE AND RESONANCE POLES IN THE 5-MATRIX 110 3.2.2
BEHAVIOUR OF THE S-MATRIX NEAR A RESONANCE 112 3.2.3 BEHAVIOUR OF
EIGENPHASES NEAR A RESONANCE 117 3.2.4 TIME-DELAY MATRIX 121
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1005646503
DIGITALISIERT DURCH
IMAGE 2
XII CONTENTS
3.2.5 FESHBACH PROJECTION OPERATOR THEORY 125
3.2.6 HYPERSPHERICAL COORDINATES 129
3.3 THRESHOLD BEHAVIOUR OF CROSS SECTIONS 135
3.3.1 EXCITATION: SHORT-RANGE POTENTIALS 135
3.3.2 EXCITATION: DIPOLE POTENTIALS 139
3.3.3 EXCITATION: COULOMB POTENTIAL 145
3.3.4 MULTICHANNEL QUANTUM DEFECT THEORY 151
3.3.5 THRESHOLD BEHAVIOUR OF IONIZATION 159
PART II R-MATRIX THEORY AND APPLICATIONS
4 INTRODUCTION TO AE-MATRIX THEORY: POTENTIAL SCATTERING 167 4.1
WIGNER-EISENBUD THEORY 170
4.2 GENERALIZED /?-MATRIX THEORY 175
4.3 VARIATIONAL PRINCIPLES FOR THE /?-MATRIX 179
4.4 AE-MATRIX APPROXIMATION METHODS 181
4.4.1 HOMOGENEOUS BOUNDARY CONDITION METHOD 181 4.4.2 BUTTLE CORRECTIONS
TO THE AE-MATRIX AND WAVE FUNCTION. 184 4.4.3 ARBITRARY BOUNDARY
CONDITION METHODS 187
4.4.4 LINEAR EQUATIONS METHOD 191
4.4.5 EIGENCHANNEL METHODS 192
4.4.6 LAGRANGE MESH METHODS 197
4.4.7 B-SPLINE METHODS 201
4.4.8 DIRECT CALCULATION OF SIEGERT STATE PARAMETERS 207 4.5 PROPAGATOR
METHODS 209
4.5.1 LIGHT-WALKER PROPAGATOR 210
4.5.2 BBM PROPAGATOR 213
4.6 DIRAC /?-MATRIX THEORY 215
5 ELECTRON COLLISIONS WITH ATOMS AND IONS 227
5.1 MULTICHANNEL /?-MATRIX THEORY 228
5.1.1 INTRODUCTION AND COMPUTER PROGRAMS 229
5.1.2 INTERNAL REGION SOLUTION 232
5.1.3 EXTERNAL REGION SOLUTION 238
5.1.4 ASYMPTOTIC REGION SOLUTION 240
5.2 VARIATIONAL PRINCIPLE FOR THE AE-MATRIX 242
5.3 CONTINUUM BASIS ORBITALS AND CORRECTION METHODS 247
5.3.1 HOMOGENEOUS BOUNDARY CONDITION METHOD 248 5.3.2 BUTTLE CORRECTION
TO THE /J-MATRIX AND WAVE FUNCTION 250 5.3.3 ARBITRARY BOUNDARY
CONDITION METHODS 254
5.3.4 PARTITIONED AE-MATRIX METHOD 256
5.4 INCLUSION OF RELATIVISTIC EFFECTS 260
5.4.1 TRANSFORMATION OF THE K- AND S-MATRICES 261
5.4.2 BREIT-PAULI HAMILTONIAN 265
5.4.3 FRAME-TRANSFORMATION THEORY 272
IMAGE 3
CONTENTS
5.5 DIRAC FL-MATRIX THEORY 275
5.5.1 INTRODUCTION AND COMPUTER PROGRAMS 276
5.5.2 INTERNAL REGION SOLUTION 277
5.5.3 EXTERNAL REGION SOLUTION 284
5.5.4 ASYMPTOTIC REGION SOLUTION 287
5.5.5 CONTINUUM BASIS ORBITALS 289
5.5.6 BUTTLE CORRECTION 291
5.6 LOW-ENERGY ELECTRON COLLISION CALCULATIONS 292
5.6.1 ELECTRON COLLISIONS WITH H 292
5.6.2 ELECTRON COLLISIONS WITH HE 294
5.6.3 ELECTRON COLLISIONS WITH NE 298
5.6.4 ELECTRON COLLISIONS WITH SI III 299
5.6.5 ELECTRON COLLISIONS WITH FE II 301
5.6.6 ELECTRON COLLISIONS WITH FE XV 307
5.6.7 ELECTRON COLLISIONS WITH XE XXVII 309
INTERMEDIATE-ENERGY COLLISIONS 311
6.1 OVERVIEW OF INTERMEDIATE-ENERGY METHODS 312
6.2 AE-MATRIX WITH PSEUDOSTATES METHOD 316
6.3 INTERMEDIATE-ENERGY AE-MATRIX METHOD 322
6.3.1 GENERAL PROCEDURE 323
6.3.2 TWO-ELECTRON EXAMPLE 327
6.4 R-MATRIX ENERGY AVERAGING 337
6.5 DISTORTED WAVE AND SECOND-BORN METHODS 343
6.6 INTERMEDIATE-ENERGY ELECTRON COLLISION CALCULATIONS 348 6.6.1
ELECTRON COLLISIONS WITH H 348
6.6.2 ELECTRON COLLISIONS WITH CIV 351
6.6.3 ELECTRON IMPACT EXCITATION-IONIZATION OF HE 352
POSITRON COLLISIONS WITH ATOMS AND IONS 355
7.1 MULTICHANNEL R -MATRIX THEORY 356
7.1.1 INTRODUCTION 356
7.1.2 INTERNAL REGION SOLUTION '. 360
7.1.3 EXTERNAL REGION SOLUTION 367
7.1.4 ASYMPTOTIC REGION SOLUTION 370
7.2 POSITRON AND POSITRONIUM COLLISION CALCULATIONS 373
7.2.1 POSITRON COLLISIONS WITH H 373
7.2.2 POSITRONIUM COLLISIONS WITH HE 375
7.2.3 TARGET POLARIZATION IN POSITRONIUM COLLISIONS 377
PHOTOIONIZATION, PHOTORECOMBINATION AND ATOMS IN FIELDS 379 8.1 ATOMIC
PHOTOIONIZATION 380
8.1.1 INTRODUCTION AND GENERAL THEORY 380
8.1.2 /?-MATRIX THEORY 390
IMAGE 4
IDV CONTENTS
8.2 PHOTORECOMBINATION AND RADIATION DAMPING 404
8.2.1 INTRODUCTION 404
8.2.2 /?-MATRIX THEORY 406
8.3 THE OPACITY PROJECT 414
8.4 SPECTRA OF ATOMS IN FIELDS 416
8.5 ILLUSTRATIVE EXAMPLES 422
8.5.1 PHOTOIONIZATION OF LI 423
8.5.2 PHOTOIONIZATION OF FE VII 424
8.5.3 PHOTORECOMBINATION IN ELECTRON COLLISIONS WITH O VIII 426
8.5.4 RADIATION DAMPING IN ELECTRON COLLISIONS WITH FE XXVI 428
8.5.5 RADIATION DAMPING IN ELECTRON COLLISIONS WITH W XLVII 428
8.5.6 PHOTOIONIZATION SPECTRUM OF LI IN A MAGNETIC FIELD 431
9 MULTIPHOTON PROCESSES: FLOQUET THEORY 433
9.1 AE-MATRIX-FLOQUET THEORY 434
9.1.1 INTRODUCTION 434
9.1.2 INTERNAL REGION SOLUTION 436
.3 EXTERNAL REGION SOLUTION 441
.4 ASYMPTOTIC REGION SOLUTION IN THE VELOCITY GAUGE 451 .5 ASYMPTOTIC
REGION SOLUTION IN THE ACCELERATION FRAME 456
.6 ASYMPTOTIC REGION SOLUTION: SIMPLIFIED ANALYSIS 466 L .7 HARMONIC
GENERATION 473
9.1.8 NON-HERMITIAN FLOQUET DYNAMICS 477
9.2 ILLUSTRATIVE EXAMPLES 480
9.2.1 RESONANCES IN MULTIPHOTON IONIZATION 480
9.2.2 HARMONIC GENERATION 484
9.2.3 LASER-INDUCED DEGENERATE STATES 487
9.2.4 LASER-ASSISTED ELECTRON-ATOM COLLISIONS 489
10 MULTIPHOTON PROCESSES: TIME-DEPENDENT THEORY 493
10.1 TIME-DEPENDENT ^-MATRIX THEORY 494
10.1.1 INTRODUCTION 494
10.1.2 INTERNAL REGION SOLUTION 499
10.1.3 EXTERNAL REGION SOLUTION 506
10.1.4 COMPUTATIONAL METHODS 511
10.1.5 ANALYSIS OF APPLICATIONS 516
10.2 ILLUSTRATIVE EXAMPLES 523
10.2.1 MULTIPHOTON IONIZATION OF NE 524
10.2.2 MULTIPHOTON IONIZATION OF AR 528
IMAGE 5
11.
11. 11. 11. 11. 11. 11.
LI 1.2 1.3 1.4 1.5 L.6 L.7
CONTENTS XV
11 COLLISIONS WITH MOLECULES 533
11.1 ELECTRON COLLISIONS WITH MOLECULES 535
INTRODUCTION 535
FIXED-NUCLEI R -MATRIX THEORY 536
INCLUSION OF NUCLEAR MOTION 544
NON-ADIABATIC ^-MATRIX THEORY 548
RESONANT /?-MATRIX THEORY 560
SCATTERING AMPLITUDES AND CROSS SECTIONS 561 ILLUSTRATIVE EXAMPLES: N 2
, O2, N 2 O, H% 566
11.2 POSITRON COLLISIONS WITH MOLECULES 573
11.2.1 R -MATRIX THEORY AND CALCULATIONS 573
11.2.2 ILLUSTRATIVE EXAMPLES: H 2 O, CO 2 575
11.3 MOLECULAR MULTIPHOTON PROCESSES 579
11.3.1 MOLECULAR /?-MATRIX-FLOQUET THEORY 579
11.3.2 ILLUSTRATIVE EXAMPLE: H 2 588
12 ELECTRON INTERACTIONS IN SOLIDS 591
12.1 ELECTRON COLLISIONS WITH TRANSITION METAL OXIDES 592 12.1.1
INTRODUCTION 592
12.1.2 R-MAUEIX THEORY 592
12.1.3 ILLUSTRATIVE EXAMPLE 594
12.2 ELECTRON TRANSPORT IN SEMICONDUCTOR DEVICES 596
12.2.1 INTRODUCTION 596
12.2.2 /?-MATRIX THEORY 597
12.2.3 ILLUSTRATIVE EXAMPLE 602
PART III APPENDICES
APPENDIX A CLEBSCH-GORDAN AND RACAH COEFFICIENTS 607
A.I CLEBSCH-GORDAN COEFFICIENTS 607
A.2 RACAH COEFFICIENTS 612
A.3 6-J SYMBOLS 615
A.4 9-J SYMBOLS 615
A.5 HIGHER ORDER 3N-J SYMBOLS 617
APPENDIX B LEGENDRE POLYNOMIALS AND RELATED FUNCTIONS 619 B.I LEGENDRE
POLYNOMIALS 619
B.2 ASSOCIATED LEGENDRE FUNCTIONS 621
B.3 SPHERICAL HARMONICS 623
B.4 PHASE OF SPHERICAL HARMONICS 628
B.5 TRANSFORMATION UNDER ROTATIONS 632
IMAGE 6
XVI CONTENTS
APPENDIX C BESSEL FUNCTIONS AND RELATED FUNCTIONS 639
C.I BESSEL FUNCTIONS 639
C.2 SPHERICAL BESSEL FUNCTIONS 642
APPENDIX D APPLICATIONS OF ANGULAR MOMENTUM ALGEBRA 647 D.I LONG-RANGE
ELECTRON-ATOM POTENTIAL COEFFICIENTS 647 D.I.I NON-RELATIVISTIC
COLLISIONS 647
D.1.2 INCLUSION OF RELATIVISTIC EFFECTS 652
D.2 AE-MATRIX-FLOQUET MULTIPHOTON POTENTIAL 654
D.3 TIME-DEPENDENT MULTIPHOTON POTENTIAL 657
D.4 ATOMIC PHOTOIONIZATION CROSS SECTION 662
APPENDIX E PROPAGATOR METHODS 665
E.I LIGHT-WALKER PROPAGATOR METHOD 666
E.2 LOG-DERIVATIVE PROPAGATOR METHOD 671
E.3 BBM PROPAGATOR METHOD 675
E.4 PROPAGATION OF DRIVEN EQUATIONS 678
E.5 PROPAGATOR METHOD WITH FIRST-ORDER DERIVATIVE 681
E.6 PROPAGATION OF SETS OF UNCOUPLED CHANNELS 684
APPENDIX F ASYMPTOTIC EXPANSIONS 693
F.I ELECTRON AND POSITRON COLLISIONS 693
F.2 MULTIPHOTON PROCESSES 700
REFERENCES 707
INDEX 731 |
| any_adam_object | 1 |
| author | Burke, P. G. 1932- |
| author_GND | (DE-588)122618491 |
| author_facet | Burke, P. G. 1932- |
| author_role | aut |
| author_sort | Burke, P. G. 1932- |
| author_variant | p g b pg pgb |
| building | Verbundindex |
| bvnumber | BV043673640 |
| classification_rvk | UN 2500 UO 2000 UO 2700 |
| ctrlnum | (OCoLC)724220045 (DE-599)DNB1005646503 |
| dewey-full | 539.757 539.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.757 539.6 |
| dewey-search | 539.757 539.6 |
| dewey-sort | 3539.757 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV043673640 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T03:04:09Z |
| institution | BVB |
| isbn | 9783642159305 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029086719 |
| oclc_num | 724220045 |
| open_access_boolean | |
| owner | DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-11 DE-19 DE-BY-UBM |
| physical | XVII, 745 Seiten graph. Darst. 25 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Springer series on atomic, optical, and plasma physics |
| series2 | Springer series on atomic, optical, and plasma physics |
| spelling | Burke, P. G. 1932- Verfasser (DE-588)122618491 aut R-matrix theory of atomic collisions application to atomic, molecular and optical processes Philip G. Burke Berlin Springer [2011] © 2011 XVII, 745 Seiten graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Springer series on atomic, optical, and plasma physics 61 Literaturangaben Elektron-Molekül-Stoß (DE-588)4131963-1 gnd rswk-swf Positronenstoß (DE-588)4218998-6 gnd rswk-swf Elektron-Atom-Stoß (DE-588)4207501-4 gnd rswk-swf S-Matrix (DE-588)4181702-3 gnd rswk-swf Atomstoß (DE-588)4135380-8 gnd rswk-swf Elektron-Ion-Stoß (DE-588)4206999-3 gnd rswk-swf Fotoionisation (DE-588)4174506-1 gnd rswk-swf Atomstoß (DE-588)4135380-8 s S-Matrix (DE-588)4181702-3 s Elektron-Atom-Stoß (DE-588)4207501-4 s Elektron-Ion-Stoß (DE-588)4206999-3 s Elektron-Molekül-Stoß (DE-588)4131963-1 s Positronenstoß (DE-588)4218998-6 s Fotoionisation (DE-588)4174506-1 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-15931-2 Springer series on atomic, optical, and plasma physics 61 (DE-604)BV013270105 61 B:DE-101 application/pdf http://d-nb.info/1005646503/04 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3523431&prov=M&dok_var=1&dok_ext=htm V:DE-576;X:springer application/pdf http://scans.hebis.de/HEBCGI/show.pl?26141169_ein.pdf DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029086719&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Burke, P. G. 1932- R-matrix theory of atomic collisions application to atomic, molecular and optical processes Springer series on atomic, optical, and plasma physics Elektron-Molekül-Stoß (DE-588)4131963-1 gnd Positronenstoß (DE-588)4218998-6 gnd Elektron-Atom-Stoß (DE-588)4207501-4 gnd S-Matrix (DE-588)4181702-3 gnd Atomstoß (DE-588)4135380-8 gnd Elektron-Ion-Stoß (DE-588)4206999-3 gnd Fotoionisation (DE-588)4174506-1 gnd |
| subject_GND | (DE-588)4131963-1 (DE-588)4218998-6 (DE-588)4207501-4 (DE-588)4181702-3 (DE-588)4135380-8 (DE-588)4206999-3 (DE-588)4174506-1 |
| title | R-matrix theory of atomic collisions application to atomic, molecular and optical processes |
| title_auth | R-matrix theory of atomic collisions application to atomic, molecular and optical processes |
| title_exact_search | R-matrix theory of atomic collisions application to atomic, molecular and optical processes |
| title_full | R-matrix theory of atomic collisions application to atomic, molecular and optical processes Philip G. Burke |
| title_fullStr | R-matrix theory of atomic collisions application to atomic, molecular and optical processes Philip G. Burke |
| title_full_unstemmed | R-matrix theory of atomic collisions application to atomic, molecular and optical processes Philip G. Burke |
| title_short | R-matrix theory of atomic collisions |
| title_sort | r matrix theory of atomic collisions application to atomic molecular and optical processes |
| title_sub | application to atomic, molecular and optical processes |
| topic | Elektron-Molekül-Stoß (DE-588)4131963-1 gnd Positronenstoß (DE-588)4218998-6 gnd Elektron-Atom-Stoß (DE-588)4207501-4 gnd S-Matrix (DE-588)4181702-3 gnd Atomstoß (DE-588)4135380-8 gnd Elektron-Ion-Stoß (DE-588)4206999-3 gnd Fotoionisation (DE-588)4174506-1 gnd |
| topic_facet | Elektron-Molekül-Stoß Positronenstoß Elektron-Atom-Stoß S-Matrix Atomstoß Elektron-Ion-Stoß Fotoionisation |
| url | http://d-nb.info/1005646503/04 http://deposit.dnb.de/cgi-bin/dokserv?id=3523431&prov=M&dok_var=1&dok_ext=htm http://scans.hebis.de/HEBCGI/show.pl?26141169_ein.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029086719&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013270105 |
| work_keys_str_mv | AT burkepg rmatrixtheoryofatomiccollisionsapplicationtoatomicmolecularandopticalprocesses |