Molecular rotors in external fields: from directional properties to quantum computation:
Gespeichert in:
1. Verfasser: | |
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Format: | Abschlussarbeit Buch |
Sprache: | English |
Veröffentlicht: |
Berlin
Mensch und Buch Verlag
2016
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | 244 Seiten Diagramme 21 cm |
ISBN: | 9783863877231 |
Internformat
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245 | 1 | 0 | |a Molecular rotors in external fields: from directional properties to quantum computation |c vorgelegt von M.Sc. (Chemistry) Ketan Sharma |
264 | 1 | |a Berlin |b Mensch und Buch Verlag |c 2016 | |
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Datensatz im Suchindex
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adam_text | CONTENTS
LIST OF FIGURES 19
LIST OF TABLES 25
I PREFACE 27
1 INTRODUCTION 29
1.1 AIM AND MOTIVATION
............................................................................
29
1.2 MOLECULAR INTERACTIONS WITH FIELDS: O RIG IN
.........................................
30
1.2.1 MOLECULAR ALIGNMENT AND ORIENTATION
......................................
30
1.2.2 CONTROLLING TRANSLATIONAL MOTION OF DIATOMIC MOLECULES WITH
EXTERNAL FIE LD
S............................................................................
33
1.3 EXPERIMENTAL APPLICATIONS OF MOLECULAR INTERACTIONS WITH FIELDS . .
. 35
1.3.1 MOLECULAR TR A P S
.........................................................................
35
1.3.2 COLD AND ULTRACOLD M O LE C U LE S
...............................................
35
1.3.3 CHEMICAL REACTION D Y N A M IC
S................................................... 36
1.3.4 QUANTUM COMPUTATION WITH POLAR MOLECULES
......................
37
1.3.5 OTHER APPLICATIONS
..................................................................
39
1.4 SCOPE AND OUTLINE OF THE PRESENT TH E
SIS................................................ 40
II THEORY 45
2 ROTATIONAL STRUCTURE OF DIATOMIC MOLECULES 47
2.1 RIGID R O T O R
............................................................................................
48
2.2 SYMMETRIC T O P
.....................................................................................
50
2.3 ANGULAR MOMENTUM A LG E B R A
............................................................... 51
2.4 SPIN ANGULAR M O M EN TU M
.....................................................................
53
2.5 HUND*S COUPLING C A S E S
.........................................................................
55
2.5.1 HUND*S CASE ( A )
.........................................................................
55
2.5.2 HUND*S CASE ( B )
.........................................................................
57
2.5.3 HUND*S CASE ( C )
.........................................................................
57
2.5.4 HUND*S CASE ( D )
.........................................................................
57
2.5.5 HUND*S CASE ( E )
.........................................................................
58
2.6 2 MOLECULE
........................................................................................
59
3
INTERACTION OF
2E
WITH EXTERNAL FIELDS 61
3.1 INTERACTION WITH AN ELECTRIC F I E L D
......................................................... 61
3.2 INTERACTION WITH A MAGNETIC F IE LD
......................................................... 63
3.3 INTERACTION WITH AN OPTICAL FIELD
......................................................... 64
3.4 INTERACTION OF NUCLEAR S P I N
.................................................................. 66
4 TWO MOLECULE INTERACTIONS 69
4.1 ELECTRIC DIPOLE-DIPOLE IN TERACTIO N
S..................................................... 69
4.1.1 APPROXIMATE SOLUTION OF ELECTRIC DIPOLE-DIPOLE INTERACTION . 71
4.1.2 EXACT FORM OF ELECTRIC DIPOLE-DIPOLE INTERACTION AND IT*S MA
TRIX ELEMENTS
............................................................................
71
III A SINGLE MOLECULE IN FIELDS 73
5 SINGLE-FIELD EFFECTS 79
5.1 PURE STARK INTERACTION
..........................................................................
79
5.2 PURE ZEEMAN IN TE RA C TIO N
......................................................................
82
5.3 PURE POLARIZABILITY INTERACTION WITH AN OPTICAL F I E L D
.........................
85
6 DOUBLE-FIELD EFFECTS 89
6.1 CONGRUENT ELECTRIC AND OPTICAL FIE LD S
................................................... 89
6.1.1 AS A FUNCTION OF OPTICAL F I E L D
................................................... 89
6.1.2 AS A FUNCTION OF ELECTRIC FIE LD
................................................... 94
6.2 CONGRUENT ELECTRIC AND MAGNETIC FIELDS
...............................................
95
6.2.1 AS A FUNCTION OF MAGNETIC FIE LD
...............................................
95
6.2.2 AS A FUNCTION OF ELECTRIC FIE LD
................................................... 96
6.3 CONGRUENT MAGNETIC AND OPTICAL FIE LD S
...............................................
104
6.3.1 AS A FUNCTION OF MAGNETIC FIE LD
...................................................104
6.3.2 AS A FUNCTION OF OPTICAL F I E L D
......................................................104
7 TRIPLE-FIELD EFFECTS 107
7.1 VARIATION OF THE ELECTRIC F I E LD
...................................................................107
7.2 VARIATION OF THE MAGNETIC F I E L D
...............................................................
114
7.3 VARIATION OF THE OPTICAL F I E L D
..................................................................
115
IV A PAIR OF MOLECULES IN FIELDS 119
8 PAIR EIGENSTATES IN MAGNETIC FIELD 125
8.1 PAIR-EIGENSTATES IN THE ABSENCE OF THE ELECTRIC DIPOLE-DIPOLE
COUPLING,
E = 0
........................................................................................................
125
8.2 PAIR-EIGENSTATES IN THE PRESENCE OF A SMALL DIPOLE-DIPOLE COUPLING,
E 1
........................................................................................................
128
8.3 PAIR-EIGENSTATES IN THE PRESENCE OF LARGE DIPOLE-DIPOLE COUPLING,
E 1
.........................................................................................................131
9 MUTUAL ALIGNMENT OF A PAIR OF COUPLED ROTORS 135
9.1 ANALYTIC MODEL OF PAIRWISE A LIG N M EN T
.................................................
136
V QUANTUM COMPUTER 141
10 A UNIT QUANTUM CIRCUIT: A PAIR OF POLAR 2 MOLECULES 147
10.1 CHOICE OF QUBITS
.....................................................................................
147
10.2 BEHAVIOR OF A TWO-QUBIT SYSTEM IN CONCURRENT ELECTRIC AND MAGNETIC
F I E L D S
........................................................................................................
149
11 CNOT GATE IMPLEMENTATION SCHEMES 153
11.1 SCHEME I
..................................................................................................154
11.2 SCHEME I I
..................................................................................................154
12 SIMULATIONS OF CNOT GATE FOR A PAIR OF NAO MOLECULE 159
12.1 SCHEME II FOR A PAIR OF NAO MOLECULES
............................................
160
12.2 FEASIBILITY OF SCHEMES I AND I I
............................................................... 164
12.2.1 B RO AD EN IN G
..................................................................................164
12.2.2 MULTIPLE GATE O P E RA TIO N
S............................................................ 167
VI CONCLUSIONS 169
13 SUMMARY AND OUTLOOK 171
13.1 S U M M ARY
..................................................................................................
171
13.2 O U TLO O K
.....................................................................................................
175
VII APPENDIX 177
A ADIABATIC FOLLOWING OF STATES USING THE DOT PRODUCT 179
B NORMALIZATION OF THE WAVEFUNCTIONS AND ITS CONSEQUENCES FOR THE
PLOTTED PROBABILITY DISTRIBUTIONS 181
C DIRECTION COSINE MATRIX ELEMENTS IN THE SYMMETRIC TOP BASIS SET 185
D MATRIX ELEMENTS IN HUND*S CASE (A) BASIS SET 189
E MATRIX ELEMENTS OF THE PAIRWISE ALIGNMENT COSINE IN THE CROSS PROD
UCT BASIS SET OF THE TWO MOLECULES 193
F MATRIX ELEMENTS OF THE ELECTRIC DIPOLE-DIPOLE OPERATOR IN THE CROSS
PRODUCT BASIS SET OF THE TWO MOLECULES 195
G CONVERSION FACTORS 199
BIBLIOGRAPHY 201
|
any_adam_object | 1 |
author | Sharma, Ketan |
author_GND | (DE-588)1154420019 |
author_facet | Sharma, Ketan |
author_role | aut |
author_sort | Sharma, Ketan |
author_variant | k s ks |
building | Verbundindex |
bvnumber | BV044863679 |
ctrlnum | (OCoLC)960855450 (DE-599)DNB1114278920 |
dewey-full | 539.6 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 539 - Modern physics |
dewey-raw | 539.6 |
dewey-search | 539.6 |
dewey-sort | 3539.6 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Thesis Book |
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isbn | 9783863877231 |
language | English |
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physical | 244 Seiten Diagramme 21 cm |
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spelling | Sharma, Ketan Verfasser (DE-588)1154420019 aut Molecular rotors in external fields: from directional properties to quantum computation vorgelegt von M.Sc. (Chemistry) Ketan Sharma Berlin Mensch und Buch Verlag 2016 244 Seiten Diagramme 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Technische Universität Berlin 2016 Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Molekülrotation (DE-588)4170377-7 gnd rswk-swf Polares Molekül (DE-588)4174979-0 gnd rswk-swf Zweiatomiges Molekül (DE-588)4191214-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Zweiatomiges Molekül (DE-588)4191214-7 s Polares Molekül (DE-588)4174979-0 s Molekülrotation (DE-588)4170377-7 s Elektromagnetisches Feld (DE-588)4014305-3 s DE-604 B:DE-101 application/pdf http://d-nb.info/1114278920/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030258288&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sharma, Ketan Molecular rotors in external fields: from directional properties to quantum computation Elektromagnetisches Feld (DE-588)4014305-3 gnd Molekülrotation (DE-588)4170377-7 gnd Polares Molekül (DE-588)4174979-0 gnd Zweiatomiges Molekül (DE-588)4191214-7 gnd |
subject_GND | (DE-588)4014305-3 (DE-588)4170377-7 (DE-588)4174979-0 (DE-588)4191214-7 (DE-588)4113937-9 |
title | Molecular rotors in external fields: from directional properties to quantum computation |
title_auth | Molecular rotors in external fields: from directional properties to quantum computation |
title_exact_search | Molecular rotors in external fields: from directional properties to quantum computation |
title_full | Molecular rotors in external fields: from directional properties to quantum computation vorgelegt von M.Sc. (Chemistry) Ketan Sharma |
title_fullStr | Molecular rotors in external fields: from directional properties to quantum computation vorgelegt von M.Sc. (Chemistry) Ketan Sharma |
title_full_unstemmed | Molecular rotors in external fields: from directional properties to quantum computation vorgelegt von M.Sc. (Chemistry) Ketan Sharma |
title_short | Molecular rotors in external fields: from directional properties to quantum computation |
title_sort | molecular rotors in external fields from directional properties to quantum computation |
topic | Elektromagnetisches Feld (DE-588)4014305-3 gnd Molekülrotation (DE-588)4170377-7 gnd Polares Molekül (DE-588)4174979-0 gnd Zweiatomiges Molekül (DE-588)4191214-7 gnd |
topic_facet | Elektromagnetisches Feld Molekülrotation Polares Molekül Zweiatomiges Molekül Hochschulschrift |
url | http://d-nb.info/1114278920/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030258288&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT sharmaketan molecularrotorsinexternalfieldsfromdirectionalpropertiestoquantumcomputation |
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