The fundamentals of atomic and molecular physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | Undergraduate lecture notes in physics
|
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | X, 179 S. graph. Darst. |
| ISBN: | 9781461466772 |
Internformat
MARC
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| 100 | 1 | |a Brooks, Robert L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The fundamentals of atomic and molecular physics |c Robert L. Brooks |
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 2013 | |
| 300 | |a X, 179 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Undergraduate lecture notes in physics | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-026036590 | ||
Datensatz im Suchindex
| _version_ | 1804150422634496000 |
|---|---|
| adam_text | Contents
Part I Atoms
1
Central Forces and Angular Momentum
.................................. 3
1.1
Indiciai
Notation for Vectors
........................................... 3
1.2
Commutator Algebra
.................................................... 5
1.3
Orbital Angular Momentum
............................................ 6
1.4
Solution of the Hydrogen Atom
........................................ 13
1.5
Spin Angular Momentum
............................................... 20
1.6
Addition of Angular Momentum
....................................... 27
1.7
Hamiltonian Consequences of Spin: Hydrogen Atom
................ 34
1.8
Useful Tables
............................................................ 35
2
Complex Atoms
.............................................................. 41
2.1
Shell Model of the Atom
............................................... 42
2.2
Angular Momentum for Complex Atoms
.............................. 46
2.3
Equivalent Electrons
.................................................... 49
2.4
Matrix Elements of the Hamiltonian
................................... 51
2.4.1
One-Electron Operators
........................................ 53
2.4.2
Two-Electron Operators
........................................ 56
2.5
Energy Values for Some Simple Examples
............................ 62
2.6
Average Energy of a Configuration
.................................... 67
2.7
Hartree—
Fock Equations
................................................ 68
2.8
Tables
.................................................................... 70
3
Electro- and
Magnetostatic
Interactions
.................................. 73
3.1
Fine Structure
........................................................... 74
3.2
Zeeman
Effect
........................................................... 80
3.3
Stark Effect
.............................................................. 85
3.3.1
Linear Stark Effect
.............................................. 86
3.3.2
Quadratic Stark Effect
.......................................... 87
3.4
Hyperfine Structure
..................................................... 89
ix
x
Contents
4
Transition
Probabilities
..................................................... 93
4.1
Time-Dependent Perturbation Theory
................................. 93
4.2
Spontaneous Emission
.................................................. 98
4.3
Lifetime for Hydrogen
.................................................. 103
4.4
Transition Moments for Complex Atoms
.............................. 106
4.5
Lifetimes, Selection Rules, and Oscillator Strengths
.................. 108
4.6
Absorption
...............................................................
ПО
Part II Diatomic Molecules
5
Electronic Structure of Diatomic Molecules
.............................. 115
5.1
Hydrogen Molecular Ion
................................................ 116
5.1.
í
Born-Oppenheimer Approximation
........................... 116
5.
1
.2
Molecular
Orbitals
for
H2+
.................................... 117
5.1.3
United Atom and Separated Atom Limits for
Нг+
........... 119
5.1.4
Variational Calculation of Ground-State MO for H2+
........ 120
5.1.5
Variational Calculation of First Excited State MO for
Нг4
. · 127
5.2
The Hydrogen Molecule, H2
........................................... 129
5.3
State Designations for Diatomic Molecules
........................... 134
5.4
First-Row Diatomic Molecules
......................................... 135
5.5
Bonding and
Amibonding Orbitals..................................... 137
6
Vibrations and Rotations of Diatomic
Molecules
...................................................................... 139
6.1
Basic Considerations
.................................................... 140
6.2
The Anharmonic Oscillator and Nonrigid Rotator
.................... 146
6.3
Transitions and Selection Rules
........................................ 149
6.4
Thermal Distribution of Quantum States
.............................. 152
6.5
Effects of Nuclear Spin for Homonuclear Molecules
................. 155
6.6
Labeling of Rotational Bands
.......................................... 159
6.7
Transitions Revisited
.................................................... 161
A Some Atomic Constants
..................................................... 163
В
Polynomials and Spherical Harmonics
.................................... 165
С
Some Tensor Background
................................................... 171
D
Magnetic
Dipole
Interaction Energy
....................................... 173
Index
................................ ................ 177
jraduate Lecture Notes in Physics
Robert L. Brooks
The Fundamentals of Atomic and Molecular Physics
undomentah of Atomic ami Molecular Physics is intended as an
.
to the held for advanced undergraduates who have taken quantum mechanics.
Fach
chapter builds upon the previous, using the same tools and methods throughout. As the
students progress through the book, their ability to use these tools will steadily increase,
along with their confidence in their efficacy,
lhe
book treats the two-electron atom
as the simplest example of the many-electron atom—as opposed to using techniques
that are not applicable to many-electron atoms—so that it is unnecessary to develop
additional equations when turning to multieleetron atoms, such as carbon.
Externai
fields are treated using both perturbation theory and direct diagonali/ation and
spontaneous emission is developed from first principles. Only diatomic molecules
are considered with the hydrogen molecular ion and neutral molecule treated in some
detail. Ibis detailed coverage of the quantum mechanics of
compiei
atoms and simple
diatomic molecules, developed from the
verv
basic components, is extremely useful
for students considering graduate studies in any area of physics.
|
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| author | Brooks, Robert L. |
| author_facet | Brooks, Robert L. |
| author_role | aut |
| author_sort | Brooks, Robert L. |
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| building | Verbundindex |
| bvnumber | BV041059425 |
| classification_rvk | UM 1000 |
| classification_tum | PHY 020f CHE 150f |
| ctrlnum | (OCoLC)849719962 (DE-599)HBZHT017582915 |
| 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 Chemie |
| format | Book |
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| institution | BVB |
| isbn | 9781461466772 |
| language | English |
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| spelling | Brooks, Robert L. Verfasser aut The fundamentals of atomic and molecular physics Robert L. Brooks New York, NY [u.a.] Springer 2013 X, 179 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate lecture notes in physics Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Atomphysik (DE-588)4003423-9 gnd rswk-swf Molekülphysik (DE-588)4039979-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s DE-604 Atomphysik (DE-588)4003423-9 s Molekülphysik (DE-588)4039979-5 s Erscheint auch als Online-Ausgabe 978-1-4614-6678-9 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026036590&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026036590&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brooks, Robert L. The fundamentals of atomic and molecular physics Quantenmechanik (DE-588)4047989-4 gnd Atomphysik (DE-588)4003423-9 gnd Molekülphysik (DE-588)4039979-5 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4003423-9 (DE-588)4039979-5 (DE-588)4123623-3 |
| title | The fundamentals of atomic and molecular physics |
| title_auth | The fundamentals of atomic and molecular physics |
| title_exact_search | The fundamentals of atomic and molecular physics |
| title_full | The fundamentals of atomic and molecular physics Robert L. Brooks |
| title_fullStr | The fundamentals of atomic and molecular physics Robert L. Brooks |
| title_full_unstemmed | The fundamentals of atomic and molecular physics Robert L. Brooks |
| title_short | The fundamentals of atomic and molecular physics |
| title_sort | the fundamentals of atomic and molecular physics |
| topic | Quantenmechanik (DE-588)4047989-4 gnd Atomphysik (DE-588)4003423-9 gnd Molekülphysik (DE-588)4039979-5 gnd |
| topic_facet | Quantenmechanik Atomphysik Molekülphysik Lehrbuch |
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