Theoretical femtosecond physics: atoms and molecules in strong laser fields
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Series: | Springer series on atomic, optical, and plasma physics
48 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 214 S. Ill., graph. Darst. |
| ISBN: | 9783540778967 3540778969 9783540778974 |
Staff View
MARC
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| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a XIII, 214 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
Part I Prerequisites
A Short Introduction to Laser Physics
..................... 3
1.1
The Einstein Coefficients
................................. 3
1.2
Fundamentals of the Laser
................................ 6
1.2.1
Elementary Laser Theory
........................... 6
1.2.2
Realization of the Laser Principle
.................... 8
1.3
Pulsed Lasers
........................................... 10
1.3.1
Frequency Comb
.................................. 10
1.3.2
Carrier Envelope Phase
............................ 12
1.3.3
Husimi Representation of Laser Pulses
............... 14
l.A Some Gaussian Integrals
.................................. 15
References
................................................. 16
Time-Dependent Quantum Theory
........................ 17
2.1
The Time-Dependent
Schrödinger
Equation
................. 17
2.1.1
Introduction
...................................... 18
2.1.2
Time-Evolution Operator
.......................... 20
2.1.3
Spectral Information
............................... 23
2.1.4
Analytical Solutions for Wavepackets
................ 25
2.2
Analytical Approaches
................................... 30
2.2.1
Feynman s Path Integral
........................... 30
2.2.2
Semiclassical Approximation
........................ 35
2.2.3
Time-Dependent Perturbation Theory
............... 38
2.2.4
Magnus Expansion
................................ 40
2.2.5
Time-Dependent
Hartree
Method
.................... 42
2.2.6
Quantum-Classical Methods
........................ 43
2.2.7
Floquet Theory
................................... 45
2.3
Numerical Methods
...................................... 48
2.3.1
Orthogonal Basis Expansion
........................ 48
2.3.2
Split-Operator FFT Method
........................ 52
XII Contents
2.3.3
Alternative
Methods of Time-Evolution
.............. 56
2.3.4
Semiclassical Initial Value Representations
........... 58
2.A The Royal Road to the Path Integral
...................... 65
2.B Variational Calculus
..................................... 67
2.C Stability Matrix
......................................... 69
2.D Prom the HK- to the WG-Propagator
..................... 71
References
................................................. 72
Part II Applications
3
Field Matter Coupling and Two-Level Systems
........... 77
3.1
Light Matter Interaction
................................. 77
3.1.1
Minimal Coupling
................................. 77
3.1.2
Length Gauge
..................................... 79
3.1.3
Kramers-Henneberger Transformation
............... 81
3.1.4
Volkov Wavepacket
................................ 82
3.2
Analytically Solvable Two-Level Problems
................. 83
3.2.1 Dipole
Matrix Element
............................. 83
3.2.2
Rabi
Oscillations Induced by a Constant Perturbation
. 84
3.2.3
Time-Dependent Perturbations
...................... 86
3.2.4
Exactly Solvable Time-Dependent Cases
............. 89
3.A Generalized Parity Transformation
......................... 91
3.B Two-Level System in an Incoherent Field
.................. 93
References
................................................. 95
4
Single Electron Atoms in Strong Laser Fields
.............. 97
4.1
The Hydrogen Atom
..................................... 97
4.1.1
Hydrogen in Three Dimensions
...................... 98
4.1.2
The One-Dimensional Coulomb Problem
............. 99
4.2
Field Induced Ionization
..................................101
4.2.1
Tunnel Ionization
.................................101
4.2.2
Multiphoton Ionization
.............................104
4.2.3
ATI in the Coulomb Potential
.......................109
4.2.4
Stabilization in Very Strong Fields
...................
Ill
4.2.5
Atoms Driven by HCP
.............................113
4.3
High Harmonic Generation
...............................119
4.3.1
Three-Step Model
.................................119
4.3.2
Odd Harmonics Rule
..............................123
4.3.3
Semiclassical Explanation of the Plateau
.............124
4.3.4
Cutoff and Odd Harmonics Revisited
................126
4-А
More on Atomic Units
...................................131
References
.................................................133
Contents XIII
5
Molecules in Strong Laser Fields
..........................135
5.1
The Molecular Ion H+
...................................135
5.1.1
Electronic Potential Energy Surfaces
.................135
5.1.2
The Morse Potential
...............................140
5.2
Hj in a Laser Field
......................................142
5.2.1
Frozen Nuclei
.....................................142
5.2.2
Nuclei in Motion
..................................147
5.3
Adiabatic and Nonadiabatic Nuclear Dynamics
..............151
5.3.1
Born-Oppenheimer Approximation
..................152
5.3.2
Dissociation in a Morse Potential
....................156
5.3.3
Coupled Potential Surfaces
.........................159
5.3.4
Femtosecond Spectroscopy
..........................168
5.4
Control of Molecular Dynamics
............................177
5.4.1
Control of Tunneling
...............................178
5.4.2
Control of Population Transfer
......................185
5.4.3
Optimal Control Theory
...........................189
5.4.4
Genetic Algorithms
................................195
5.4.5
Toward Quantum Computing with Molecules
.........197
5.
A Relative and Center of Mass Coordinates for
Ht
............200
5.
В
Perturbation Theory for Two Coupled Surfaces
..............201
5.
С
Reflection Principle of
Photodissociation
...................202
5.D The Undriven Double Well Problem
.......................203
5.E The Quantum Mechanical Adiabatic Theorem
...............205
References
.................................................206
Index
..........................................................209
|
| adam_txt |
Contents
Part I Prerequisites
A Short Introduction to Laser Physics
. 3
1.1
The Einstein Coefficients
. 3
1.2
Fundamentals of the Laser
. 6
1.2.1
Elementary Laser Theory
. 6
1.2.2
Realization of the Laser Principle
. 8
1.3
Pulsed Lasers
. 10
1.3.1
Frequency Comb
. 10
1.3.2
Carrier Envelope Phase
. 12
1.3.3
Husimi Representation of Laser Pulses
. 14
l.A Some Gaussian Integrals
. 15
References
. 16
Time-Dependent Quantum Theory
. 17
2.1
The Time-Dependent
Schrödinger
Equation
. 17
2.1.1
Introduction
. 18
2.1.2
Time-Evolution Operator
. 20
2.1.3
Spectral Information
. 23
2.1.4
Analytical Solutions for Wavepackets
. 25
2.2
Analytical Approaches
. 30
2.2.1
Feynman's Path Integral
. 30
2.2.2
Semiclassical Approximation
. 35
2.2.3
Time-Dependent Perturbation Theory
. 38
2.2.4
Magnus Expansion
. 40
2.2.5
Time-Dependent
Hartree
Method
. 42
2.2.6
Quantum-Classical Methods
. 43
2.2.7
Floquet Theory
. 45
2.3
Numerical Methods
. 48
2.3.1
Orthogonal Basis Expansion
. 48
2.3.2
Split-Operator FFT Method
. 52
XII Contents
2.3.3
Alternative
Methods of Time-Evolution
. 56
2.3.4
Semiclassical Initial Value Representations
. 58
2.A The Royal Road to the Path Integral
. 65
2.B Variational Calculus
. 67
2.C Stability Matrix
. 69
2.D Prom the HK- to the WG-Propagator
. 71
References
. 72
Part II Applications
3
Field Matter Coupling and Two-Level Systems
. 77
3.1
Light Matter Interaction
. 77
3.1.1
Minimal Coupling
. 77
3.1.2
Length Gauge
. 79
3.1.3
Kramers-Henneberger Transformation
. 81
3.1.4
Volkov Wavepacket
. 82
3.2
Analytically Solvable Two-Level Problems
. 83
3.2.1 Dipole
Matrix Element
. 83
3.2.2
Rabi
Oscillations Induced by a Constant Perturbation
. 84
3.2.3
Time-Dependent Perturbations
. 86
3.2.4
Exactly Solvable Time-Dependent Cases
. 89
3.A Generalized Parity Transformation
. 91
3.B Two-Level System in an Incoherent Field
. 93
References
. 95
4
Single Electron Atoms in Strong Laser Fields
. 97
4.1
The Hydrogen Atom
. 97
4.1.1
Hydrogen in Three Dimensions
. 98
4.1.2
The One-Dimensional Coulomb Problem
. 99
4.2
Field Induced Ionization
.101
4.2.1
Tunnel Ionization
.101
4.2.2
Multiphoton Ionization
.104
4.2.3
ATI in the Coulomb Potential
.109
4.2.4
Stabilization in Very Strong Fields
.
Ill
4.2.5
Atoms Driven by HCP
.113
4.3
High Harmonic Generation
.119
4.3.1
Three-Step Model
.119
4.3.2
Odd Harmonics Rule
.123
4.3.3
Semiclassical Explanation of the Plateau
.124
4.3.4
Cutoff and Odd Harmonics Revisited
.126
4-А
More on Atomic Units
.131
References
.133
Contents XIII
5
Molecules in Strong Laser Fields
.135
5.1
The Molecular Ion H+
.135
5.1.1
Electronic Potential Energy Surfaces
.135
5.1.2
The Morse Potential
.140
5.2
Hj in a Laser Field
.142
5.2.1
Frozen Nuclei
.142
5.2.2
Nuclei in Motion
.147
5.3
Adiabatic and Nonadiabatic Nuclear Dynamics
.151
5.3.1
Born-Oppenheimer Approximation
.152
5.3.2
Dissociation in a Morse Potential
.156
5.3.3
Coupled Potential Surfaces
.159
5.3.4
Femtosecond Spectroscopy
.168
5.4
Control of Molecular Dynamics
.177
5.4.1
Control of Tunneling
.178
5.4.2
Control of Population Transfer
.185
5.4.3
Optimal Control Theory
.189
5.4.4
Genetic Algorithms
.195
5.4.5
Toward Quantum Computing with Molecules
.197
5.
A Relative and Center of Mass Coordinates for
Ht
.200
5.
В
Perturbation Theory for Two Coupled Surfaces
.201
5.
С
Reflection Principle of
Photodissociation
.202
5.D The Undriven Double Well Problem
.203
5.E The Quantum Mechanical Adiabatic Theorem
.205
References
.206
Index
.209 |
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| author | Großmann, Frank |
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| dewey-search | 621.366 |
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| discipline_str_mv | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
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| id | DE-604.BV023355571 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:06:51Z |
| indexdate | 2024-07-09T21:16:42Z |
| institution | BVB |
| isbn | 9783540778967 3540778969 9783540778974 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016539119 |
| oclc_num | 213114153 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR DE-703 DE-91G DE-BY-TUM DE-11 DE-188 DE-384 |
| owner_facet | DE-20 DE-355 DE-BY-UBR DE-703 DE-91G DE-BY-TUM DE-11 DE-188 DE-384 |
| physical | XIII, 214 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series | Springer series on atomic, optical, and plasma physics |
| series2 | Springer series on atomic, optical, and plasma physics |
| spelling | Großmann, Frank Verfasser (DE-588)136200885 aut Theoretical femtosecond physics atoms and molecules in strong laser fields F. Grossmann Berlin [u.a.] Springer 2008 XIII, 214 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series on atomic, optical, and plasma physics 48 Atomes ram Impulsions laser ultra-brèves ram Interactions photon-atome ram Laser pulses, Ultrashort Ultrakurzer Lichtimpuls (DE-588)4222149-3 gnd rswk-swf Laserimpuls (DE-588)4130722-7 gnd rswk-swf Kurzzeitphysik (DE-588)4033856-3 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Starkes Feld (DE-588)4234583-2 gnd rswk-swf Zeitabhängige Schrödinger-Gleichung (DE-588)4190585-4 gnd rswk-swf Femtosekundenbereich (DE-588)4311267-5 gnd rswk-swf Elektromagnetische Strahlung (DE-588)4014297-8 gnd rswk-swf Kurzzeitphysik (DE-588)4033856-3 s Laserimpuls (DE-588)4130722-7 s Femtosekundenbereich (DE-588)4311267-5 s DE-604 Zeitabhängige Schrödinger-Gleichung (DE-588)4190585-4 s Elektromagnetische Strahlung (DE-588)4014297-8 s Starkes Feld (DE-588)4234583-2 s Ultrakurzer Lichtimpuls (DE-588)4222149-3 s Quantenmechanisches System (DE-588)4300046-0 s Springer series on atomic, optical, and plasma physics 48 (DE-604)BV013270105 48 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016539119&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Großmann, Frank Theoretical femtosecond physics atoms and molecules in strong laser fields Springer series on atomic, optical, and plasma physics Atomes ram Impulsions laser ultra-brèves ram Interactions photon-atome ram Laser pulses, Ultrashort Ultrakurzer Lichtimpuls (DE-588)4222149-3 gnd Laserimpuls (DE-588)4130722-7 gnd Kurzzeitphysik (DE-588)4033856-3 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Starkes Feld (DE-588)4234583-2 gnd Zeitabhängige Schrödinger-Gleichung (DE-588)4190585-4 gnd Femtosekundenbereich (DE-588)4311267-5 gnd Elektromagnetische Strahlung (DE-588)4014297-8 gnd |
| subject_GND | (DE-588)4222149-3 (DE-588)4130722-7 (DE-588)4033856-3 (DE-588)4300046-0 (DE-588)4234583-2 (DE-588)4190585-4 (DE-588)4311267-5 (DE-588)4014297-8 |
| title | Theoretical femtosecond physics atoms and molecules in strong laser fields |
| title_auth | Theoretical femtosecond physics atoms and molecules in strong laser fields |
| title_exact_search | Theoretical femtosecond physics atoms and molecules in strong laser fields |
| title_exact_search_txtP | Theoretical femtosecond physics atoms and molecules in strong laser fields |
| title_full | Theoretical femtosecond physics atoms and molecules in strong laser fields F. Grossmann |
| title_fullStr | Theoretical femtosecond physics atoms and molecules in strong laser fields F. Grossmann |
| title_full_unstemmed | Theoretical femtosecond physics atoms and molecules in strong laser fields F. Grossmann |
| title_short | Theoretical femtosecond physics |
| title_sort | theoretical femtosecond physics atoms and molecules in strong laser fields |
| title_sub | atoms and molecules in strong laser fields |
| topic | Atomes ram Impulsions laser ultra-brèves ram Interactions photon-atome ram Laser pulses, Ultrashort Ultrakurzer Lichtimpuls (DE-588)4222149-3 gnd Laserimpuls (DE-588)4130722-7 gnd Kurzzeitphysik (DE-588)4033856-3 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Starkes Feld (DE-588)4234583-2 gnd Zeitabhängige Schrödinger-Gleichung (DE-588)4190585-4 gnd Femtosekundenbereich (DE-588)4311267-5 gnd Elektromagnetische Strahlung (DE-588)4014297-8 gnd |
| topic_facet | Atomes Impulsions laser ultra-brèves Interactions photon-atome Laser pulses, Ultrashort Ultrakurzer Lichtimpuls Laserimpuls Kurzzeitphysik Quantenmechanisches System Starkes Feld Zeitabhängige Schrödinger-Gleichung Femtosekundenbereich Elektromagnetische Strahlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016539119&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013270105 |
| work_keys_str_mv | AT großmannfrank theoreticalfemtosecondphysicsatomsandmoleculesinstronglaserfields |