The picture book of quantum mechanics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2012
|
| Edition: | 4. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XVI, 472 S. graph. Darst. |
| ISBN: | 9781493936953 9781461439516 1461439507 9781461439509 |
Staff View
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Record in the Search Index
| _version_ | 1804151425109852160 |
|---|---|
| adam_text | Contents
Preface
to the Fourth
Edition ....................
v
Foreword
................................
vii
1
Introduction
............................ 1
1.1
The Photoelectric Effect
................... 2
1.2
The Compton Effect
..................... 4
1.3
The Diffraction of Electrons
................. 6
1.4
The Stern—Gerlach Experiment
............... 7
2
Light Wavess
............................ 11
2.1
Harmonic Plane Waves, Phase Velocity
........... 11
2.2
Light Wave Incident on a Glass Surface
........... 15
2.3
Light Wave Traveling through a Glass Plate
........ 18
2.4
Free Wave Packet
...................... 20
2.5
Wave Packet Incident on a Glass Surface
.......... 25
2.6
Wave Packet Traveling through a Glass Plate
........ 30
3
Probability Waves of Matter
................... 32
3.1
de Broglie
Waves
...................... 32
3.2
Wave Packet, Dispersion
................... 32
3.3
Probability Interpretation, Uncertainty Principle
...... 37
3.4
The
Schrödinger
Equation
.................. 46
3.5
Bivariate Gaussian Probability Density
........... 47
3.6
Comparison with a Classical Statistical Description
.... 50
4
Solution of the
Schrödinger
Equation in One Dimension
... 56
4.1
Separation of Time and Space Coordinates,
Stationary Solutions
..................... 56
4.2
Stationary Scattering Solutions: Piecewise Constant Potential
58
4.3
Stationary Scattering Solutions: Linear Potentials
..... 68
4.4
Stationary Bound States
................... 72
xiii
xiv Contents
5
One-Dimensional
Quantum
Mechanics:
Scattering by a Potential
..................... 78
5.1
Sudden Acceleration and Deceleration of a Particle
.... 78
5.2
Sudden Deceleration of a Classical Phase-Space Distribution
83
5.3
Tunnel Effect
........................ 85
5.4
Excitation and Decay of Metastable States
......... 86
5.5
Stationary States of Sharp Momentum
........... 91
5.6
Free Fall of a Body
..................... 97
5.7
Scattering by a Piecewi
se
Linear Potential
......... 102
6
One-Dimensional Quantum Mechanics:
Motion within a Potential, Stationary Bound States
......
Ill
6.1
Spectrum of a Deep Square Well
..............
Ill
6.2
Particle Motion in a Deep Square Well
........... 112
6.3
Spectrum of the Harmonic-Oscillator Potential
....... 116
6.4
Harmonic Particle Motion
.................. 119
6.5
Harmonic Motion of a Classical Phase-Space Distribution
. 126
6.6
Spectra of Square-Well Potentials of Finite Depths
..... 129
6.7
Stationary Bound States in Piecewise Linear Potentials
. . 131
6.8
Periodic Potentials, Band Spectra
.............. 133
7
Quantile Motion in One Dimension
............... 141
7.1
Quantile Motion and Tunneling
............... 141
7.2
Probability Current, Continuity Equation
.......... 143
7.3
Probability Current Densities of Simple Examples
..... 147
7.4
Differential Equation of the Quantile Trajectory
...... 149
7.5
Error Function
........................ 149
7.6
Quantile Trajectories for Simple Examples
......... 150
7.7
Relation to Bohm s Equation of Motion
........... 153
8
Coupled Harmonic Oscillators: Distinguishable Particles
... 157
8.1
The Two-Particle Wave Function
.............. 157
8.2
Coupled Harmonic Oscillators
............... 159
8.3
Stationary States
....................... 167
9
Coupled Harmonic Oscillators: Indistinguishable Particles
. . 170
9.1
The Two-Particle Wave Function
for Indistinguishable Particles
................ 170
9.2
Stationary States
....................... 173
9.3
Motion of Wave Packets
................... 174
9.4
Indistinguishable Particles from a Classical Point of View
. 175
Contents xv
10
Wave
Packet in
Three Dimensions
................ 185
ЮЛ
Momentum
.......................... 185
10.2
Quantile Motion, Probability Transport
........... 187
10.3
Angular Momentum, Spherical Harmonics
......... 191
10.4
Means and Variances of the Components
of Angular Momentum
................... 199
10.5
Interpretation of the Eigenfunctions of Angular Momentum
201
10.6 Schrödinger
Equation
.................... 208
10.7
Solution of the
Schrödinger
Equation of Free Motion
... 210
10.8
Spherical Bessel Functions
................. 210
10.9
Harmonic Plane Wave in
Angular-Momentum Representation
............ 214
10.10
Free Wave Packet and Partial-Wave Decomposition
.... 218
11
Solution of the
Schrödinger
Equation in Three Dimensions
. . 225
11.1
Stationary Scattering Solutions
............... 226
11.2
Stationary Bound States
................... 229
12
Three-Dimensional Quantum Mechanics:
Scattering by a Potential
..................... 232
12
Л
Diffraction of a Harmonic Plane Wave. Partial Waves
. . . 232
12.2
Scattered Wave and Scattering Cross Section
........ 234
12.3
Scattering Phase and Amplitude, Unitarity, Argand Diagrams
244
13
Three-Dimensional Quantum Mechanics: Bound States
.... 251
13.1
Bound States in a Spherical Square-Well Potential
..... 251
13.2
Bound States of the Spherically Symmetric
Harmonic Oscillator
..................... 257
13.3
Harmonic Particle Motion in Three Dimensions
...... 265
13.4
The Hydrogen Atom
..................... 267
13.5
Kepler Motion in Quantum Mechanics
........... 282
14
Hybridization
........................... 294
14.1
Introduction
......................... 294
14.2
The Hybridization Model
.................. 297
14.3
Highly Symmetric Hybrid States
.............. 302
15
Three-Dimensional Quantum Mechanics: Resonance Scattering
311
15.1
Scattering by Attractive Potentials
............. 311
15.2
Resonance Scattering
.................... 314
15.3
Phase-Shift Analysis
..................... 314
15.4
Bound States and Resonances
................ 322
15.5
Resonance Scattering by a Repulsive Shell
......... 325
xvi Contents
16 Coulomb
Scattering
........................ 337
16.1
Stationary
Solutions..................... 337
16.2
Hyperbolic Kepler Motion: Scattering of a
Gaussian Wave Packet by a Coulomb Potential
....... 346
17
Spin
................................. 353
17.1
Spin States, Operators and Eigenvalues
........... 353
17.2
Directional Distribution of Spin
............... 355
17.3
Motion of Magnetic Moments in a Magnetic Field.
Pauli
Equation
........................ 359
17.4
Magnetic Resonance.
Rabi s
Formula
............ 363
17.5
Magnetic Resonance in a Rotating Frame of Reference
. . 369
18
Examples from Experiment
................... 373
18.1
Scattering of Atoms, Electrons, Neutrons, and
Pions
.... 374
18.2
Spectra of Bound States in Atoms, Nuclei, and Crystals
. . 377
18.3
Shell-Model Classification of Atoms and Nuclei
...... 380
18.4
Resonance Scattering off Molecules, Atoms, Nuclei,
and Particles
......................... 387
18.5
Phase-Shift Analysis in Nuclear and Particle Physics
. ... 391
18.6
Classification of Resonances on
Regge
Trajectories
.... 393
18.7
Radioactive Nuclei as Metastable States
.......... 395
18.8
Magnetic-Resonance Experiments
............. 396
A Simple Aspects of the Structure of Quantum Mechanics
.... 413
A.I Wave Mechanics
....................... 413
A.2 Matrix Mechanics in an Infinite Vector Space
........ 415
A.3 Matrix Representation of the Harmonic Oscillator
..... 419
A.
4
Time-Dependent
Schrödinger
Equation
........... 421
A.
5
Probability Interpretation
.................. 423
В
Two-Level System
......................... 425
С
Analyzing Amplitude
....................... 430
C.I Classical Considerations: Phase-Space Analysis
...... 430
C.2 Analyzing Amplitude: Free Particle
............. 434
C.3 Analyzing Amplitude: General Case
............ 439
C.4 Analyzing Amplitude: Harmonic Oscillator
......... 439
D
Wigner Distribution
........................ 446
E
Gamma Function
......................... 450
F Bessel
Functions and Airy Functions
.............. 455
G Poisson
Distribution
.................... 460
.................................. 465
Siegmund Brandt · Hans Dieter Dahmen
The Picture Book of Quantum Mechanics
4th Edition
The aim
oť
this hook is to explain the basic concepts and phenomena of quantum mechanics by
means of visualization. Computer-generated illustrations in color are used extensively through¬
out the text, helping to establish the relation between quantum mechanics
—
wave functions,
interference, atomic structure, and so forth
—
and classical physics
—
point mechanics, statistical
mechanics, and wave optics. Even more important, by studying the pictures in parallel with the
text, readers develop an intuition for such notoriously abstract phenomena as
•
the tunnel effect
•
excitation and decay of metastable states
•
wave-packet motion within a well
•
systems of distinguishable and indistinguishable particles
•
free wave packets and scattering in
3
dimensions
•
angular-momentum decomposition
•
stationary bound states in various 3-dimensional potentials
•
hybrid states
•
Kepler motion of wave packets in the Coulomb field
•
spin and magnetic resonance
Illustrations from experiments in a variety of fields, including chemistry, and molecular, atomic,
nuclear, and particle physics, underline the basic as well as the practical importance of quantum
mechanics.
In the present, fourth edition all computer graphics are presented in full color. It also contains
additional physics topics such as hybridization.
Praise for Previous Editions
The book is highly recommended as a complement to any standard textbook in quantum me¬
chanics, but it will also be valuable to all of us who studied quantum mechanics without the
pictures.
—
International Journal oj Quantum Chemistry
This book wouid be an excellent basis for the study of special topics in a quantum physics
course. Most serious students of physics and all of their teachers will want to consider having
this orderly and graphic outline of introductory quantum theory at their fingertips.
—
American
Journal of Physics
Their aim is the presentation of the principal ideas of wave mechanics in such a way that stu¬
dents can build a quantum intuition out of their graphics.
—
Scientific American
This is a unique book. It does not provide a complete course in quantum theory, but as a com¬
panion work of reference it should be quite useful to students in providing insights into the
dynamical structure of the theorv.
—
Sature
Physics
ISBN
978-1-4614-3950-9
781461
►
springer.com
III
439509
MATERIALS
extras.springer.com
|
| any_adam_object | 1 |
| author | Brandt, Siegmund 1936-2016 Dahmen, Hans Dieter 1936-2023 |
| author_GND | (DE-588)137314329 (DE-588)13246764X |
| author_facet | Brandt, Siegmund 1936-2016 Dahmen, Hans Dieter 1936-2023 |
| author_role | aut aut |
| author_sort | Brandt, Siegmund 1936-2016 |
| author_variant | s b sb h d d hd hdd |
| building | Verbundindex |
| bvnumber | BV041348215 |
| classification_rvk | UK 1000 |
| ctrlnum | (OCoLC)811587711 (DE-599)GBV727544632 |
| discipline | Physik |
| edition | 4. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T00:54:36Z |
| institution | BVB |
| isbn | 9781493936953 9781461439516 1461439507 9781461439509 |
| language | English |
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| publisher | Springer |
| record_format | marc |
| spelling | Brandt, Siegmund 1936-2016 Verfasser (DE-588)137314329 aut The picture book of quantum mechanics Siegmund Brandt ; Hans Dieter Dahmen 4. ed. New York, NY [u.a.] Springer 2012 XVI, 472 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computergrafik (DE-588)4010450-3 gnd rswk-swf Grafische Darstellung (DE-588)4129552-3 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s Grafische Darstellung (DE-588)4129552-3 s DE-604 Computergrafik (DE-588)4010450-3 s 2\p DE-604 3\p DE-604 Dahmen, Hans Dieter 1936-2023 Verfasser (DE-588)13246764X aut Erscheint auch als Online-Ausgabe 10.1007/978-1-4614-3951-6 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=026796840&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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=026796840&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Brandt, Siegmund 1936-2016 Dahmen, Hans Dieter 1936-2023 The picture book of quantum mechanics Computergrafik (DE-588)4010450-3 gnd Grafische Darstellung (DE-588)4129552-3 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4010450-3 (DE-588)4129552-3 (DE-588)4047989-4 (DE-588)4123623-3 |
| title | The picture book of quantum mechanics |
| title_auth | The picture book of quantum mechanics |
| title_exact_search | The picture book of quantum mechanics |
| title_full | The picture book of quantum mechanics Siegmund Brandt ; Hans Dieter Dahmen |
| title_fullStr | The picture book of quantum mechanics Siegmund Brandt ; Hans Dieter Dahmen |
| title_full_unstemmed | The picture book of quantum mechanics Siegmund Brandt ; Hans Dieter Dahmen |
| title_short | The picture book of quantum mechanics |
| title_sort | the picture book of quantum mechanics |
| topic | Computergrafik (DE-588)4010450-3 gnd Grafische Darstellung (DE-588)4129552-3 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Computergrafik Grafische Darstellung Quantenmechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026796840&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026796840&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT brandtsiegmund thepicturebookofquantummechanics AT dahmenhansdieter thepicturebookofquantummechanics |