Introductory quantum mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading, Mass. [u.a.]
Addison-Wesley Publ.
1992
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 782 S. graph. Darst. |
| ISBN: | 0201547155 |
Internformat
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| 100 | 1 | |a Liboff, Richard L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introductory quantum mechanics |c Richard L. Liboff |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Reading, Mass. [u.a.] |b Addison-Wesley Publ. |c 1992 | |
| 300 | |a XVIII, 782 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Quantum theory | |
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Datensatz im Suchindex
| _version_ | 1804139088737992704 |
|---|---|
| adam_text | INrRODUC
ND EDIT
Cornell
AWisdh-Wesley Publicising Company
Reading, Massachusetts • Menlo Park, Californra~«-New York
Don Mills, Ontario • Wokingham, England • Amsterdam • Bonn • Sydney
Singapore • Tokyo • Madrid • San Juan • Milan • Paris
CONTENTS
Preface
PART I
Chapter 1
ELEMENTARY PRINCIPLES AND APPLICATIONS TO
PROBLEMS IN ONE DIMENSION 1
Review of Concepts of Classical Mechanics 3
1 1 Generalized or Good Coordinates 3
1 2 Energy, the Hamiltonian, and Angular Momentum 6
1 3 The State of a System 19
1 4 Properties of the One-Dimensional Potential Function 24
Chapter 2 Historical Review: Experiments and Theories 28
2 1 Dates 28
2 2 The Work of Planck Blackbody Radiation 29
2 3 The Work of Einstein The Photoelectric Effect 35
2 4 The Work of Bohr A Quantum Theory of Atomic States 38
2 5 Waves versus Particles 41
2 6 The de Broglie Hypothesis and the Davisson-Germer
Experiment 44
2 7 The Work of Heisenberg Uncertainty as a Cornerstone
of Natural Law 51
2 8 The Work of Born Probability Waves 53
2 9 Semiphilosophical Epilogue to Chapter 2 55
Chapter 3 The Postulates of Quantum Mechanics Operators,
Eigenfunctions, and Eigenvalues
3 1 Observables and Operators
3 2 Measurement in Quantum Mechanics-
3 3 The State Function and Expectation Values
3 4 Time Development of the State Function
3 5 Solution to the Initial-Value Problem in Quantum
Mechanics
Xii CONTENTS
Chapter 4 Preparatory Concepts Function Spaces and Hermitian
Operators 89
4 1 Particle in a Box and Further Remarks on
Normalization 89
4 2 The Bohr Correspondence Principle 94
4 3 Dirac Notation 96
4 4 Hilbert Space 97
4 5 Hermitian Operators 103
4 6 Properties of Hermitian Operators 107
Chapter 5 Superposition and Compatible Observables 113
5 1 The Superposition Principle 115
5 2 Commutator Relations in Quantum Mechanics 128
5 3 More on the Commutator Theorem 135
5 4 Commutator Relations and the Uncertainty Principle 138
5 5 Complete Sets of Commuting Observables 141
Chapter 6 Time Development, Conservation Theorems, and Parity 149
6 1 Time Development of State Functions 149
6 2 Time Development of Expectation Values 165
6 3 Conservation of Energy, Linear and Angular
Momentum 169
6 4 Conservation of Parity 173
Chapter 7 Additional One-Dimensional Problems Bound and
Unbound States 184
7 1 General Properties of the One-Dimensional
Schrodinger Equation 185
7 2 The Harmonic Oscillator 187
7 3 Eigenfunctions of the Harmonic Oscillator
Hamiltonian 195
7 4 The Harmonic Oscillator in Momentum Space 208
7 5 Unbound States 213
7 6 One-Dimensional Barrier Problems 220
7 7 The Rectangular Barrier Tunneling 226
7 8 The Ramsauer Effect 233
7 9 Kinetic Properties of a Wave Packet Scattered from a
Potential Barrier 238
CONTENTS Xiii
7 10 The WKB Approximation 241
7 11 Principle of Least Action and Feynman s Path Integral
Formulation 266
Chapter 8 Finite Potential Well, Periodic Lattice, and Some Simple
Problems with Two Degrees of Freedom • 275
8 1 The Finite Potential Well 275
8 2 Periodic Lattice Energy Gaps 286
8 3 Standing Waves at the Band Edges 304
8 4 Brief Qualitative Description of the Theory of
Conduction in Solids 311
8 5 Two Beads on a Wire and a Particle in a
Two-Dimensional Box 315
8 6 Two-Dimensional Harmonic Oscillator 321
8 7 Linear Combination of Atomic Orbitals Approximation
(LCAO) 328
8 8 Density of States in Various Dimensions 335
PART II FURTHER DEVELOPMENT OF THE THEORY AND
APPLICATIONS TO PROBLEMS IN THREE
DIMENSIONS 343
Chapter 9 Angular Momentum 345
9 1 Basic Properties 346
9 2 Eigenvalues of the Angular Momentum Operators 354
9 3 Eigenfunctions of the Orbital Angular Momentum
Operators L2 and L2 , 362
9 4 Addition of Angular Momentum 381
9 5 Total Angular Momentum for Two or More Electrons 390
Chapter 10 Problems in Three Dimensions
10 1 The Free Particle in Cartesian Coordinates
10 2 The Free Particle in Spherical Coordinates
10 3 The Free-Particle Radial Wavefunction
10 4 A Charged Particle in a Magnetic Field
10 5 The Two-Particle Problem
10 6 The Hydrogen Atom
10 7 Elementary Theory of Radiation
10 8 Thomas-Fermi Model
XIV CONTENTS
Chapter 11 Elements of Matrix Mechanics Spin Wavefunctions 467
11 1 Basis and Representations 468
11 2 Elementary Matrix Properties 475
11 3 Unitary and Similarity Transformations in Quantum
Mechanics 479
11 4 The Energy Representation 486
11 5 Angular Momentum Matrices 492
11 6 The Pauli Spin Matrices 500
11 7 Free-Particle Wavefunctions, Including Spin 505
11 8 The Magnetic Moment of an Electron 507
11 9 Precession of an Electron in a Magnetic Field 515
11 10 The Addition of Two Spins 524
11 11 The Density Matrix 531
11 12 Other Pictures in Quantum Mechanics 541
11 13 Polarization States EPR Revisited 546
Chapter 12 Application to Atomic, Molecular, Solid-State, and Nuclear
Physics Elements of Quantum Statistics 559
12 1 The Total Angular Momentum, J 560
12 2 One-Electron Atoms 564
12 3 The Pauli Principle 577
12 4 The Periodic Table 583
12 5 The Slater Determinant 592
12 6 Application of Symmetrization Rules to the Helium
Atom 596
12 7 The Hydrogen and Deuterium Molecule 604
12 8 Brief Description of Quantum Models for
Superconductivity and Superfluidity 612
12 9 Impurity Semiconductors 623
12 10 Elements of Nuclear Physics The Deuteron and Isospin 638
Chapter 13 Perturbation Theory 648
13 1 Time-Independent, Nondegenerate Perturbation
Theory 648
13 2 Time-Independent, Degenerate Perturbation Theory 659
13 3 The Stark Effect 667
13 4 The Nearly Free Electron Model 670
13 5 Time-Dependent Perturbation Theory 675
13 6 Harmonic Perturbation 678
CONTENTS XV
13 7 Application of Harmonic Perturbation Theory
13 8 Selective Perturbations in Time
13 9 Atom-Radiation Interaction
Chapter 14 Scattering in Three Dimensions
14 1 Partial Waves
14 2 5-Wave Scattering
14 3 Center-of-Mass Frame
14 4 The Born Approximation
14 5 Atomic-Radiative Absorption Cross Section
14 6 Elements of Formal Scattering Theory
The Lippmann-Schwinger Equation
List of
Symbols
Appendixes
A Additional Remarks on the x and p Representations
B Spin and Statistics
C Representations of the Delta Function
D Physical Constants and Equivalence Relations
Index 774
|
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| spelling | Liboff, Richard L. Verfasser aut Introductory quantum mechanics Richard L. Liboff 2. ed. Reading, Mass. [u.a.] Addison-Wesley Publ. 1992 XVIII, 782 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantentheorie Quantum theory Quantentheorie (DE-588)4047992-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Mathematische Physik (DE-588)4037952-8 s Quantentheorie (DE-588)4047992-4 s DE-604 Quantenmechanik (DE-588)4047989-4 s 2\p DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017535198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 |
| spellingShingle | Liboff, Richard L. Introductory quantum mechanics Quantentheorie Quantum theory Quantentheorie (DE-588)4047992-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047992-4 (DE-588)4037952-8 (DE-588)4047989-4 (DE-588)4151278-9 |
| title | Introductory quantum mechanics |
| title_auth | Introductory quantum mechanics |
| title_exact_search | Introductory quantum mechanics |
| title_full | Introductory quantum mechanics Richard L. Liboff |
| title_fullStr | Introductory quantum mechanics Richard L. Liboff |
| title_full_unstemmed | Introductory quantum mechanics Richard L. Liboff |
| title_short | Introductory quantum mechanics |
| title_sort | introductory quantum mechanics |
| topic | Quantentheorie Quantum theory Quantentheorie (DE-588)4047992-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantentheorie Quantum theory Mathematische Physik Quantenmechanik Einführung |
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