atomic physics and quantum mechanics
TRANSCRIPT
Atomic physics and Quantum mechanics
acompanying notes
Univ.-Prof. Dr. Enrico ArrigoniTU Graz - Austria
Version from: November 13, 2010
Students of the course515.300 “Atomphysik und Quantenmechanik fur ET/MB”can access a more complete version of the lecture notes
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Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 1 / 193
Content of this lecture
Content of this lecture
Mainly from S. M. Blinder “Introduction to Quantum Mechanics in
Chemistry, Materials Science, and Biology”
1 Introduction: atoms and electromagnetic waves
2 Failures of classical physicsBlackbody radiationPhotoelectric effectLine spectra
3 Wave and Particle dualityDouble-slit experimentLight carries momentum: Compton scatteringMatter (Electrons) as waves
4 Bohr’s atom
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 2 / 193
Content of this lecture
Content of this lecture
Mainly from S. M. Blinder “Introduction to Quantum Mechanics in
Chemistry, Materials Science, and Biology”
1 Introduction: atoms and electromagnetic waves
2 Failures of classical physicsBlackbody radiationPhotoelectric effectLine spectra
3 Wave and Particle dualityDouble-slit experimentLight carries momentum: Compton scatteringMatter (Electrons) as waves
4 Bohr’s atom
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 2 / 193
Content of this lecture
Content of this lecture
Mainly from S. M. Blinder “Introduction to Quantum Mechanics in
Chemistry, Materials Science, and Biology”
1 Introduction: atoms and electromagnetic waves
2 Failures of classical physicsBlackbody radiationPhotoelectric effectLine spectra
3 Wave and Particle dualityDouble-slit experimentLight carries momentum: Compton scatteringMatter (Electrons) as waves
4 Bohr’s atom
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 2 / 193
Content of this lecture
Content of this lecture
Mainly from S. M. Blinder “Introduction to Quantum Mechanics in
Chemistry, Materials Science, and Biology”
1 Introduction: atoms and electromagnetic waves
2 Failures of classical physicsBlackbody radiationPhotoelectric effectLine spectra
3 Wave and Particle dualityDouble-slit experimentLight carries momentum: Compton scatteringMatter (Electrons) as waves
4 Bohr’s atom
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 2 / 193
Content of this lecture
Content of this lecture
5 The wave function and Schrodinger equationEuristic derivation of Schrodinger equationTime-independent Schrodinger equationInterpretation of the wave functionSummary: Schrodinger equation
6 Quantum mechanics of some simple systemsFree particleParticle in a boxGeneralisations of the particle in a boxTunnel effectThree-dimensional box
7 Principles and Postulates of Quantum mechanicsPostulates of Quantum Mechanics
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 3 / 193
Content of this lecture
Content of this lecture
5 The wave function and Schrodinger equationEuristic derivation of Schrodinger equationTime-independent Schrodinger equationInterpretation of the wave functionSummary: Schrodinger equation
6 Quantum mechanics of some simple systemsFree particleParticle in a boxGeneralisations of the particle in a boxTunnel effectThree-dimensional box
7 Principles and Postulates of Quantum mechanicsPostulates of Quantum Mechanics
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 3 / 193
Content of this lecture
Content of this lecture
5 The wave function and Schrodinger equationEuristic derivation of Schrodinger equationTime-independent Schrodinger equationInterpretation of the wave functionSummary: Schrodinger equation
6 Quantum mechanics of some simple systemsFree particleParticle in a boxGeneralisations of the particle in a boxTunnel effectThree-dimensional box
7 Principles and Postulates of Quantum mechanicsPostulates of Quantum Mechanics
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 3 / 193
Content of this lecture
Content of this lecture
8 Angular momentum and electron spinFirst step: “particle on a ring”Second step: “particle on the surface of a sphere”Electron spin
9 The Hydrogen atomSchrodinger equation and separation of variablesQualitative solutionClassification of atomic orbitals
10 Many-electron atoms and the periodic tablePauli principleBuilding-up principleHund’s rule
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 4 / 193
Content of this lecture
Content of this lecture
8 Angular momentum and electron spinFirst step: “particle on a ring”Second step: “particle on the surface of a sphere”Electron spin
9 The Hydrogen atomSchrodinger equation and separation of variablesQualitative solutionClassification of atomic orbitals
10 Many-electron atoms and the periodic tablePauli principleBuilding-up principleHund’s rule
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 4 / 193
Content of this lecture
Content of this lecture
8 Angular momentum and electron spinFirst step: “particle on a ring”Second step: “particle on the surface of a sphere”Electron spin
9 The Hydrogen atomSchrodinger equation and separation of variablesQualitative solutionClassification of atomic orbitals
10 Many-electron atoms and the periodic tablePauli principleBuilding-up principleHund’s rule
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 4 / 193
Suggested literature
Suggested literature I
1 S. M. Blinder, Introduction to Quantum Mechanics in chemistry,
Material Science, and Biology
see also http://www.umich.edu/~chem461/
the class essentially based on this book
2 L. van Dommelen Fundamental Quantum Mechanics for
Engineers
notes available at http://www.eng.fsu.edu/~dommelen/quantum
3 J. E. House, Fundamentals of Quantum Chemistry
some mathematical aspects are treated in more detail here
4 P. W. Atkins, Physical Chemistry Chap. 2also a good book, many details and examples, many physical aspectsdiscussed.
5 P. A. Tipler and R. A. Llewellyn, Moderne Physik
simpler treatment
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 5 / 193
Suggested literature
Suggested literature II
6 J.J. Sakurai, Modern Quantum Mechanics
High level book
7 D. Ferry Quantum Mechanics: An Introduction for Device
Physicists and Electrical Engineer More advanced, special topics ofinterest for material physicists. Device physics, transport theory.
8 Appletshttp://www.quantum-physics.polytechnique.fr/en/index.html
Enrico Arrigoni (TU Graz) Atomic Physics and Quantum Mechanics WS 2009 6 / 193