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Contents

Introduction

QUANTUM MECHANICS

1 Quantum Mechanics

2 Experimental foundations
2.1 Black-body radiation
2.2 Photoelectric effect
2.3 Compton effect

3 Stationary states
3.1 Stationary States
3.2 Wave-particle duality
3.3 Uncertainty relations
3.4 The wave function
3.5 The Schrödinger equation
3.6 Central potentials
3.7 The potential barrier, tunnel effect

4 Time dependent Schrödinger equation
4.1 Solutions of the time dependent Schrödinger equation
4.2 Perturbation theory
4.3 Transition probabilities and selection rules
4.4 Radiative transitions

5 Formal quantum mechanics
5.1 Formal quantum mechanics. Operators
5.2 Measurement in quantum mechanics

6 Central potential. The hydrogen atom
6.1 Angular momentum
6.2 The hydrogen atom
6.3 Electron spin
6.4 Quantum mechanical analysis of the spectrum of the H atom. Spin-orbit coupling
6.5 Spin-orbit coupling
6.6 The structure of atoms
6.7 He atom. Independent particle model. Pauli exclusion principle

7 Electron structure of atoms
7.1 The periodic table of elements
7.2 Hund's rules
7.3 Valence electrons
7.4 X-ray emission

8 Molecules
8.1 H2+ - The hydrogen molecule ion
8.2 Diatomic homonuclear molecules. Molecular orbitals. Chemical bond
8.3 Heteronuclear molecules
8.4 Polyatomic molecules
8.5 Hydrocarbon molecules. Hybridization
8.6 Rotation and vibration of molecules

9 Statistical physics
9.1 Statistical equilibrium
9.2 Maxwell-Boltzmann distribution
9.3 Quantum statistics
9.4 Fermi-Dirac distribution
9.5 Bose-Einstein distribution

10 Interaction of light and matter
10.1 Photon gas
10.2 Interaction of light and matter
10.3 Laser operation

SOLID STATE PHYSICS

11 Fundamentals
11.1 Categorization of Solids
11.2 Bonding in crystals
11.3 Crystal structures, unit cells and lattices
11.4 Symmetries. Bravais lattices
11.5 The Wigner-Seitz cell
11.6 Non-ideal crystals. Crystal defects

12 Determination of crystal structures by X-ray diffraction
12.1 Reciprocal lattice. Miller indices
12.2 Determination of crystal lattices by X- ray diffraction. Bragg and Laue formulas
12.3 X-ray diffraction methods

13 Theory of lattice vibrations
13.1 Monatomic linear chain, phonons
13.2 Diatomic linear chain. Optical and acoustical branches of the dispersion relation
13.3 Three dimensional lattices
13.4 Specific heat of lattice vibrations
13.5 Debye model
13.6 Specific heat of metals

14 Electrical properties
14.1 Conductors and insulators. Band theory of solids
14.2 The Drude model
14.3 The Sommerfeld model of metals
14.4 Work function, thermionic emission and contact potential

15 Electrons in conductors
15.1 Quantum mechanics of electrons in periodic lattices. Adiabatic principle. Brillouin-zone. Bloch functions
15.2 Crystal momentum of Bloch electrons. Dispersion relations
15.3 Kinematics of electrons. Effective mass
15.4 Width of the energy bands. Tight binding model.
15.5 Conduction of metals. Electrons and Holes

16 Semiconductors 274
16.1 Homogeneous semiconductors. Charge carrier concentrations. Donors and acceptors
16.2 Semiconductor structures. The p-n junction. Applications
16.3 Metal-semiconductor junctions

17 Superconductivity
17.1 Superconductivity

18 Optical properties
18.1 Optical properties. X-ray emission and absorption
18.2 Emission and absorption of visible light by solids. Luminescence and phosphorescence

19 Magnetism
19.1 Magnetic susceptibility
19.2 Types of magnetism
19.3 Magnetism of free atoms
19.4 Diamagnetism
19.5 Pauli paramagnetism of metals
19.6 Paramagnetism of independent atomic moments
19.7 Ferromagnetism
19.8 Antiferromagets
19.9 Ferrimagnetism

20 Dielectric properties of solids
20.1 Induced polarization
20.2 Orientation polarization
20.3 Solid Dielectrics
20.4 Application of the oscillator model
20.5 Non-linear effects

21 Appendices

APPENDICES
22 Quantum Mechanics
22.1 Measurement of the electromagnetic spectrum by a spectrometer
22.2 The spread of a wave pocket in time
22.3 Derivation of the Compton formula
22.4 Uncertainty relations for a wave packet
22.5 The linear harmonic oscillator - Analitical solution
22.6 The linear harmonic oscillator - Ladder operators
22.7 1 dimensional potential well
22.8 Derivation of Perturbation theory formulas
22.9 The operator of the angular momentum and its z component in spherical polar coordinates
22.10 Russel-Sounders (LS) and jj coupling of angular momenta. Effects on the electronic structure of atoms
22.11 Other type of hybridization: sp2 and sp
22.12 Conjugated molecules
22.13 Calculating the maximum probability partition of the Maxwell-Boltzmann distribution
22.14 Superfluidity in helium 4.
23 Solid State Physics
23.1 The origin of van der Waals forces
23.2 Examps of Bravais lattices
23.3 X-ray diffraction methods Laue-, rotating crystal and Debye-Scherrer methods
23.4 Classical linear chain models of lattice vibrations
23.5 Mathematical note: From summation to integration
23.6 Derivation of the Bloch function
23.7 Kinetic energy of a Bloch electron
23.8 Tight-binding Bloch function
23.9 The explanation of the mass action law for semiconductors
23.10 Fabrication of Si based integrated circuits
23.11 Determination of nc(x) and pv(x) in a p-n structure
23.12 Temperature dependent resistivity of materials
23.13 The explanation of the color of gold
23.14 Derivation of the Larmor formula
23.15 Calculating the Pauli paramagnetic moment of metals
23.16 Derivation of the orientation polarization
23.17 Determination of the local electric field E loc

Index

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Review

The Master Course Physics 3 for Electrical Engineers is an introductory lecture to the fundamental concepts of modern physics. The basis of the (non-relativistic) Quantum Mechanics and Solid State Physics are presented. As both of these topics are very broad the material is restricted to those areas which have the greatest practical importance. The physical content, the mathematics used and the method of presentation are all tailored for the needs and knowledge of electrical engineers. Appendices give the reader an opportunity to see the details of the theories presented more deeply.

Forrás: BME Tankönyvtár

http://tankonyvtar.ttk.bme.hu/allbooksp2.jsp?bookId=126

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