Physics of Materials
- Describe basic concepts of quantum-mechanical pictures of matter.
- Apply approximative methods of quantum mechanics into desription of matter.
- Derive wave equation in three dimensions.
- Apply classical and quantum distributions.
- Analyze potentials and conductivity in crystall latice.
- Explain fermion pairing in BCS theory at low temperatures.
- Describe quantum theory of magnetism and its application in quantum metrology and quantum computers.
- Analyze electric and magnetic properties of materials in technology.
Forms of Teaching
Lectures with AV support. Scientific movies on related contemporary research. Simple experiments and demonstrations.Seminars and workshops
Individual presentations of special topics.Exercises
Examples and problem solutions.Independent assignments
Work on computer and knowledge in simulations, data handling, and searching on articles and solutions in quantum physics.Other
Attending lectures (P), solving examples and excercises (V) laboratory excercises (L) on lectures. Individual and/or group presentations of specific topics - seminars (S)
|Type||Threshold||Percent of Grade||Threshold||Percent of Grade|
|Homeworks||0 %||10 %||0 %||0 %|
|Class participation||0 %||10 %||0 %||0 %|
|Mid Term Exam: Written||0 %||40 %||0 %|
|Final Exam: Written||0 %||40 %|
|Exam: Written||0 %||40 %|
|Exam: Oral||40 %|
Week by Week Schedule
- Structure of matter at microscopic level. Crystal structure. Bragg law. Crystal lattices. Crystal symmetry.
- Schrödinger equation and specific potentials: infinite and finite potential well. Harmonic oscillator. Delta-function potential. Spherical potential well. Postulates of quantum mechanics.
- Schrödinger equation in 3 dimensions. Angular momentum. Solution for hydrogen atom. Quantum numbers. Pauli principle. Mathematical formalism of quantum mechanics.
- Continuity equation. Uncertainty relations. Potential step. Tunnel effect. WBK approximation. Field emission. Alpha decay.
- Atom and molecular bonding. Effective potentials. Ionic, covalent, metal and van der Waals bonds. Madelung constant.
- Classical and quantum statistical physics. Distribution and partition functions, density of states. Maxwell-Boltzmann distribution.
- Free electron gas. Fermi-Dirac distribution. Fermi energy, temperature, velocity and wave vector. Bose-Einstein distribution. Bose-Einstein condensation.
- Midterm exam
- Heat capacity of materials. Dulong-Petit law. Einstein crystal model. Debye crystal model. Heat expansion and heat conduction: classical and quantum approach.
- Dielectrics. Polarization mechanisms. Electric susceptibility. Lorentz field. Clausius-Mossotti relation. Polarization by orientation. Langevin function. Quantum-mechanical description of polarization.
- Dispersion of electromagnetic waves. Apsorption in dielectrics. Electric properties of conductors. Drude-Lorentz conduction theory. Free electron gas. Periodic potentials. Kronig-Penney model. Dirac comb.
- Energy bands. Brillouin zones. Effective mass. Density of states and carrier concentrations in conduction and valence bands. Electron mobility. Intrinsic semiconductors. Effective electron and hole concentrations. Fermi energy temperature dependence. Extrinsic semiconductors. Semiconductor elements.
- Magnetic properties of materials. Magnetic moment. Magnetic susceptibility. Diamagnetism. Electron spin. Pauli paramgnetism. Lande factor. Hundt rules. Ferromagnetism. Magnetic domains. Curie law. NMR.
- Superconductivity. Meissner effect. London equations. Penetration depth. Magnetic flux quantization. Cooper pairs. BCS theory of superconductivity. High temperature superconductivity.
- Final exam