1.
Historical introduction to quantum mechanics
blackbody radiation, Wien displacement law, Boltzmann law, Planck’s formula, Einstein
contribution to description of blackbody radiation, photoelectric effect, Compton effect
2.
Waves as particles and particles
as waves
photon energy, photon momentum, energy

frequency dependence, matter waves, de Broglie
relation, Davisson

Germer experiment
3.
The Schrödinger equation
particles as waves
–
description of interference experiment, probabilistic interpretation of
wav
e functions, time

dependent
Schrödinger equation, representation of plane waves,
separation of Schrödinger equation, time

independent Schrödinger equation, eigenfunctions
and eigenvalues of the Hamiltonian, infinite quantum well, quantization of energy
4.
Wa
ve packets and the uncertainty principles
construction of wave packets, Heisenberg position

momentum uncertainty relation,
Heisenberg microscope, interpretation of two

slit experiment, time

energy uncertainty
relation and its consequences
5.
Barriers and we
lls
solution
of Schrödinger equation for
rectangular
potential barrier, tunneling: theory and
examples: alpha decay, nuclear fusion, scanning tunneling microscope STM, finite quantum
well

bound states, electron traps: nanocrystallites, quantum dots, quant
um corral
6.
Models of simple atoms
degenerate state, early models of atoms, Bohr theory of hydrogen atom, quantization of
angular momentum (one of the postulates), energy levels, interpretation of emission and
absorption spectra of atoms, correspondence pr
inciple
7.
Hydrogen atom in quantum mechanics
solution
of Schrödinger equation for central Coulomb potential, radial functions and spherical
harmonics, quantum numbers, energy eigenvalues for hydrogen, angular momentum, orbital
magnetic dipole moment, elect
ron spin,
application of theory:
Nuclear Magnetic Resonance
NMR
8.
Many particles
–
complex atoms
and molecules
multiparticle Schrödinger equation, independent particles, identic
al particles, symmetric and
anti
symmetric wave functions, fermions and bosons,
Pauli exclusion principle and
consequences, Fermi energy, periodic table, complex atoms, ordering of elements, simple
model of H
2
molecule, binding energy, chemical bonding, ionic crystals,
covalent bonding,
metals, van der Waals forces, hydrogen bonded cr
ystals, vibrational and rotational levels
9.
Statistical physics
classical gas: Maxwell distribution of molecular velocities, Boltzmann distribution, quantum
statistics: Fermi

Dirac and Bose

Einstein distribution functions, applications: specific heat of
el
ectrons in metals, Bose

Einstein condensation, liquid helium and superfluidity
10.
Electrical conductivity of solids
characterization of insulators, metals, semiconductors, band structure of solids, intrinsic and
extrinsic semiconductors, temperature
depende
nce
of the electrical conductivity, definition of
carrier mobility, mechanism of scattering, Matthiessen rule,
p

n junction, majority and
minority charge carriers, diffusion and drift currents, some basic applications of
semiconductors: junction rectifier,
light
–
emitting diode LED, field effect transistor FET
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