Quantum Nanoelectronics

The influence of quantum mechanics on electronics, nanoelectronics and information theory, early quantum theory of radiation, Planck s radiation law, the photoelectric effect, spontaneous and induced emission, quantum properties of matter, the matter wave, the Schrödinger equation, the observability of physical quantities, expectation values of observables, eigenfunctions and eigenvalues of operators, stationary states, particle in square well potential, the one-dimensional harmonic oscillator, the hydrogen Atom, atoms, molecules, solids, nanostructures, the Hilbert space representation of states and observables, Dirac vectors, dynamics of quantum systems, the Schrödinger Representation, the Heisenberg representation, the Interaction representation, algebraic treatment of the harmonic oscillator, quantum information theory, the Einstein Podolsky Rosen experiment, entangled states, the quantization of the electromagnetic field, quantum theory of electric circuits, coherent states, interaction of radiation and matter, emission and absorption of radiation, the natural line width of an atom, quantum statistics, the density operator, the coherent state and the Poisson distribution, signal and noise, the characteristic function, photon field coupled to a reservoir of a two-level atom, laser theory, superconductivity, the Josephson effect, quantization of the JC circuit, quantum computing, basic operations in quantum computing, the no-cloning theorem, quantum teleportation

At the end of the module students are able to analyse effects of quantum mechananics in quantum nanoelectronics. They understand the relevance of nanoelectronics in information theory and information technology.

No prerequisites

Lerning method:
In addition to the individual methods of the students consolidated knowledge is aspired by repeated lessons in exercises and tutorials.

Teaching method:
During the lectures students are instructed in a teacher-centered style. The exercises are held in a student-centered way.

The following kinds of media are used:
- Presentations
- Lecture notes
- Exercises with solutions as download

The following literature is recommended:
- Additional reading material, class notes and useful web sources will be provided to the students by a sharepoint system

In an oral examination (25 minutes) students prove their understanding of nanoelectronics for information technology. By answering questions and performing calculations they show their ability to anlyze quantum mechanical effects on devices.