Quantum Energy Levels and Classical Periodic Orbits: Discreteness and Statistical Duality
β Scribed by R. D. Connors; J. P. Keating
- Book ID
- 110363792
- Publisher
- Springer US
- Year
- 2001
- Tongue
- English
- Weight
- 148 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0015-9018
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We quantize graphs (networks) which consist of a finite number of bonds and vertices. We show that the spectral statistics of fully connected graphs is well reproduced by random matrix theory. We also define a classical phase space for the graphs, where the dynamics is mixing and the periodic orbits
We have used resonant tunnelling spectroscopy to investigate the energy level spectrum of a wide \(60 \mathrm{~nm}\) potential well with a strong magnetic field applied at an angle \(\theta\) to the normal to the barriers. In this geometry, the current-voltage characteristic \(I(V)\) reveal distinct