Mean-Field Limit and Semiclassical Expansion of a Quantum Particle System
โ Scribed by Federica Pezzotti; Mario Pulvirenti
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 719 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1424-0637
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The optimized expansion for the effective action in quantum field theory is discussed to second order. As an example we use the scalar quantum field theory with \(\lambda \phi^{4}\) interaction in one-dimensional space-time, which is equivalent to quantum mechanics of the anharmonic ascillator. The
The solution of the SchrOdinger equation for a boson field interacting with a quantum particle is written as an expectation on a Poisson process counting the variations of the boson-oceupation numbers for each momentum. An energy cut-off is needed for the expectation to be meaningful.