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Mean-Field Limit and Semiclassical Expansion of a Quantum Particle System

โœ Scribed by Federica Pezzotti; Mario Pulvirenti


Publisher
Springer
Year
2009
Tongue
English
Weight
719 KB
Volume
10
Category
Article
ISSN
1424-0637

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๐Ÿ“œ SIMILAR VOLUMES


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โœ A. Okopinska ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 768 KB

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

Quantum fields and poisson processes: In
โœ Jacqueline Bertrand; Bernard Gaveau; Guy Rideau ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Springer ๐ŸŒ English โš– 311 KB

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.