Displaying similar documents to “Regular and chaotic regimes in scalar field cosmology.”

On the quantal nature of the Coulomb field

Andrzej Staruszkiewicz (1997)

Banach Center Publications

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It is shown that the total electric charge, as determined from the Gauss law, is a quantum object. The argument is based on elementary considerations concerning the number of photons, which should be large in a classical situation.

Effective Evolution Equations in Quantum Physics

Benjamin Schlein (2011)

Journées Équations aux dérivées partielles

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In these notes, we review some recent mathematical results concerning the derivation of effective evolution equations from many body quantum mechanics. In particular, we discuss the emergence of the Hartree equation in the so-called mean field regime (for example, for systems of gravitating bosons), and we show that the Gross-Pitaevskii equation approximates the dynamics of initially trapped Bose-Einstein condensates. We explain how effective evolution equations can be derived, on the...