ENGLISH

Quantum theory and its stochastic limit

By Luigi Accardi , Yun Gang Lu , Igor Volovich

Book information

Publisher
Springer
Year
2002
ISBN
9783540419280, 3540419284
Open Library ID
OL9057256M
Language
english
Format
DJVU
Filesize
9 MB (9745599 bytes)
Edition
1
Pages
246\246
Time added
2014-10-05 02:30:00

Description

The subject of this book is a new mathematical technique, the stochastic limit developed for solving nonlinear problems in quantum theory involving systems with infinitely many degrees of freedom (typically quantum fields or gases in the thermodynamic limit). This technique is condensed into some easily applied rules (called "stochastic golden rules") which allow us to single out the dominating contributions to the dynamical evolution of systems in regimes involving long times and small effects. In the stochastic limit the original Hamiltonian theory is approximated using a new Hamiltonian theory which is singular. These singular Hamiltonians still define a unitary evolution and the new equations give much more insight into the relevant physical phenomena than the original Hamiltonian equations. Especially, one can explicitly compute multi-time correlations (e.g. photon statistics) or coherent vectors, which are beyond the reach of typical asymptotic techniques.

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