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"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 rule") 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 multitime correlations (e.g. photon statistics) or coherent vectors, which are beyond the reach of typical asymptotic techniques, as well as deduce in the Hamiltonian framework the widely used stochastic Schrodinger equation and the master equation." "This monograph is well suited as a textbook in the emerging field of stochastic limit techniques in quantum theory."--Jacket.
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Previews available in: English
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1
Quantum Theory and Its Stochastic Limit
2013, Springer London, Limited
in English
3662049295 9783662049297
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2
Quantum Theory and Its Stochastic Limit
Dec 07, 2010, Springer, Springer Berlin Heidelberg
paperback
3642075436 9783642075438
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Quantum Theory and Its Stochastic Limit
September 17, 2002, Springer
Hardcover
in English
- 1 edition
3540419284 9783540419280
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