Quantum Theory and Its Stochastic Limit
1 edition
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Word Count
123,250 words, Guess
Page Count
493 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL9057256M
- ISBN-139783540419280
- ISBN-103540419284
- OCLC Control Number47767056
- OCLC Control Numberquantumtheoryits00acca
and 2 more
- Library of Congress Control Number2001049456
- Goodreads2953548
Classifications
- LCCQC174.17.S76 A33 2002
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 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.
Subjects
Topics
Other Editions
- Quantum Theory and Its Stochastic Limit
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