000 | 04022nam a22005415i 4500 | ||
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001 | 978-3-540-33922-9 | ||
003 | DE-He213 | ||
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007 | cr nn 008mamaa | ||
008 | 100301s2006 gw | s |||| 0|eng d | ||
020 |
_a9783540339229 _9978-3-540-33922-9 |
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024 | 7 |
_a10.1007/b128449 _2doi |
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072 | 7 |
_aPBWR _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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_aPBWR _2thema |
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082 | 0 | 4 |
_a515.39 _223 |
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_a515.48 _223 |
245 | 1 | 0 |
_aOpen Quantum Systems I _h[electronic resource] : _bThe Hamiltonian Approach / _cedited by Stéphane Attal, Alain Joye, Claude-Alain Pillet. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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300 |
_aXVI, 329 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1880 |
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505 | 0 | _ato the Theory of Linear Operators -- to Quantum Statistical Mechanics -- Elements of Operator Algebras and Modular Theory -- Quantum Dynamical Systems -- The Ideal Quantum Gas -- Topics in Spectral Theory. | |
520 | _aUnderstanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements. | ||
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aDistribution (Probability theory. | |
650 | 0 | _aOperator theory. | |
650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
700 | 1 |
_aAttal, Stéphane. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aJoye, Alain. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aPillet, Claude-Alain. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540819080 |
776 | 0 | 8 |
_iPrinted edition: _z9783540309918 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1880 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b128449 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
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