000 | 03075nam a22004815i 4500 | ||
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001 | 978-3-642-45082-2 | ||
003 | DE-He213 | ||
005 | 20190213151258.0 | ||
007 | cr nn 008mamaa | ||
008 | 131128s2014 gw | s |||| 0|eng d | ||
020 |
_a9783642450822 _9978-3-642-45082-2 |
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024 | 7 |
_a10.1007/978-3-642-45082-2 _2doi |
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050 | 4 | _aQC173.96-174.52 | |
072 | 7 |
_aPHQ _2bicssc |
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072 | 7 |
_aSCI057000 _2bisacsh |
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072 | 7 |
_aPHQ _2thema |
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082 | 0 | 4 |
_a530.12 _223 |
100 | 1 |
_aWaldenfels, Wilhelm von. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 2 |
_aA Measure Theoretical Approach to Quantum Stochastic Processes _h[electronic resource] / _cby Wilhelm von Waldenfels. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2014. |
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300 |
_aXVII, 228 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 Physics, _x0075-8450 ; _v878 |
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505 | 0 | _aWeyl Algebras -- Continuous Sets of Creation and Annihilation Operators -- One-Parameter Groups -- Four Explicitly Calculable One-Excitation Processes -- White Noise Calculus -- Circled Integrals -- White Noise Integration -- The Hudson-Parthasarathy Differential Equation -- The Amplifies Oscillator -- Approximation by Coloured Noise -- Index. | |
520 | _aThis monograph takes as starting point that abstract quantum stochastic processes can be understood as a quantum field theory in one space and in one time coordinate. As a result it is appropriate to represent operators as power series of creation and annihilation operators in normal-ordered form, which can be achieved using classical measure theory. Considering in detail four basic examples (e.g. a two-level atom coupled to a heat bath of oscillators), in each case the Hamiltonian of the associated one-parameter strongly continuous group is determined and the spectral decomposition is explicitly calculated in the form of generalized eigen-vectors. Advanced topics include the theory of the Hudson-Parthasarathy equation and the amplified oscillator problem. To that end, a chapter on white noise calculus has also been included. | ||
650 | 0 | _aQuantum theory. | |
650 | 0 | _aMathematical physics. | |
650 | 1 | 4 |
_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080 |
650 | 2 | 4 |
_aMathematical Physics. _0http://scigraph.springernature.com/things/product-market-codes/M35000 |
650 | 2 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642450815 |
776 | 0 | 8 |
_iPrinted edition: _z9783642450839 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v878 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-45082-2 |
912 | _aZDB-2-PHA | ||
912 | _aZDB-2-LNP | ||
999 |
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