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001 978-3-642-45082-2
003 DE-He213
005 20140220082522.0
007 cr nn 008mamaa
008 131128s2014 gw | s |||| 0|eng d
020 _a9783642450822
_9978-3-642-45082-2
024 7 _a10.1007/978-3-642-45082-2
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
082 0 4 _a530.12
_223
100 1 _aWaldenfels, Wilhelm.
_eauthor.
245 1 2 _aA Measure Theoretical Approach to Quantum Stochastic Processes
_h[electronic resource] /
_cby Wilhelm Waldenfels.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aXVII, 228 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v878
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 _aPhysics.
650 0 _aQuantum theory.
650 0 _aMathematical physics.
650 1 4 _aPhysics.
650 2 4 _aQuantum Physics.
650 2 4 _aMathematical Physics.
650 2 4 _aMathematical Methods in Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642450815
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v878
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-45082-2
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c93521
_d93521