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000696652 020__ $$a9783642450822 (eBook)
000696652 020__ $$a3642450822 (eBook)
000696652 020__ $$z9783642450815
000696652 0247_ $$a10.1007/978-3-642-45082-2$$2doi
000696652 035__ $$aSP(OCoLC)ocn869939293
000696652 035__ $$aSP(OCoLC)869939293
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000696652 049__ $$aISEA
000696652 050_4 $$aQC174.17.M4
000696652 08204 $$a530.1201/51542$$223
000696652 1001_ $$aWaldenfels, W. von$$q(Wilhelm),$$d1932-$$eauthor.
000696652 24512 $$aA measure theoretical approach to quantum stochastic processes$$h[electronic resource]  /$$cWilhelm von Waldenfels.
000696652 264_1 $$aHeidelberg :$$bSpringer,$$c2014.
000696652 300__ $$a1 online resource (xvii, 228 pages).
000696652 336__ $$atext$$btxt$$2rdacontent
000696652 337__ $$acomputer$$bc$$2rdamedia
000696652 338__ $$aonline resource$$bcr$$2rdacarrier
000696652 4901_ $$aLecture notes in physics,$$x0075-8450 ;$$vvolume 878
000696652 504__ $$aIncludes bibliographical references and index.
000696652 5050_ $$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.
000696652 506__ $$aAccess limited to authorized users.
000696652 520__ $$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.
000696652 588__ $$aDescription based on online resource; title from PDF title page (SpringerLink, viewed March 20, 2014).
000696652 650_0 $$aQuantum measure theory.
000696652 650_0 $$aQuantum statistics.
000696652 650_0 $$aStochastic processes$$xMathematical models.
000696652 830_0 $$aLecture notes in physics ;$$v878.$$x0075-8450
000696652 85280 $$bebk$$hSpringerLink
000696652 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-642-45082-2$$zOnline Access
000696652 909CO $$ooai:library.usi.edu:696652$$pGLOBAL_SET
000696652 980__ $$aEBOOK
000696652 980__ $$aBIB
000696652 982__ $$aEbook
000696652 983__ $$aOnline
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