The Resource A measure theoretical approach to quantum stochastic processes, Wilhelm von Waldenfels

A measure theoretical approach to quantum stochastic processes, Wilhelm von Waldenfels

Label
A measure theoretical approach to quantum stochastic processes
Title
A measure theoretical approach to quantum stochastic processes
Statement of responsibility
Wilhelm von Waldenfels
Creator
Author
Subject
Genre
Language
eng
Summary
This 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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1932-
http://library.link/vocab/creatorName
Waldenfels, W. von
Dewey number
530.1201/51542
Index
index present
LC call number
QC174.17.M4
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in physics,
Series volume
volume 878
http://library.link/vocab/subjectName
  • Quantum measure theory
  • Quantum statistics
  • Stochastic processes
  • Physique
  • Astronomie
  • Quantum measure theory
  • Quantum statistics
  • Stochastic processes
Label
A measure theoretical approach to quantum stochastic processes, Wilhelm von Waldenfels
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-642-45082-2
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Weyl 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
Dimensions
unknown
Extent
1 online resource (xvii, 228 pages).
File format
unknown
Form of item
online
Isbn
9783642450822
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-642-45082-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)869939293
  • (OCoLC)ocn869939293
Label
A measure theoretical approach to quantum stochastic processes, Wilhelm von Waldenfels
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-642-45082-2
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Weyl 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
Dimensions
unknown
Extent
1 online resource (xvii, 228 pages).
File format
unknown
Form of item
online
Isbn
9783642450822
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-642-45082-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)869939293
  • (OCoLC)ocn869939293

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