Cargando…
A Measure Theoretical Approach to Quantum Stochastic Processes
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, w...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Colección: | Lecture Notes in Physics,
878 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-45082-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220120110959.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131128s2014 gw | s |||| 0|eng d | ||
| 020 | |a 9783642450822 |9 978-3-642-45082-2 | ||
| 024 | 7 | |a 10.1007/978-3-642-45082-2 |2 doi | |
| 050 | 4 | |a QC173.96-174.52 | |
| 072 | 7 | |a PHQ |2 bicssc | |
| 072 | 7 | |a SCI057000 |2 bisacsh | |
| 072 | 7 | |a PHQ |2 thema | |
| 082 | 0 | 4 | |a 530.12 |2 23 |
| 100 | 1 | |a Waldenfels, Wilhelm. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Measure Theoretical Approach to Quantum Stochastic Processes |h [electronic resource] / |c by Wilhelm Waldenfels. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2014. | |
| 300 | |a XVII, 228 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Physics, |x 1616-6361 ; |v 878 | |
| 505 | 0 | |a 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 -- Index. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Quantum physics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Quantum Physics. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642450815 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642450839 |
| 830 | 0 | |a Lecture Notes in Physics, |x 1616-6361 ; |v 878 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-45082-2 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 912 | |a ZDB-2-LNP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||