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Cover: 9783540309918 | Open Quantum Systems I | The Hamiltonian Approach | Attal (u. a.)
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Open Quantum Systems I
The Hamiltonian Approach
Taschenbuch von Stéphane Attal (u. a.)
Sprache: Englisch

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Beschreibung
This is the ?rst in a series of three volumes dedicated to the lecture notes of the Summer School ¿Open Quantum Systems¿ which took place at the Institut Fourier in Grenoble from June 16th to July 4th 2003. The contributions presented in these volumes are revised and expanded versions of the notes provided to the students during the School. Closed vs. Open Systems By de?nition, the time evolution of a closed physical systemS is deterministic. It is usually described by a differential equation x ? = X(x ) on the manifold M of t t possible con?gurations of the system. If the initial con?guration x ? M is known 0 then the solution of the corresponding initial value problem yields the con?guration x at any future time t. This applies to classical as well as to quantum systems. In the t classical case M is the phase space of the system and x describes the positions and t velocities of the various components (or degrees of freedom) ofS at time t. Inthe quantum case, according to the orthodoxinterpretation of quantum mechanics, M is a Hilbert space and x a unit vector ¿ the wave function ¿ describing the quantum t state of the system at time t. In both cases the knowledge of the state x allows t to predict the result of any measurement made onS at time t.
This is the ?rst in a series of three volumes dedicated to the lecture notes of the Summer School ¿Open Quantum Systems¿ which took place at the Institut Fourier in Grenoble from June 16th to July 4th 2003. The contributions presented in these volumes are revised and expanded versions of the notes provided to the students during the School. Closed vs. Open Systems By de?nition, the time evolution of a closed physical systemS is deterministic. It is usually described by a differential equation x ? = X(x ) on the manifold M of t t possible con?gurations of the system. If the initial con?guration x ? M is known 0 then the solution of the corresponding initial value problem yields the con?guration x at any future time t. This applies to classical as well as to quantum systems. In the t classical case M is the phase space of the system and x describes the positions and t velocities of the various components (or degrees of freedom) ofS at time t. Inthe quantum case, according to the orthodoxinterpretation of quantum mechanics, M is a Hilbert space and x a unit vector ¿ the wave function ¿ describing the quantum t state of the system at time t. In both cases the knowledge of the state x allows t to predict the result of any measurement made onS at time t.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
to the Theory of Linear Operators.- to Quantum Statistical Mechanics.- Elements of Operator Algebras and Modular Theory.- Quantum Dynamical Systems.- The Ideal Quantum Gas.- Topics in Spectral Theory.
Details
Erscheinungsjahr: 2006
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xvi
329 S.
ISBN-13: 9783540309918
ISBN-10: 3540309918
Sprache: Englisch
Herstellernummer: 11602606
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Redaktion: Attal, Stéphane
Pillet, Claude-Alain
Joye, Alain
Herausgeber: Stéphane Attal/Alain Joye/Claude-Alain Pillet
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 20 mm
Von/Mit: Stéphane Attal (u. a.)
Erscheinungsdatum: 07.06.2006
Gewicht: 0,534 kg
Artikel-ID: 102254661
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
to the Theory of Linear Operators.- to Quantum Statistical Mechanics.- Elements of Operator Algebras and Modular Theory.- Quantum Dynamical Systems.- The Ideal Quantum Gas.- Topics in Spectral Theory.
Details
Erscheinungsjahr: 2006
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xvi
329 S.
ISBN-13: 9783540309918
ISBN-10: 3540309918
Sprache: Englisch
Herstellernummer: 11602606
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Redaktion: Attal, Stéphane
Pillet, Claude-Alain
Joye, Alain
Herausgeber: Stéphane Attal/Alain Joye/Claude-Alain Pillet
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 20 mm
Von/Mit: Stéphane Attal (u. a.)
Erscheinungsdatum: 07.06.2006
Gewicht: 0,534 kg
Artikel-ID: 102254661
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