<電子ブック>
Open Quantum Systems and Feynman Integrals

責任表示
著者
本文言語
出版者
出版年
出版地
関連情報
概要 Every part of physics offers examples of non-stability phenomena, but probably nowhere are they so plentiful and worthy of study as in the realm of quantum theory. The present volume is devoted to thi...s problem: we shall be concerned with open quantum systems, i.e. those that cannot be regarded as isolated from the rest of the physical universe. It is a natural framework in which non-stationary processes can be investigated. There are two main approaches to the treatment of open systems in quantum theory. In both the system under consideration is viewed as part of a larger system, assumed to be isolated in a reasonable approximation. They are differentiated mainly by the way in which the state Hilbert space of the open system is related to that of the isolated system - either by orthogonal sum or by tensor product. Though often applicable simultaneously to the same physical situation, these approaches are complementary in a sense and are adapted to different purposes. Here we shall be concerned with the first approach, which is suitable primarily for a description of decay processes, absorption, etc. The second approach is used mostly for the treatment of various relaxation phenomena. It is comparably better examined at present; in particular, the reader may consult a monograph by E. B. Davies.続きを見る
目次 1
Quantum Kinematics of Unstable Systems
1.1. Is There Anything Left to Study on Unstable Systems?
1.2. Basic Notions
1.3. Small-Time Behaviour
1.4. The Inverse Decay Problem
1.5. Semiboundedness and Other Properties of the Energy Spectrum
1.6. Bounded-Energy Approximation
Notes to Chapter 1
2
Repeated Measurements on Unstable Systems
2.1. Decay Law in the Presence of Repeated Measurements
2.2. Periodically Structured Measuring Devices
2.3. A Model: Charged Kaons in a Bubble Chamber
2.4. Limit of Continual Observation and the 'Zeno's Paradox'
Notes to Chapter 2
3
Dynamics and Symmetries
3.1. Poles of the Reduced Resolvent
3.2. Friedrichs Model
3.3. Bounded Perturbations of Embedded Eigenvalues
3.4. Symmetries and Broken Symmetries
4
Pseudo-Hamiltonians
4.1. Pseudo-Hamiltonians and Quasi-Hamiltonians
4.2. Maximal Dissipative Operators
4.3. Schrödinger Pseudo-Hamiltonians
4.4. The Optical Approximation
4.5. Non-unitary Scattering Theory
Notes to Chapter 4
5
Feynman Path Integrals
5.1. The Integrals that are not Integrals: a Brief Survey
5.2. Feynman Maps on the Algebra ?(?)
5.3. Hilbert Spaces of Paths
5.4. Polygonal-Path Approximations
5.5. Product Formulae
5.6. More about Other F-Integral Theories
Notes to Chapter 5
6
Application to Schrödinger Pseudo-Hamiltonians
6.1. Feynman-Cameron-Itô Formu la
6.2. The Damped Harmonic Oscillator
6.3. The 'Feynman Paths'
Notes to Chapter 6
Selected Problems.
続きを見る
本文を見る Full text available from SpringerLink ebooks - Physics and Astronomy (Archive)

詳細

レコードID
主題
SSID
eISBN
登録日 2020.06.27
更新日 2020.06.28