Open quantum systems and Feynman integrals
by Pavel Exner.
Bok Engelsk 1984 · Electronic books.
| Omfang | 1 online resource (XIX, 356 p.)
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| Utgave | 1st ed. 1985.
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| Opplysninger | Bibliographic Level Mode of Issuance: Monograph. - 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.. - 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 this 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.
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 94-009-5207-4
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