By B. Fain
Provides a a theoretical and conceptual framework for the outline of irreversible phenomena in quantum mechanics. With purposes to precise actual types and simulations, and detailed consciousness given to reminiscence results in rest methods and dissipationless states in dissipative platforms.
Read Online or Download Irreversibilities in Quantum Mechanics (Fundamental Theories of Physics) PDF
Similar quantum theory books
This can be the 3rd, considerably multiplied variation of the great textbook released in 1990 at the thought and purposes of course integrals. it's the first ebook to explicitly resolve direction integrals of a large choice of nontrivial quantum-mechanical structures, specifically the hydrogen atom. The options became attainable by means of significant advances.
An advent to Quantum Physics. The M. I. T. Introductory Physics sequence
Das crucial bietet einen Überblick zur Entstehung der Quantenphysik, beginnend bei Plancks Formulierung des Strahlungsgesetzes über die Weiterentwicklung durch Albert Einstein bis hin zur modernen Quantenmechanik auf der foundation der Arbeiten von Heisenberg, Born und Jordan. Die am Fortschritt der modernen Quantenphysik beteiligten Wissenschaftler werden vorgestellt, ihre Theorien und die historischen Zusammenhänge ausführlich erläutert.
- Introductory Quantum Mechanics
- Introductory quantum mechanics
- Quantum: Einstein, Bohr and the Great Debate About the Nature of Reality
- Geometric Quantization and Quantum Mechanics
- Quantum mechanics. Volume I
- D-Brane: Superstrings and New Perspective of Our World
Additional resources for Irreversibilities in Quantum Mechanics (Fundamental Theories of Physics)
14), r << 1, are discussed in Appendix A to this chapter. It is clear from physical considerations that fast relaxation of the dissipative system would destroy the correlation created by the interaction between the dynamic and dissipative subsystems. s. of Eq. 1 1). The problem of the factorization approximation does not exist in the works of van Hove , Zwanzig [10,11], and Fain [20,21]. Van Hove and Zwanzig considered the relaxation dissipative system (the diagonal part of its density matrix while Fain derived equations for the diagonal in Greek indices part of the density matrix An important comment has to be made.
2). This Hamiltonian describes the system of interest, or dynamic system, whose Hamiltonian is E, interacting with the dissipative system - thermal bath - with Hamiltonian F + G. 14). 14) without the term is usually called the Redfield equation. This equation has certain limitations. (1) It has been derived in the weak coupling approximation, using only terms up to the second order of the interacting energy V. 17). 14) has been derived in the Markovian approximation. There is another approach to the irreversible processes which have been developed during the last decades [39-42].
However, a closer examination shows  that the two formulations are, in general, mutually exclusive, with the Redfield equations not conforming a completely positive semigroup. It does not mean that the Redfield equations of motion cannot preserve positivity for a certain subset of initial states. However, positivity cannot be satisfied for all initial states. A paper  of Suarez et al. provides concrete examples of solutions of the Redfield equations which break the positivity; that is, they lead to negative values for population probabilities.
Irreversibilities in Quantum Mechanics (Fundamental Theories of Physics) by B. Fain