Download Classical And Quantum Dissipative Systems by Mohsen Razavy PDF

By Mohsen Razavy

This publication discusses matters linked to the quantum mechanical formula of dissipative platforms. It starts off with an introductory evaluate of phenomenological damping forces, and the development of the Lagrangian and Hamiltonian for the damped movement. it truly is proven, as well as those equipment, that classical dissipative forces is also derived from solvable many-body difficulties. an in depth dialogue of those derived forces and their dependence on dynamical variables is additionally provided. the second one a part of this publication investigates using classical formula within the quantization of dynamical platforms lower than the effect of dissipative forces. the consequences convey that, whereas a passable method to the matter can't be chanced on, various formulations signify assorted approximations to the full answer of 2 interacting platforms. The 3rd and ultimate a part of the booklet makes a speciality of the matter of dissipation in interacting quantum mechanical structures, in addition to the relationship of a few of those versions to their classical opposite numbers. a couple of very important purposes, equivalent to the speculation of heavy-ion scattering and the movement of a radiating electron, also are mentioned.

Show description

Read Online or Download Classical And Quantum Dissipative Systems PDF

Best quantum physics books

Quantum mechanics in Hilbert space

A rigorous and demanding presentation of the fundamental arithmetic of nonrelativistic quantum mechanics, this article is acceptable for classes in practical research on the complicated undergraduate and graduate degrees. Its readable and self-contained shape is on the market even to scholars with no an in depth mathematical historical past.

Quantum Chromodynamics

This quantity includes the Lectures added on the X G. I. F. T. * overseas Seminar on Theoretical Physics at the topic ''Quantum Chromodynamics'' which was once held at Jaca, Huesca, (Spain) in June 1979. the academics have been J. Bartels, H. Fritzsch, H. Leutwyler, H. Lynch, E. de Rafael, and C. Sachrajda, who coated either theoretical and phenoraenological elements of Q.

From Classical to Quantum Mechanics: An Introduction to the Formalism, Foundations and Applications

Offering a textbook advent to the formalism, foundations and functions of quantum mechanics, half I covers the elemental fabric essential to comprehend the transition from classical to wave mechanics. The Weyl quantization is gifted partly II, in addition to the postulates of quantum mechanics.

Quantum Description of High-Resolution NMR in Liquids

This booklet describes the most equipment of 1- and two-dimensional high-resolution nuclear magnetic resonance spectroscopy in beverages in the quantum-mechanical formalism of the density matrix. In view of the expanding value of NMR in chemistry and biochemistry, the paintings is very addressed to these scientists who don't have a operating wisdom of quantum calculations.

Additional resources for Classical And Quantum Dissipative Systems

Sample text

45. [10] M. Abraham, Ann. Physik, 10, 105 (1903). A. Lorentz, The Theory of Electrons and Its Applications to the Phenomena of Light and Radiant Heat, Second Edition (Dover Publications, New York, 1952). D. Jackson, Classical Electrodynamics, Third Edition (John Wiley & Sons, New York, 1999) Chap. 16. [13] F. Rohrlich, Classical Charged Particles, (Addison-Wesley, Reading, 1965) p. 214. [14] B. Leaf, Phys. Rev. 127, 1369 (1962). [15] B. Leaf, Phys. Rev. 132, 1321 (1963). O. Barut, Electrodynamics and Classical Theory of Fields and Particles, (The McMillan Company, New York, 1964).

3) for the Rayleigh function. 12) if we choose = 9j(^j) %ji ^j = constant. (3-14) Let us consider the special case of a one-dimensional motion where the force of friction is of the form f = -k\x\n. 15) In this relation n is an even integer and k is a positive constant. -. 18) • The Rayleigh and the Lur'e dissipative functions will account for the damping forces proportional to a given power of velocity, but not to the radiation reaction force which is proportional to the time derivative of the acceleration.

Helmholtz, J. reine angew. Math. 100, 137 (1887). [17] J. Douglas, Trans. Am. Math. Soc. 50, 71 (1940). [18] M. Henneaux, Ann. Phys. (NY) 140, 45 (1982). [19] V. I. D. Skarzhinsky, Lebedev Physical Institute Preprint No (216), Moscow (1978). D. M. Lifshitz, Mechanics, (Pergamon Press, London, 1960) p. 2. [21] V. I. D. Skarzhinsky, Hadronic J. 4, 1734 (1981). [22] S. Okubo Phys. Rev. A 23, 2776 (1981). [23] J. Geicke, unpublished (2000). [24] I. L. Jimenez and G. del Valle, Eur. J. Phys. 24, 469 (2003).

Download PDF sample

Rated 4.12 of 5 – based on 37 votes