{"product_id":"quantization-of-nonconservative-systems-von-abdul-wali-ajlouni","title":"QUANTIZATION OF NONCONSERVATIVE SYSTEMS","description":"\u003cp\u003eMost advanced methods of classical mechanics deal  only with conservative systems, although all natural  processes in the physical world are nonconservative.  Classically or quantum-mechanically treated,  macroscopically or microscopically viewed, the  physical world shows different kinds of dissipation  and irreversibility, ignored in analytical  techniques, this dissipation appears in friction,  Brownian motion, inelastic scattering, electrical  impedance, etc. The main achievements of this work are, then, the  following:  1. Completion of the classical framework of  fractional mechanics, including the definition of  the canonical variables and the Poisson-bracket  relations and their generalization as well as  writing Hamilton''s equations of motion in terms of  Poisson brackets. 2. Construction of a quantization theory which  incorporates dissipative effects. This includes the  relevant commutation relations as well as deriving  the appropriate Schrödinger''s equation and the  generalized Heisenberg''s equation.  3. The quantization for the first time of two well- known problems: the charged-particle interaction  with matter; and Brownian motion.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838372501\"\u003e\u003ch3\u003efractional quantum mechanics\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838372501","offer_id":39469252706397,"sku":"9783838372501","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a3ba38f1-d6f7-4425-be78-7af5cd5e426c.jpg?v=1769667904","url":"https:\/\/shop.autorenwelt.de\/products\/quantization-of-nonconservative-systems-von-abdul-wali-ajlouni","provider":"Autorenwelt Shop","version":"1.0","type":"link"}