{"product_id":"non-markovian-quantum-brownian-motion-a-non-hamiltonian-approach-von-a-o-bolivar","title":"Non-Markovian Quantum Brownian Motion","description":"\u003cp\u003eThe classical theory of Brownian motion is generalized so as to reckon with non-Markovian effects. This non-Markovian approach is also extended to look at anomalous diffusion. Next, we bring in the dynamical-quantization method for investigating open quantum systems, which does consist in quantizing the classical Brownian motion starting directly from our non-Markovian Klein-Kramers and Smoluchowski equations, without alluding to any model Hamiltonian. As far as the special case of a heat bath comprising of quantum harmonic oscillators is concerned, a non-Markovian Caldeira-Leggett quantum master equation and a thermal quantum Smoluchowski equation are derived and extended to bosonic and fermionic heat baths valid for all temperatures T¿0. Quantum anomalous diffusion and the phenomenon of tunneling of a quantum Brownian particle are investigated, too. We point out that our theoretical predictions uphold the view that our non-Hamiltonian quantum mechanics is able to fathom novel features inherent in quantum Brownian motion, thereby overcoming some shortcomings underlying the usual Hamiltonian approach to open quantum systems.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659694127\"\u003e\u003ch3\u003eA Non-Hamiltonian Approach\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659694127","offer_id":39449489571933,"sku":"9783659694127","price":69.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/dce7aba9-9342-4a93-8158-bafe2b1d367a.jpg?v=1763443293","url":"https:\/\/shop.autorenwelt.de\/products\/non-markovian-quantum-brownian-motion-a-non-hamiltonian-approach-von-a-o-bolivar","provider":"Autorenwelt Shop","version":"1.0","type":"link"}