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Book synopsis

The 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.

Book details

• Full title: Non-Markovian Quantum Brownian Motion
• Subtitle: A Non-Hamiltonian Approach
• Author: A. O. Bolivar
• Language: English
• Binding: Paperback
• Number of pages: 216
• EAN: 9783659694127
• ID: 09357224
• Publisher: LAP Lambert Academic Publishing
• Weight: 338 g
• Dimensions: 220 × 150 × 13 mm
• Date of publishing: 21. May 2015

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