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A Trajectory Description of Quantum Processes. II. by Ángel S. Sanz

By Ángel S. Sanz

Trajectory-based formalisms are an intuitively attractive means of describing quantum techniques simply because they enable using "classical" thoughts. starting as an introductory point compatible for college students, this two-volume monograph offers (1) the basics and (2) the functions of the trajectory description of simple quantum methods. This moment quantity is focussed on easy and uncomplicated purposes of quantum techniques resembling interference and diffraction of wave packets, tunneling, diffusion and bound-state and scattering difficulties. The corresponding research is performed in the Bohmian framework. through stressing its interpretational elements, the booklet leads the reader to an alternate and complementary option to higher comprehend the underlying quantum dynamics.

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Additional resources for A Trajectory Description of Quantum Processes. II. Applications: A Bohmian Perspective

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In the indirect measurement scheme used here, the dynamical system and the reservoir are entangled at all times except for such a regime since γ is not playing any role yet.

60). Thus, the corresponding quantum mechanical process is not a Markovian process in the customary sense of the term [57, 58]. 66), since it is independent of the surface temperature. 68). 69), while the sum over n plays an important role only at very low, but non-vanishing surface temperatures. 68) becomes unity and F (γ t; 0) displays a different time-dependence. 577 is Euler’s constant, and Ei(−γ t) and Ei(γ t) are the exponential integrals [65]. The environment no longer transfers energy to the adparticle due to the zero-point motion of the surface oscillators.

25 (blue). As it can be seen, the agreement between the correlation function and its envelope CΔt (t) becomes better as Δt decreases (see Figs. 8 Quantum Zeno and Anti-Zeno Effects 37 by Pn (t), whereas both will converge as Δt becomes smaller. Thus, while for long intervals Δt between consecutive measurements the envelope deviates importantly from the associated correlation function (see black dotted and solid lines), as Δt becomes smaller the difference between both curves reduces importantly and the relaxation takes longer times (of the order of τΔt ).

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