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

By Ángel S. Sanz

Trajectory-based formalisms are an intuitively beautiful method of describing quantum tactics simply because they enable using "classical" strategies. starting as an introductory point appropriate for college students, this two-volume monograph offers (1) the basics and (2) the functions of the trajectory description of simple quantum techniques. This moment quantity is focussed on uncomplicated and simple functions of quantum approaches corresponding to interference and diffraction of wave packets, tunneling, diffusion and bound-state and scattering difficulties. The corresponding research is performed in the Bohmian framework. via stressing its interpretational facets, the e-book leads the reader to an alternate and complementary solution to greater comprehend the underlying quantum dynamics.

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Additional info for A Trajectory Description of Quantum Processes. II. Applications: A Bohmian Perspective (Lecture Notes in Physics)

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The three color curves displayed in Fig. , to CΔt ≡ PΔt . These curves allow us to illustrate the quantum shuffling process in three time regimes which depend on the relationship between τ , τZ and Δt: 1. For τ < τZ ≤ Δt, the correlation function (black solid line in Fig. 11(a)) is (0) clearly out from the quadratic-like time domain, CΔt is convex and therefore the perturbed correlation function always goes to zero much faster than the natural decay law (gray dotted line). This is what we call pure AZE, for the correlation function is always decaying below the unperturbed function.

14 (see text for details) of the wave packet (gray dotted line) and three cases where measurements have been performed at different time intervals Δt. 01 (blue dash-dotted line). 14. The three color curves displayed in Fig. , to CΔt ≡ PΔt . These curves allow us to illustrate the quantum shuffling process in three time regimes which depend on the relationship between τ , τZ and Δt: 1. For τ < τZ ≤ Δt, the correlation function (black solid line in Fig. 11(a)) is (0) clearly out from the quadratic-like time domain, CΔt is convex and therefore the perturbed correlation function always goes to zero much faster than the natural decay law (gray dotted line).

6). Comparing the Bohmian trajectories displayed in Fig. 5(a) with the contour-plot of Fig. 7, we readily notice how these trajectories evolve along the seemingly plateau structures, avoiding the canyon-like ones. The latter come from the nodes that appear in the wave function between consecutive diffraction peaks (see Fig. 4)—quantum forces are relatively strong and repulsive along in the vicinity of these regions. The appearance of these 18 1 Wave-Packet Dynamics: The Free-Particle Physics plateaus explains both the uniform motion described by trajectories in the far field and the fact that trajectories travelling along one of them never go into another (due to the strong quantum forces developed along the nodal lines).

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