Applied Bohmian mechanics : from nanoscale systems to by Xavier Oriols Pladevall, Jordi Mompart

By Xavier Oriols Pladevall, Jordi Mompart

Most textbooks clarify quantum mechanics as a narrative the place each one step follows certainly from the only previous it. even if, the advance of quantum mechanics was once precisely the contrary. It used to be a zigzagging path choked with own disputes the place scientists have been pressured to desert well-established classical strategies and to discover new and resourceful routes. This ebook demonstrates the massive useful software of one other of those routes in explaining quantum phenomena in a variety of study fields. Bohmian mechanics―the formula of the quantum idea pioneered by way of Louis de Broglie and David Bohm―offers an alternate mathematical formula of quantum phenomena by way of quantum trajectories. It sheds gentle at the limits and extensions of our current figuring out of quantum mechanics towards different paradigms, similar to relativity or cosmology.

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Hiley, The Uundivided Universe: An Ontological Intepretation of Quantum Theory, (Routledge & Kegan Paul, London, 1993). ¨ 22. E. Madelung, Quantentheorie in hydrodynamischer Form, Zeitschrift fur Physik, 40, 322 (1926). 23. cat This chapter provides a comprehensive overview of the Bohmian formulation of quantum mechanics. It starts with a historical review of the difficulties found by Louis de Broglie, David Bohm, and John S. Bell to convince the scientific community about the validity and utility of Bohmian mechanics.

This explains why the initial development of quantum theory (see Sec. 3) was so traumatic. Quantum explanations did not evolve from a small variation of classical mechanics but from radically new ideas. The languages of both theories were completely different. Classical theory provides an explanation of a physical experiment on particles in terms of a well-defined trajectory, while the quantum orthodox theory needs a wave function. Here, we will see that both a wave description of an ensemble of classical particles and a description of quantum systems with trajectories are possible.

C01 April 27, 2012 12:32 PSP Book - 9in x 6in Historical Development of Bohmian Mechanics seems that Bohm became dissatisfied with the orthodox approach that he had written in his book and began to develop his own causal formulation of quantum theory, which he published in 1952 [2, 3]. The original papers by Bohm [2, 3] provide a formal justification of the guidance equation developed 25 years before by de Broglie. Instead of reproducing his exact mathematical development in terms of the quantum Hamilton–Jacobi equation, here, we discuss a very simple explanation of the guidance equation.

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