Quantum Mechanics with Trajectories

  • Ángel S. Sanz
  • Salvador Miret-Artés
Part of the Lecture Notes in Physics book series (LNP, volume 850)


Bohmian mechanics allows to understand the quantum world in a classical-like fashion, by means of trajectories evolving throughout configuration space. This appealing feature has stimulated its application nowadays to many different problems from atomic and molecular physics, condensed matter physics, chemical physics or quantum chemistry, for example. This is a remarkable growth if one takes into account that this causal theory of quantum motion started as a simple hidden-variable model to disproof von Neumann’s theorem on the impossibility of hidden variables in quantum mechanics, and its applications initially covered fundamental problems. In this Chapter, the main elements of this theory are briefly revisited and they will be further developed in Volume 2. Furthermore, a contextualization of Bohmian trajectories with respect to alternative trajectory-based approaches to quantum mechanics, such as Feynman’s path integral, the semiclassical approximation, mixed/hybrid (quantum-classical) formulations or quantum (causal) stochastic trajectories, is also presented.


Wave Function Jacobi Equation Quantum Potential Bohmian Mechanic Standard Quantum Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg  2012

Authors and Affiliations

  • Ángel S. Sanz
    • 1
  • Salvador Miret-Artés
    • 1
  1. 1.Instituto de Física FundamentalConsejo Superior de Investigaciones CientíficasMadridSpain

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