Also known as the quantum theory of motion or the pilot wave theory. Three modern references giving different slants on this are:

  • D. Dürr, S. Teufel: Bohmian Mechanics: The Physics and Mathematics of Quantum Theory, Springer, Heidelberg (2009)

  • P. Holland: The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics, Cambridge University Press, Cambridge (1993, reprinted 1995, 1997, 2000, 2004)

  • D. Bohm, B.J. Hiley: The Undivided Universe: An Ontological Interpretation of Quantum Theory, Routledge (1993)



A lot of work is being done on this subject with a great deal of success, despite the fact that, mysteriously, it is not considered to be 'mainstream'. Efforts are being made to bring in relativity theory. Two references are


  • K. Berndl, D. Dürr, S. Goldstein, N. Zanghì: Nonlocality, Lorentz invariance, and Bohmian quantum theory, Phys. Rev. A 53, 2062-2073 (1996); arXiv:quant-ph/9510027v1 

  • D. Dürr, S. Goldstein, T. Norsen, W. Struyve, N. Zanghì: Can Bohmian mechanics be made relativistic? arXiv: 1307.1714v2 [quant-ph], 24 Dec 2013


Websites with explanations of Bohmian mechanics and extensive references are


A good introductory talk by S. Teufel can be viewed at 


Teufel talk





Jean Bricmont, celebrated rationalist, has published a book with this title. Perhaps more than any other book, it will show young students the advantages of Bohmian mechanics before they feel compelled to wade through the mystery tales that often accompany this subject. Click on the image of the cover to access the Springer page. Here is my review.