Abstract
Quantum Mechanics is a good example of a successful theory. Most of atomic phenomena are described well by quantum mechanics and cases such as Lamb Shift that are not described by quantum mechanics, are described by quantum electrodynamics. Of course, at the nuclear level, because of some complications, it is not clear that we can claim the same confidence. One way of taking these complications and corrections into account seems to be a modification of the standard quantum theory. In this paper and its follow ups we consider a straightforward way of extending quantum theory. Our method is based on a Bohmian approach. We show that this approach has the essential ability for extending quantum theory, and we do this by introducing “non-Bohmian” forms for the quantum potential.
Similar content being viewed by others
References
Bohm, D.: A suggested interpretation of quantum theory in terms of hidden variables. I and II. Phys. Rev. 85(2), 166–193 (1952)
Dürr, D., Goldstein, S., Zanghi, N.: Bohmian mechanics as the foundation of quantum mechanics. In: Cushing, J.T., Fine, A., Goldstein, S. (eds.) Bohmian Mechanics and Quantum Theory: An Appraisal. Springer, Berlin (1996). Preprint arXiv:quant-ph/9511016v1
Goldstein, S.: Bohmian mechanics and the quantum revolution. Synthese 107, 145–165 (1996). Preprint quant-ph/9512027v1
Granik, A.: On the elementary derivation of the Hamilton-Jacobi equation from the second law of Newton (2003). Preprint arXiv:physics/0309059v4
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Atiq, M., Karamian, M. & Golshani, M. A New Way for the Extension of Quantum Theory: Non-Bohmian Quantum Potentials. Found Phys 39, 33–44 (2009). https://doi.org/10.1007/s10701-008-9260-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10701-008-9260-y