Abstract
A geometric approach to quantum mechanics which is formulated in terms of Finsler geometry is developed. It is shown that quantum mechanics can be formulated in terms of Finsler configuration space trajectories which obey Newton-like evolution but in the presence of an additional kind of potential. This additional quantum potential which was obtained first by Bohm has the consequence of contributing to the forces driving the system. This geometric picture accounts for many aspects of quantum dynamics and leads to a more natural interpretation. It is found for example that dynamics can be accounted for by incorporating quantum effects into the geometry of space-time.
Highlights
It is still a task to understand and interpret quantum mechanics
Quantum mechanics is not so easy to formulate in terms of a dynamical, geometric description in terms of trajectories in some configuration space for a number of reasons
Bohmian trajectories follow the flux lines of probability current which is a function of the position coordinate of the particle involved. This implies that there is a certain nonlocality inherent in the usual picture. Bohm realized that this kind of dynamics can be described by configuration space trajectories which follow a Newton’s law evolution, but under the influence of a quantum potential in addition to the external potential
Summary
Space trajectories which obey Newton-like evolution but in the presence of an additional kind of. Any further distribution of this work must maintain potential. This additional quantum potential which was obtained first by Bohm has the consequence attribution to the author(s) and the title of of contributing to the forces driving the system. This geometric picture accounts for many aspects of the work, journal citation quantum dynamics and leads to a more natural interpretation. Can be accounted for by incorporating quantum effects into the geometry of space-time
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