Quantization in classical mechanics and reality of Bohm's psi-field

Details Quantization in classical mechanics and reality of Bohm's psi-field Quantization in classical mechanics and reality of Bohm's psi-field

2009-06-09

arxiv.org/abs/0906.1723v2

Physics

Quantum Physics

16 pages, significant improvement after 0806.4050 and 0804.1427. (v2) revised and reconsidered conclusions

Scientific paper

Based on the Chetaev theorem on stable dynamical trajectories in the presence of dissipative forces, we obtain the generalized condition for stability of Hamilton systems in the form of the Schrodinger equation. It is shown that the energy of dissipative forces, which generate the Chetaev generalized condition of stability, coincides exactly with the Bohm "quantum" potential. Within the framework of Bohmian quantum mechanics supplemented by the generalized Chetaev theorem and on the basis of the principle of least action for dissipative forces, we show that the squared amplitude of a wave function in the Schrodinger equation is equivalent semantically and syntactically to the probability density function for the number of particle trajectories, relative to which the velocity and the position of the particle are not hidden parameters. The conditions for the correctness of the Bohm-Chetaev interpretation of quantum mechanics are discussed.

Affiliated with

Also associated with

No associations

Rating

Quantization in classical mechanics and reality of Bohm's psi-field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantization in classical mechanics and reality of Bohm's psi-field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization in classical mechanics and reality of Bohm's psi-field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65118