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Bohm's Quantum Potential as an Internal Energy

Quantum Physics 2015-06-23 v1

Abstract

We pursue our discussion of Fermi's surface initiated in Dennis, de Gosson and Hiley and show that Bohm's quantum potential can be viewed as an internal energy of a quantum system. This gives further insight into the role it played by the quantum potential in stationary states. It also allows us to provide a physically motivated derivation of Schr\"odinger's equation for a particle in an external potential.

Keywords

Cite

@article{arxiv.1412.5133,
  title  = {Bohm's Quantum Potential as an Internal Energy},
  author = {Glen Dennis and Maurice de Gosson and Basil Hiley},
  journal= {arXiv preprint arXiv:1412.5133},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T07:33:55.594Z