کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1861083 | 1530571 | 2015 | 4 صفحه PDF | دانلود رایگان |
• The quantum potential is seen as internal energy associated with a phase space region.
• Fermi's trick shows that Bohm's particle is an extended structure in phase space.
• We associate Bohm's quantum potential with a context-dependent energy redistribution.
• A physically motivated derivation of Schrodinger's equation is provided.
• We show the Fermi set associated with a 3-D coherent state contains a quantum blob.
We pursue our discussion of Fermi's surface initiated by Dennis, de Gosson and Hiley and show that Bohm's quantum potential can be viewed as an internal energy of a quantum system, giving further insight into its role in stationary states. This implies that the ‘particle’ referred to in Bohm's theory is not a classical point-like object but rather has an extended structure in phase space which can be linked to the notion of a symplectic capacity, a topological feature of the underlying symplectic geometry. This structure provides us with a new, physically motivated derivation of Schrödinger's equation provided we interpret Gleason's theorem as a derivation of the Born rule from fundamental assumptions about quantum probabilities.
Journal: Physics Letters A - Volume 379, Issues 18–19, 26 June 2015, Pages 1224–1227