Quantum Physics


Particle in a Quantum $\delta$-Function Potential

Authors: Hristu Culetu

A quantum potential $V(x,t)$ of $\delta$-function type is introduced, to describe the inertial motion of a particle. Quantum-mechanically, it is in a bound state, though classically one seems to be free. The motion of the object (micro- or macroscopic) takes place according to the Huygens-Fresnel principle. The new position of the object (wave front) plays the role of the secondary sources that maintain the propagation. The mean value of the potential energy is $-mc^{2}$. We found that the de Broglie - Bohm quantum potential is the difference between the bound energy $E = - mc^{2}/2$ from the stationary case and our potential $V(x,t)$.

Comments: 8 Pages. I would like to have a minimal copyright license, if free.

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Submission history

[v1] 2018-04-04 09:59:52

Unique-IP document downloads: 14 times

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