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arxiv: 1711.04426 · v5 · pith:IZ2DFM3Hnew · submitted 2017-11-13 · 🪐 quant-ph · cond-mat.stat-mech

Dissipative Relativistic Bohmian Mechanics

classification 🪐 quant-ph cond-mat.stat-mech
keywords relativisticbohmiandissipativeequationmechanicsquantumableaccordingly
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It is shown that quantum entanglement is the only force able to maintain the fourth state of matter, possessing fixed shape at an arbitrary volume. Accordingly, a new relativistic Schrodinger equation is derived and transformed further to the relativistic Bohmian mechanics via the Madelung transformation. Three dissipative models are proposed as extensions of the quantum relativistic Hamilton-Jacobi equation. The corresponding dispersion relations are obtained.

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