Physics – Quantum Physics
Scientific paper
2010-10-18
Physics
Quantum Physics
7 pages
Scientific paper
It is shown the role of a scalar potential in the Schr\"{o}dinger equation for a steady-state two-particle system is equivalent to an isometric entanglement of the position coordinates of the particles in space and time. The entangled coordinates of each particle are complex quantities related through the entangling transformation to the real positions of both particles. The transformation takes into account all of the states in the Hilbert space of the composite system. Transforming the Schr\"{o}dinger equation into these entangled coordinates eliminates the scalar potential.
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