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Open Quantum Systems Decoherence
Isometric Entanglement of Particle Positions in Quantum Bound Systems
arXiv
Authors: Robert J. Ducharme
Year
2010
Paper ID
10819
Status
Preprint
Abstract Read
~2 min
Abstract Words
87
Citations
N/A
Abstract
It is shown the role of a scalar potential in the Schrödinger 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 Schrödinger equation into these entangled coordinates eliminates the scalar potential.
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- It is shown the role of a scalar potential in the Schrödinger equation for a steady-state two-particle system is equivalent to an isometric entanglement of the position...
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